The Thomist 68 (2004): 507-29 WHAT IS NATURAL LAW? HUMAN PURPOSES AND NATURAL ENDS ROBERT SOKOLOWSKI The Catholic University of America Washington, DC E THICS IN GENERAL, and medical ethics in particular, are obviously related to human self-understanding, to what we could call philosophical and theological anthropology. Our understanding of what is ethical and unethical is connected to what we take ourselves to be. The relationship, however, is not one-sided. It is not the case that we could work out a comprehensive description or definition of human nature as a purely theoretic enterprise and then apply this knowledge to practical issues, the way we might work out some ideas in mathematics and then apply them to problems in engineering and physics.1 Rather, the working out of the definition and description of human nature is at the same time the formulation of what we ought to be as human beings, because the good or perfected state of man, which is the issue for ethics, is what defines human being. The normative is also the definitional. We cannot describe what man is without specifying the human good, without showing what it is to be a good (and consequently "happy") man. To want one of these dimensions without the other would be like wanting to study physiology, whether human or simply animal, without mentioning health and its various contraries, such as illness, injury, and impairment. 1 Even in mathematics, the relationship of theory and practice is not one-sided. Many innovations in mathematics arise from real problems of computation, not from abstract mathematics. The stimulus to mathematical thinking often lies in real-world questions. 507 508 ROBERT SOKOLOWSKI But human nature is more complicated than physiology. There are few disagreements about what constitutes health and sickness, but there are many opinions about what constitutes human excellence. As Aristotle says, we all agree on a name for human happiness, but we disagree very much on what makes it up. 2 Still, the fact that we have at least a name in common is important; it shows that we start with some common ground in this domain. We may differ about the what of happiness, but not about the that, nor do we differ on the fact that we want and need to be happy. The reason we can argue about these differences is that they all pertain to one and the same quest and target. The just man and the hedonist might act very differently, but in some sense they are aiming at the same thing. We are all concerned not just about living but about living well, not just about life but about the good life, and this little difference, between living and living well, greatly complicates the human condition. In fact, it makes it to be the human condition. When we say that man is a rational animal, we do not just mean that he is an animal that calculates and draws inferences; we mean, more substantially, that he is an animal that is concerned about living well and not just living. I. THE DISTINCTION BETWEEN ENDS AND PuRPOSES To explore this complexity of human beings, I wish to discuss the difference between ends and purposes. The distinction has been formulated by Francis Slade, in a striking modern recapitulation of classical philosophical ideas.3 An end, a telos, belongs to a thing in itself, while a purpose arises only when there are human beings. Purposes are intentions, something we wish for and are deliberating about or acting to achieve. Ends, in contrast, are there apart from any human wishes 2 Aristode, Nicomacbean Ethics 1.4. Slade, "On the Ontological Priority of Ends and Its Relevance to the Narrative Arts," in Beauty, Art, and the Polis, ed. Alice Ramos (Washington, D.C.: The Catholic University of America Press, 2000), 58-69; and "Ends and Purposes," in Final Causalityin Natureand Human Affairs,ed. Richard Hassing (Washington, D.C.: The Catholic University of America Press, 1997), 83-85. 3 See Francis HUMAN PURPOSESAND NATURAL ENDS 509 and deliberations. They are what the thing is when it has reached its best state, its perfection and completion in and for itself. Ends and purposes are both goods, but goods of different ontological orders. Purposes come into existence when human beings set out thoughtfully to do something. Purposes are wished-for satisfactions in view of which an agent deliberates and acts. A man might set various purposes for himself, such as becoming a lawyer, supporting his family, going on vacation, or giving someone a gift, and he will do various things toward achieving this purpose: he will apply to law schools, get a job, buy tickets, or go shopping. Once a man has a purpose, he articulates the various ways in which the purpose can be achieved (this "shaking out" of means toward the goal is called deliberation); he then performs the action that, as far as he can see, is the best option in the present circumstances (this selection is called choice).4 Thus, purposes exist "in the mind" and not in things, and they exist only because there are human beings. It would be correct but somewhat misleading to say that purposes are psychological entities, because they are more conceptual and logical than, say, moods or emotions, but it would be true to say that they are part of our thinking and that they are different from the ends found in things, which are there independently of our wishes and actions. Ends, in contrast, do not spring into being through human foresight. They do not spring into being at all; they come about concomitantly with the things they belong to. Things might spring into being when they are generated or made or occur by accident, but ends do not arise without the thing. An end is the finished, perfected state of a thing, the thing when it is acting well as what it is. To clarify this point, we must distinguish three kinds of ends. First , some ends are, in principle, entirely unrelated to human beings. The end of a tree is to grow, sprout leaves, nourish itself, and reproduce: to be active and successful as a tree, as an entity of this kind. The end of a zebra is to grow to maturity, nourish 4 Aristotle's analysis of wishing, deliberation, choice, and purposes is found in NicomacheanEthics 3.1-5. 510 ROBERT SOKOLOWSKI itself, reproduce, and live with other zebras. Trees and zebras function well as trees and zebras when they act this way, and we know what a tree and a zebra are when we can say what it means to act well as a thing of this kind. A zebra might break its leg or be eaten by a lion, but possibilities like these do not define what a zebra is. They are not part of what it is, its essence, which is displayed most fully not when the zebra merely exists but when the zebra is acting well. Second, some ends belong to things that have come into being through human agency. Artifacts and institutions, things brought about by human making and agreements, have essences and ends. It is not the case that only natural substances have a telos. Consider an institution such as an art museum. Its telos is to make works of art available for public viewing, and part of this activity will be the acquisition and preservation of such works. The end of a bicycle is the transportation of individuals, and the end of a ballpoint pen is to be used in writing or drawing. In each case, the end defines what the thing is. It is interesting and important to note that even though artifacts and institutions are brought about by human beings to serve our purposes and our ends, we cannot change what they are. We might suppose that because we have made them, we could turn them into anything we wish, but they resist such manipulation; even as instrumental beings, they have their own nature or essence and ends. They inhabit a niche in the possibilities laid open in the world. We may have brought them into being, but they do not become our purposes. They retain their own ends and we have to subordinate ourselves to them. To claim that institutions and artifacts have no definition, and that they could be changed by us at will, would mean that they could not be ruined or destroyed by us. Any change would just be a redefinition, carried out by us, who would have freely defined the thing in question in the first place. We could not really "spoil" anything, but experience shows that we can and often do. I would like to illustrate this understanding of ends by quoting from a book review. The reviewer, Josie Appleton, describes a book based on a series of lectures given by five directors of major HUMAN PURPOSESAND NATURAL ENDS 511 museums in the United States and Great Britain. 5 The lectures were given at Harvard in 2001-2002. Many of the speakers complained about the tendency of museums to engage in all sorts of activities unrelated to what we could call their proper end, such as "inviting you to try on period costumes or make your own ceramic pots." In describing the "key insight" of the book, the reviewer says, "Each public institution has an essence, a reason for its existence, be it making sick people well, improving general welfare, or, in the case of museums, collecting and exhibiting art." 6 She adds that an institution will keep the public's trust only if "it remains true to its essence." These remarks are an excellent expression of what ends are and the obligations they impose on people who deal with the things in question. We have listed two kinds of things that have ends: first, nonhuman things like zebras, trees, and spiders; and, second, human institutions and artifacts, such as museums and ballpoint pens. There is a third kind that must be added to the list. Human beings themselves have ends. They have an overall end, which we could call happiness, and which is easy to name but difficult to define; but there also are ends for the various powers that human beings enjoy. There is a telos for human sociability, for example, for human thinking, for human sexuality, for bodily nourishment, for dealing with dangerous and painful things. There is also a telos for human bodily and psychological health. It is especially this third category, the ends of human nature, that gives rise to moral problems. In this category it is most difficult for us to discover what the ends truly are, because here our purposes and our ends become most entangled with one another. Our inclinations and desires give rise to purposes, and sooner or later a conflict arises between what we want and what we truly are. It is quite easy to see what the ends of nonhuman things are; it is more difficult to unravel ends and purposes in regard to institutions and artifacts; 5 Josie Appleton, "One at a Time," review of Whose Muse? Art Museums and the Public Trust (Princeton: Princeton University Press, 2003), in the Times Literary Supplement, 26 March2004. 6 I particularly like the remark that a thing's "essence" is a "reason for its existence." A classical metaphysician could not have said it better. 512 ROBERT SOKOLOWSKI but it is extremely hard to distinguish ends and purposes in regard to our own nature and its powers. To explore this problem, we must examine more carefully how ends and purposes come to light. This essay will essentially be a study of the kind of truth associated with ends. II. How ENDS ARE DIFFERENTIATED FROM PuRPOSES It is not the case that ends are presented to us all by themselves, separate from purposes. It is not the case that we first get a clear, vivid idea of the ends of things, and then only subsequently attach our purposes to them. Moral issues would be much simpler if this were so; indeed, if it were so, there would be no moral problems. Our moral measures would be easily accessible. The human problem arises precisely because we have to distinguish ends and purposes in our activity, and it is often difficult to do so. Ends and purposes come to light in contrast with one another. For example, the end of medicine is the restoration and preservation of health, but a man might have many different purposes in practicing medicine. He may intend to heal people and keep them healthy, he may intend to earn money, he may intend to become famous, he may intend to become a politician, or, if he is a vicious agent, he may want to become adept at torturing people. At first, medicine comes to us soaked through with such purposes, often with many of them, and it takes moral intelligence to make the distinction between what belongs to medicine as such and what purposes we have in practicing it. Obviously, the people who teach the medical student will talk about the distinction, but ultimately the student and later the doctor has to make the distinction for himself; the teacher cannot make it for him. No one can make a distinction for anyone else; a distinction is someone's mind at work. The telos and the essence of the thing come to light for us precisely in contrast with our purposes, and our purposes also come to light in contrast with what belongs to the things themselves. It is even misleading to say that ends and purposes come to us entangled with one another. This way of putting it suggests that HUMAN PURPOSES AND NATURAL ENDS 513 we already have differentiated the two but that they have at this moment become enmeshed. Rather, what occurs is that the very contrast between ends and purposes has not yet arisen, that the very categories are not yet available. What we begin with precedes the distinction, and the distinction needs to be made. It has to be made, furthermore, not in placid contemplation of a neutral scene, but in the tumult of desires, emotions, and interests, in the thick of things. Many of our purposes are compatible with the ends of the things we are involved with. Earning income by being a doctor is not incongruent with the end of medicine, but it can become so, just as it can enter into collision with being a lawyer or a statesman. This conflict happens when the purpose overrides the end and works against it, when, for example, an estate lawyer delays the execution of a will in order to increase his fee, or when a doctor performs unneeded surgeries in order to be able to charge the insurance company. Using a ballpoint pen as a bookmark does not conflict with the end of the writing instrument, but using it to pry things open may well do so. Distinguishing the ends of things against the pressure of our own purposes is analogous to distinguishing the just against the pressure of our own interests. In both cases, we let the objectivity of things come into our consciousness, but the objectivity enters there not as a solitary visitor, all by itself; it enters by being differentiated from what we want. Is it possible that someone's purpose can coincide with the end of the thing? Certainly, it can; a doctor can have as his purpose here and now the restoration of this sick person's health. The end of the medical art is in this case the purpose the physician has in mind as he practices his art, and one hopes that a physician would in general have as one of his purposes the end of the art of medicine, that he would respect the end of his art and not let his other purposes override it. But even when purpose and end overlap, there remains a difference between them, and the distinction still comes into play. One and the same good presents itself under two guises, as the end of the art and as the purpose of the agent. A formal distinction arises in the way the good appears 514 ROBERT SOKOLOWSKI even though the good, healing this sick person, remains materially the same; the end does not turn into a purpose, and the purpose does not become an end. The fact that the material good remains the same might conceal from us the fact that there are two ways in which it can appear, two faces that it can present. Let us suppose that a given doctor does have healing as his purpose in practicing medicine; his purpose is the same as the end of the art. Even this would not be enough. Such a doctor would still not think clearly if he assumed that healing is only his purpose, or that it is only the purpose of his associates in the art, and that no defining constraints came into play from the art itself, apart from the purposes of the practitioners. If he thought this way, he would not see or admit that healing, besides being his purpose, is also the end of the art, and that he and his colleagues could not define it in any other way; he would not see that he and his colleagues should have as their central and non-negotiable purpose the restoration and preservation of health. Medicine is so defined not because society wants to determine it this way, but because that is what it is. III. BARRIERS TO THE DISTINCTION Not everyone is able to distinguish the end from the purpose. There are at least four types of people who are impeded from distinguishing them: the impulsive, the obtuse, the immature, and the vicious. First of all, it takes a certain development just to be able to have purposes. Children and childish people do not yet have purposes. They want things, and they might want things in the future, but they do not distinguish between what they want and what they are doing now, that is, they do not "shake out" the difference between purposes and the steps to attain them. Children are, quite naturally, impulsive. They have not yet developed the ability to think dearly about what they wish for, nor can they distinguish between what they wish for and what they can do now, nor can they discover optional ways of getting HUMAN PURPOSESAND NATURAL ENDS 515 to what they want, nor can they determine which is the best and most feasible way to get what they wish, nor can they, finally, take the first step, as well as all the succeeding steps, to get what they want. To articulate a situation and a desire in this way involves practical thinking. It is the introduction of moral syntax into our consciousness. Impulsive people have not developed this power of reason, this power of practical categoriality. Their future collapses into their present. Children are naturally impulsive, but some people remain childish even as they get older. Thus, Aristotle says that a young man, because of his impulsiveness and lack of experience, is not an appropriate hearer of lectures on political matters, and then he adds, "It makes no difference whether he is young in years or youthful in character; the defect does not depend on time, but on his living, and pursuing each successive object, as passion directs. " 7 Second, we may have become adult enough to establish distinct purposes and to determine the steps that lead to them, but we may still be unable to appreciate the presence of other people with their purposes. We permit entry into our awareness only of what we want. We remain unable to see that other people have their viewpoints and needs, that we are not the only agents involved in our situations. To fail to be "objective" in this way is to be what I would like to call "morally obtuse" as opposed to being vicious. Someone who double-parks his car and blocks traffic may not be malicious-he doesn't want to injure other people-but he is morally obtuse. He is simply and happily oblivious to the fact that there are other people in the situation who are being seriously inconvenienced. His consciousness does not expand enough to include the perspectives of others, even though he is able to distinguish means and purposes in his own case. A patient in a hospital room may keep the television playing all night long "so that he can sleep," oblivious to the other patients in the room. Such obtuseness is a failure in practical thinking, but it is different from vice and also different from the 7 Aristotle, Nicomachean Ethics 1.3. 516 ROBERT SOKOLOWSKI childishness in which one cannot distinguish a purpose from the means of attaining it. Third, immaturity is the state of mind in which we are unable to distinguish what we (and others) want from the demands and obligations of the world itself; that is, we fail to distinguish our purposes from the ends of things. ·To be able to make this distinction is to be "objective" in a new way, one different from simply recognizing the presence of other agents. If we merely recognize other people and acknowledge that they too have purposes, all we would have is a world of cross-purposes and ultimate violence, which would amount to a war of all against all.8 This is where the apotheosis of autonomy and choice leads. Recognizing the ends of things and the ends of our own nature, however, would help pacify this conflict. The only alternative to such peace through the truth of things is the establishment of a will that is overwhelmingly powerful, the sovereign or Leviathan, who pacifies by decree and not by evidence, and for whom there are no ends or natures in things. Let us use the term "moral 8 See Slade, "On the Ontological Priority of Ends," 67-68: "What happens when end is reduced to purpose and consequence becomes visible in the films of Quentin Tarentino, which picture a 'world' in which there are only purposes of human beings, a 'world without ends.' In such a world there cannot be any congruity or incongruity of purposes with ends. There being no ends by which purposes can be measured, all purposes are in themselves incommensurate and incongruous with one another. This is a world in which everything is violent, because there is no natural way for anything to move. But a world in which everything is violent means that violence becomes ordinary, the usual, the way things are. The violent displaces and becomes 'the natural.' ..• The violence shocks [us] because we are not nihilists, because we are still measuring what people do in these films by a world in which there are ends, not just human purposes •••• A world of purposes only is a world of cross-purposes, the definition of fiasco." Slade goes on to say that if the world had nothing but purposes the narrative arts could not exhibit the forms of things and the forms of human life; it could only show off the style of the artist who composes the work of art. Every life then becomes "a tale told by an idiot, full of sound and fury, signifying nothing," with the difference that Shakespeare knows the distinction between an idiot's tale and a human life, while T arentino does not. Slade compares Tarentino with Kafka, who also describes a world without ends, but who knows how terrifying it is; Tarentino, in contrast, finds it funny. Slade says, "A world of fiasco is a world in which guilt is impossible, because guilt requires responsibility for actions, and there are actions only if purposes are measured by ends." One should notice the idea that true human action, true praxis, can occur only when the distinction between ends and purposes is at least glimpsed by the agent. HUMAN PURPOSESAND NATURAL ENDS 517 maturity" to name the ability to see that things themselves have their own excellences that need to be respected if the things are not to be destroyed. This virtue enables us to take up a viewpoint that goes beyond our own desires and the desires of others. Fourth and last, there is vice. We may acknowledge the ends of things and the viewpoints of other persons, but we deliberately and maliciously let our purposes override them. We fail in regard to justice not because we are impulsive, obtuse, or immature, but because we are unjust. We want to destroy the thing in questionthe educational institution, the work of art, the church-and we want to injure others. We don't simply do unjust things; we are unjust; we do not, say, simply commit a murder; we are murderers. We have gotten to be this way because of the choices we have made in the past. The inclination to destroy the thing is always associated with some malice toward others; we destroy the thing because it could be a good for others. 9 These, then, are four ways in which the truth of ends can be occluded: impulsiveness, moral obtuseness, immaturity, and vice. In any given case, the lack of moral insight into the ends of things might be explained by some combination of these four, just as an agent's deficiency might be caused by something intermediate between weakness and malice. What we are discussing is the way that the difference between ends and purposes comes to light, which amounts to the way in which the truth of things is disclosed. If we are to show how truth occurs, it is necessary to show what impedes such an occurrence, what hides the truth. We can appreciate a disclosure only in contrast with the forms of concealment that are proper to the thing in question. IV. How ENDS ARE DISTINGUISHED FROM CONVENTIONS There is one more distinction that needs to be made in discussing how the ends of things come to light. We have examined how they are played off against purposes, but they should also be ? On the role of malice and friendship in morals, see Roben Sokolowski, "Phenomenology of Friendship," Review of Metaplrysics55 (2002): 451-70. 518 ROBERT SOKOLOWSKI contrasted with conventions, which are different from the institutions and artifacts that we discussed earlier. Institutions and artifacts exist independently once they are made, but conventions-manners and morals-are ways in which we act as human beings. They are more proximately related to our human nature and its ends, because they indicate how we should conduct ourselves, how we should become actualized. We normally encounter the good and the bad, the noble and the ugly, the obligatory and the prohibited, in our society's laws, customs, manners, and morals. The challenge we initially encounter in life is to make our inclinations, purposes, and choices conform to the injunctions of our community. In most cases it is right and good to conform to social norms, because they are usually reasonable expressions of the natural good. Social conventions and moral traditions, based on long and localized human experience, are normally an embodiment of what is good or bad in itself, the good or bad by nature. Our initial moral challenge is to become "law-abiding citizens," people whose purposes are in harmony with the laws and moral traditions of their community. 10 Still, conventions cannot be the final word, just as our purposes cannot be the final word. Sometimes conflicts arise in regard to the moral traditions themselves and criticism is necessary. The way things are done needs to be more adequately adjusted; but adjusted to what? What else, but to the way things are? When this sort of "crisis" occurs, we appeal at least implicitly to the ends of the things in question; this appeal is made even by people who may deny that things have ends. What else could one invoke? Suppose, for example, that in a given community the art of medicine routinely involved abortion, infanticide, and euthanasia, and that it trained its apprentices in these procedures. P. D. James's novel The Children of Men presents a !=hilling fictional picture of a situation in which the sick and elderly are granted a "quietus" (which they are not pleased to undergo). It is, first of all, questionable whether under these conditions the medical art 10 Thus, for Aristotle, the first meaning of justice is the lawful (NicomacheanEthics 5.1). HUMAN PURPOSESAND NATURAL ENDS 519 could survive, because people would hesitate to go to doctors and hospitals if killing were to be one of the available "treatments." 11 Acting against the end of the art will tend to destroy the art. But suppose the art were being practiced in this manner; some people would argue against using medicine to kill, and their argument would be based both on human dignity and on the fact that this aspect of "medicine" is opposed to medicine; it is opposed to the essence and the end of the art. Their argument would be based on the nature of the art as well as on the dignity of human nature, that is, on the telos of each of the entities involved in the practice. As another example, suppose that polygamy were accepted in a certain community. 12 To argue that the practice should be changed, one would appeal to one of the ends of marriage, and the argument would be specific and concrete, showing that this way of being married conflicts with the kind of friendship and commitment that marriage "in itself" implies. Such conflicts between an established convention and the way things ought to be show that conventions do not cage people. Conventions can be questioned and changed, and they are questioned when one thinks that they do not properly express the reality they deal with (in these instances, with the art of medicine and the institution of marriage). The ancient practice of suttee in India would be another example; the British abolished the practice not because 11 At one point in the novel, the protagonist, Theo, is in a museum in Oxford and passes by the custodian, whom he recognizes as "a retired classics don from Merton." He asks him how he is, and the custodian replies nervously, "Oh, very well, yes, very well, thank you ... I'm managing all right. I do for myself, you know. I live in lodgings off the Iffley Road but I manage very well. I do everything for myself. The landlady isn't an easy woman ••• but I'm no trouble to her. I'm no trouble to anyone." Theo wonders what he is afraid of: "The whispered call to the SSP that here was another citizen who had become a burden on others?" (P. D. James, The Children of Men [New York: Warner Books, 1992], 120-21. The passage is a fine expression of the radical individualism in the modern state: "I do everything for myself." 12 Here is an interesting passage in which a writer fails to distinguish between customs and the ends of things: "Monogamy, albeit in various different forms, was the norm in classical antiquity, and it is still the norm in most Western civilizations (except in Utah). It is all too tempting to see those features of our culture which we have retained since antiquity as somehow natural for any human society, but of course there is no reason to make this assumption" (Emily Wilson, "Why Exactly Do We Look Back?" Times Literary Supplement, 25 June 2004 [review of Simon Goldhill, Love, Sex and Tragedy]). 520 ROBERT SOKOLOWSKI they simply preferred other customs, but because it was contrary to human nature and the nature of marriage. This does not mean that the critic of a law or a practice has a full, independent vision of the nature and end of the thing in question and that he compares the convention with it; rather, faced with the law or custom, he knows and says that "this is not the right way to do things" (an observation that might well put him into some tension with his fellows). He knows the end at first more by negation than by positive insight. It is a contrastive knowledge, not an independent vision, but it is still a grasp of the thing itself over against its distortion. The true comes to light against the established delusion. Thus, one of the ways that ends are manifest is in contrast with custom and convention. 13 It is not the case, however, that we get a view of the thing's telos only when there is a conflict between the convention and the end. It is also possible for someone to have the insight that this convention or this practice, this way of doing things, does indeed reflect the end of the thing in question. It takes intellectual strength to make this distinction, because we have to see one and the same thing in two guises, as good by convention and also as good in itself. Most of the time we simply accept the conventional good on its face; it is the way everybody does things, and so it must be right; it is the way things ought to be. To be able to give arguments based not just on convention but on the way things are is a more sophisticated achievement. It involves the recognition, not attainable by everyone, that there are two kinds of "ought." It is analogous to the physician's ability to see healing as both his purpose and the end of his art. In either case, whether we are distinguishing the ends of things from conventions or from our purposes, we need to have a certain intellectual flexibility. It is more than the power to distinguish one thing from another. We need the ability to distinguish two dimensions, two ways in which something can be good: as an end or a convention, or as an end or a purpose. Distinguishing this theme in an earlier essay; see "Knowing Natural Law," in Robert Sokolowski, Pictures,Quotations, andDistinctions:Fourteen&says in Phenomenology(Notre Dame: University of Notre Dame Press, 1992), 277-91. 13 I have developed HUMAN PURPOSESAND NATIJRAL ENDS 521 dimensions is more difficult than distinguishing things. When people deny that there are natural ends to things, they do not merely fail to distinguish one thing from another; they fail to appreciate that there are two ways in which goods can present themselves to us. The ability to make this distinction belongs to practical as well as theoretic reason. In the previous two sections we showed how ends are differentiated from purposes, and we examined four obstacles to that differentiation. In this section we have spoken about the distinction between ends and convention. I now wish to make what might seem to be a rather sudden leap in my argument; I wish to introduce the notion of natural law. This topic might seem different from what we have been discussing, but it really is not. V. NATURAL LAW I wish to use an important and illuminating observation by Francis Slade, a way of defining natural law that has, I think, considerable intuitive force. To the question, "What is natural law?", one can answer very simply: "Natural law is the ontological priority of ends over purposes. " 14 Natural law is shown to us when we recognize that there are ends in things and that our purposes and choices must respect their priority. This understanding of natural law would imply that our discussion of ends and purposes in this essay has all along been a treatment of natural law and the way it is manifested to us. The precedence of ends over purposes occurs especially in regard to the ends that are proper to human nature and its various powers. For example, the ends built into human nourishment must be seen to govern the way we eat, and the ends built into human sexuality must be seen to govern the way we live with our sexuality. In both of these powers, we ought not to be governed by what we simply want and the purposes we set for ourselves; we must differentiate between what we want and the reality and the telos of the thing we are 14 Slade formulated this concept of natural law in conversation. I am grateful for his permission to use it in this essay. The formulation is implied in the title of his essay, "On the Ontological Priority of Ends and Its Relevance to the Narrative Arts," cited above in note 3. 522 ROBERT SOKOLOWSKI dealing with. We must have a sense that our purposes must be measured by the way things are, which means that they must be measured by the way things should be. The distinction between purpose and end has to dawn on us, and when it does dawn on us we experience the pressure and the attraction of the way things have to be. We encounter "the natural law." We might be tempted to think of natural law as a kind of codex, a set of imperatives that could be formulated in a purely theoretic, systematic exercise, identifiable and arguable apart from any particular moral tradition. 15 The use of the term law to name what is good by nature reinforces this tendency. But if we think of natural law in this way, we could easily be led into skepticism: If the precepts of natural law are so lucid and rational, why is there so much disagreement and so much obscurity about them? The fact of moral controversy would, in this viewpoint, show that natural law cannot be a codex, and if that is the only concept we have of it, we might conclude that there is no such thing. If, on the other hand, we recognize that not everyone will have a good sense of the true ends of things (the impulsive, obtuse, immature, and vicious are far less able to recognize them), and if we see such ends not as grasped beforehand but as differentiating themselves from our purposes and our conventions, we will be the more ready to admit that this kind of natural law does play a role in our moral thinking, in the way we evaluate situations arid agents. This picture of natural law is more realistic and more persuasive precisely because it accounts for the obscurities associated with moral judgments. It would also be obvious, furthermore, that we are obliged by the ends that come to light in this way. The very fact that they arise formally in contrast with our purposes shows that our purposes have to be adjusted in view of them; that is what an obligation means. The ends become manifest as what we should respect. Only ends can make us accountable; our purposes have nothing obligatory about them. Ends are not just an aesthetic 15 Writers trained as lawyers may be more prone to understand natural law as such a system of imperatives or values. HUMAN PURPOSESAND NATURAL ENDS 523 alternative to our purposes but a "law" in the nature of things. If we are dealing with the thing in question (with medicine and health, with nourishment or sexuality, with goods that we have to share with other people), we dare not let our desires and purposes be the only measure. The thing we are dealing with makes its own demands on us, and it would be unworthy of us not to recognize the excellence that belongs to it. If we genuinely are agents of truth, we cannot let our wishes be the last word. There is a kind of ontological, cosmic justice in being in harmony with the way things are. This sense of obligation may not appear to the impulsive, the obtuse, the immature, and the vicious, but would we want to be the kind of agent that does not acknowledge it? An end should show up for us first and foremost as that which it would be unworthy of us to violate. This sense of the noble should be the primary and the core sense of moral "obligation." It is not that a law is imposed on us, that we are fettered by an imperative, but that we would be ashamed to act otherwise. Nobility obliges us in a way different from commands. The nobility of what is good by nature shows up most forcefully to the virtuous agent, who experiences it not as an imposed duty but as the way he wants to be. It shows up also to what Aristotle has described as the self-controlled person and to the weak person, the enkratic and the akratic agents, but they experience it more as an imperative and a command arising, to some extent, from "outside" themselves, because their passions are not in harmony with right reason. 16 But the paradigm, the case that provides the focus for orientation, is found in the way the virtuous agent encounters the noble: not as an imperative but as the way he would want to be. In dealing with eating and drinking, for example, a self-controlled or a weak person might find it burdensome to eat and drink moderately, but a temperate person would find it not a burden but the way things should be. It would not be a matter of natural "law" as much as a matter of natural decency. 16 Aristotle develops these important moral distinctions, between virtue, self-control, weakness, and vice, in NicomacheanEthics 7.1-10. 524 ROBERT SOKOLOWSKI The sense of obligation that ends bring with them is reinforced by the Christian doctrine of creation, and it is easier to think of the ends of things as being part of a natural law when we understand the world to exist through God's creative wisdom. We then discover not only a law in the nature of things but also a Lawgiver who is responsible for the way things are. This reinforcement of natural ends, however, also introduces a considerable danger. It may tempt us to think of ends as really being the purposes of the divine intelligence and will. This in turn might tempt us to delete or dilute the notion of ends in themselves; we might think that what look to us like natural ends are really, at their core, purposes and not ends, because they are willed by God, and hence the distinction between ends and purposes might be dissolved when we move into the final and ultimately true context. We might also tend to look to revelation for the more definitive communication of the true ends of things; we might, for example, think that the wrongness of certain practices is shown by their being condemned by the Law of Moses and by St. Paul, not by their showing up to human reason as incongruent with the ends of the things in question. Such an appeal to creation and revelation might make us more inclined to think of natural law as a codex rather than as an experienced obligation. It is true, of course, that revelation will often declare certain natural human practices to be good and others to be bad, but these things also have their natural visibility, and one can argue more persuasively about them if one brings out their intrinsic nobility or unworthiness, their intrinsic rightness or wrongness, as well as the confirmation they receive from revelation. Saint Thomas says that the natural law is promulgated by being written in the human heart. As he writes, "The law written in the hearts of men is the natural law [lex scripta in cordibus hominum est lex naturalis]." 17 Aquinas also quotes a passage from St. Augustine's Confessions, where Augustine also speaks about God's law as written in the hearts of men, and of course both authors harken back to St. Paul who, in his Letter to the Romans (2: 1417 STb 1-11, q. 94, a. 6, sed contra. HUMAN PURPOSESAND NATURAL ENDS 525 15), says, "For when the Gentiles who do not have the law observe the prescriptions of the law, they are a law for themselves even though they do not have the law. They show that the demands of the law are written in their hearts." We should understand the full meaning of the words used for the heart in such passages, cor and kardia. They do not connote the separation of heart and head that we take for granted in a world shaped by Descartes. We tend to think that the head or the brain is the seat of cognitive processes and the heart is the seat of emotion and feeling, but when Aquinas appeals to the heart, he is not saying that the natural law is somehow given to our feelings or impulses instead of our minds. Rather, he claims that we are able to acknowledge, rationally, what the good is. Premodern thought had not undergone the dissociation of sensibility and rational thinking. In Greek poetry the heart, the chest, and even the lungs were generally taken as the place where thinking occurred. 18 There is something wholesome in this ancient understanding; it is really the entire man, the person, who thinks and knows, not the brain. The carpenter thinks with his hands, the quarterback thinks with his legs and arms, and the speaker thinks with the lungs, mouth, and tongue. We do have to distinguish thinking from other human activities, but we should not take thinking to be only isolated cogitation, only sheer consciousness. Furthermore, Robert Spaemann claims that in the New Testament the word heart takes on an especially important meaning. 19 He says the heart is taken to be a deeper recipient of truth than the mind or intellect in Greek philosophy; it deals with our willingness to accept the truth. It is an expression of our veracity, our openness to the truth of things. Spaemann says that the concept of "heart" in the New Testament "means something See the classic study of Richard Broxton Onians, The Origins of Euro-pean Thought about the Body, the Mind, the Soul, the World, Time, and Fate: New Interpretations of Greek, Roman and Kindred Evidence, also of Some Basic Jewish and Christian Beliefs, 2d ed. (Cambridge: Cambridge University Press, 1954), chap. 2, "The Organs of Consciousness." 19 Robert Spaemann, Personen: Versuche uber den Unterschied zwischen "Etwas" und '1emand" (Stuttgart: Klett-Cotta, 1996), 29-30. 18 526 ROBERT SOKOLOWSKI like the discovery of the person. "20 Still more specifically, in the New Testament it is related to people's willingness to hear and accept the Word of God in Christ. I would suggest that when Aquinas says that the natural law is written in the hearts of men, he is referring to the capacity for truth that we described when we said that the natural ends of things must be distinguished from our own purposes and from convention. This elementary differentiation, this recognition that my purposes are not all there is, and that the way we do things is not all there is, is a way of being truthful that is achieved by the heart, which if it is sound can cut through the impediments of being impulsive, obtuse, immature, and vicious. I hope that my study can serve as a phenomenological complement to Aquinas's ontological analysis, in which he distinguishes between the various kinds of law and shows that natural law is a participation in eternal law. My descriptions have tried to shed light on how natural law is "promulgated" in human experience. 21 20 Ibid., 30. 21 Aquinas's treatise on law is found in STh I-II, qq. 90-108. I have tried to show how the ends of things come to light. My analysis does not claim that we intuit ends; they are disclosed through a distinction, which is more rationally articulated than an intuition. We do not have something simply present by itself to the mind; rather, we have something presented over against something else, and one can discuss such a presentation in a way that one could not argue about an intuition. A distinction, however, is not the conclusion of a syllogism. It can be argued about and clarified, but it cannot be proved. Any attempt to prove a distinction begs the question. But making a distinction is not the only rational procedure associated with ends. It is also possible to confirm something as naturally good. This is done by showing that the opponent really cannot deny that the thing in question is good; he has to affirm it either in his actions or in other things that he admits to be true, or at least in the way he presents himself and tries to justify his actions in public. This procedure "proves" by refutation, and it is analogous to the way Aristotle argues against those who deny the principle of noncontradiction and other fundamental principles in logic and metaphysics (Metaphysics 4.3-8). The argument by refutation is very important in philosophy generally and in ethics in particular; it is tied to the making of distinctions and to the principle of noncontradiction, that is, to the establishment of a rational speaker. It does not, however, bring out the first and original manifestation of moral goods. HUMAN PURPOSESAND NATURAL ENDS 527 VI. PHILOSOPHICAL AND THEOLOGICAL ANfHROPOLOGY I would now like to pull together some conclusions concerning the relationship between ethics and philosophical and theological anthropology. Our understanding of ourselves as human beings is related to our understanding of the good and virtuous human life. This end or telos of human being is disclosed by virtuous action, by human beings existing and acting well as human beings. The primary manifestation of such being and acting is carried out by good agents. It is revealed by reason, but by the practical reason of good agents, who show what is possible, not primarily by the theoretical reason of philosophers, theologians, or scientists. Once the good life is manifested in action, philosophy can clarify and consolidate what has been accomplished. It can distinguish the various human lives, the various ways in which people seek happiness, and it can bring out which of these is intrinsically better than the others. 22 For example, one of the forms of happiness that decent people seek is that of honor, of being recognized by others as being good. People are motivated to good actions by the promise of being honored for what they have done. But, as Aristotle points out, honor cannot be the final telos, because it is dependent in two ways: first, it depends on other people, on those who bestow it; and, second, it depends on that for which we are being honored (we want to be honored because we are good, and so the goodness is more excellent than the honor). 23 The "logic" of honor implies dependency; it is at best penultimate. This philosophical clarification points us beyond honor to virtue, and even virtue is not ultimate, because it is only a disposition; it has to be exercised in order to make us truly excellent and happy. This little philosophical critique is an example of what philosophy can do, but it presupposes that there have been good agents and that people have sought happiness. Practical reason has already been at work; honor and virtue have already come into 22 Philosophy also introduces its own perfection, but it is theoretic and not practical. 23 Aristotle, Nicomachean Ethics 1.5. 528 ROBERT SOKOLOWSKI play. Philosophy does not install the search for or even the achievement of the ethical life. Philosophy can show the intricacies of human action and choice, the relations among the virtues of courage and temperance, and justice and friendship, and other dimensions of the moral life, but it always assumes that these things have been achieved by practical reasoning, which is where human excellence and human failure first come to light, where we first come to see what it is to be human. These achievements are then capsulated, polished, and trimmed in moral traditions, in poetry and narratives, in exemplars, maxims, and customs, where practical and theoretic reason join forces with literary skill to present a picture of how we can be. We measure our lives and actions, we understand ourselves and our human situations, in the light and the frame of such paradigms, and occasionally we may need to distinguish between the way things are and the way they are said to be. Christians believe that God has revealed a deeper sense of goodness and virtue (as well as a deeper sense of evil and vice). Faith, hope, and charity, as gifts of God, dispose us to act in a new context, in which we are elevated into God's own life, through the redemptive actions of the incarnate Son of God. In this domain, we do have a kind of "theoretical" priority of knowledge over practical reason; we have to accept certain truths about ourselves before we know we are able and obliged to act in certain ways. However, this new dimension does not override the evidences of natural practical reason. What seemed noble and decent in the natural order remains so, and it is confirmed in its goodness by being involved in this new context of grace. In fact, grace intensifies the appeal of natural virtue, which now shows up as not only as admirable, but also as a reflection of divine goodness. Grace heals and elevates nature. For example, the nobility of human friendship, which is a kind of pinnacle of natural human virtue, is enhanced by becoming involved in charity, which is the friendship that God extends to human HUMAN PURPOSES AND NATIJRAL ENDS 529 beings. 24 As another example, the excellence of human marriage is enhanced and its meaning deepened when it is understood not only in the natural order, where it has two ends, the procreation and upbringing of children and the mutual devotion of the spouses, but when it is understood theologically to signify the relation between Christ and the Church. 25 From its earliest times, Christianity differentiated itself from its surrounding world by its attitudes toward abortion, infanticide, and matrimonial fidelity. It worked toward the elimination of slavery and gladiatorial combat, it tried to limit warfare, and it changed the meaning of wealth; as Evelyn Waugh has Lady Marchmain say in Brideshead Revisited, "Wealth in pagan Rome was necessarily something cruel; it's not any more. " 26 In all such instances, what Christianity offers is not a set of new, unheard-of precepts, but a deepening of what is already appreciated as good. The natural visibility remains. Grace elevates and also heals wounded nature, revelation expands and clarifies human reason. I would suggest that one of the strongest arguments in Christian apologetics is the fact that faith refurbishes what is naturally good. Such clarification of goods is not only a moral theology but also a theological anthropology, because it shows more clearly what human beings are and what they can and should be-that is, what their ends truly are. 24 On friendship as the highest moral virtue, see my essays, "Phenomenology of Friendship," and "Friendship and Moral Action in Aristotle," Journal of Value Inquiry 35 (2001): 355-69. 25 St. Thomas Aquinas discusses bigamy and polygamy in IV Sent., d. 33, a. 1; see also STh III (suppl.), q. 65, a. 1. He lists three ends of marriage: procreation and education of children, mutual devotion, and expression of the relation between Christ and the Church. He says that a multiplicity of wives would neither necessarily destroy nor impede the first end, it would not destroy the second but it would seriously impede it, and it would totally destroy the third. 26 Evelyn Waugh, BridesheadRevisited (Boston: Little, Brown and Company, 1979), 127. The Thomist 68 (2004): 531-43 SCIENTIFIC REPORTING, IMAGINATION, AND NEO-ARISTOTELIAN REALISM MICHAEL W. TKACZ Gonzaga University Spokane, Washington I N 1258, ALBERTTHE GREAT presided over a formal disputation at the Dominican studium in Cologne devoted to questions arising out of Aristotle's De animalibus. Preserved for us in the reportatio of friar Conrad of Austria, these quaestiones treat a series of zoological problems arranged in the order of Aristotle's books. 1 In the nine questions corresponding to book 1 of the De partibus animalium, Albert departs from his strictly zoological observations to consider the proper method to be used by the zoological investigator in his research. The first of these methodological questions is whether scientific research is a twofold process of reporting and explanation. 2 In the course of defending an affirmative answer to this question, Albert makes it clear that the ultimate explanatory goal of scientific research presupposes a "narrative" or descriptive phase of investigation. Without scientific description or reporting, there is nothing to 1 Quaestiones super De animalibus in AlbeTti Magni Opera Omnia (Miinster im Westphalia: Aschendorff, 1955)( = ed. Colon) 12:281-309. This text should not be confused with Albert's longer paraphrastic commentary on the De animalibus edited by Hermann Stadler and published in Beitriigezur Geschichteder Philosophiedes Mittelalters(Miinster im Westphalia: Aschendorff, 1916 and 1920)(= ed. Stadler), Bd. 15-16. On the date and order of these works, see James A. Weisheipl, "Albert's Works on the Natural Sciences (libri naturales) in Probable Chronological Order," in Albertus Magnus and the Sciences: Commemorative Essays 1980, ed. James A. Weis_heipl (Toronto: Pontifical Institute for Mediaeval Studies, 1'980), 572 [no. 11] and 572-74 [no. 13]. 2 Quaestiones super De animalibus XI, q. 1 (ed. Colon., 12:218.11-62). Albert uses the terms narratioand causarumassignatio:"•.• utrum in scientia sit modus processivus duplex: narrativus et causarum assignativus" (ed. Colon., 12:218.14-16). 531 532 MICHAEL W. TKACZ explain, for there is nothing begging to be understood in terms of its causes.3 Albert's remarks draw attention to a crucial issue in the Aristotelian understanding of scientific method: the relationship of scientific reporting and explanation. Explanation, of course, is always in terms of demonstration of the cause, especially propter quid demonstration. Demonstration, however, is the ultimate goal of the scientific endeavor and as such must be the satisfaction of something, a response to a need. This is why Aristotelians understand scientific research as a problem-solving activity and maintain that before one can begin to solve the problem, one must know what the problem is and possess a clear articulation of it as a problem calling for solution. Scientific reports provide such an articulation through their description of the subject under study; without them, one cannot even begin the attempt at explanation. There is, however, more to scientific reporting than this. If such descriptive reports are to be the first step in an explanatory process leading to causal demonstration, then they must treat their subject matter in ways that suggest probable causal explanations. This means that the function of such reports cannot be limited to the setting of puzzles or the raising of questions. They must also, through their dialectical form as measurement, quantitative description, taxonomy, field-studies, systematic observation, or controlled experimentation, bring to light the likely explanatory candidates that can solve the puzzle or answer the question. This is why medieval naturalists, such as Albert, held that the predemonstrative phase of scientific research is so important. It provides the necessary link between the initial encounter of the investigator with the subject matter and his eventual grasp of its cause in demonstration. 4 1 Quaestiones super De animalibus XI. q. 1 (eel Colon., 12:218.45-50): "Et ideo Philosophus, tanquam sapientissimus et expertissimus in scientiis, in scientia ista procedit primo narrando et secundo narratorum causas inquirendo et assignando, ostendens, quod nos similiter debemus facere, vel annuens." 4 See Quaestiones superDe animalibus XI, q. 2 (ed. Colon., 12:219.11-25) where Albert argues that, while scientific knowledge results from the demonstration of the cause, description is also necessary as it provides the supposition of the effect to be known as caused. Albert provides a fuller treatment in his De animalibus libri XXVI, XI, c. 2 (ed. Stadler, SCIENTIFIC REPORTING 533 How do measurement data, taxonomic descriptions, observational reports, and other types of scientific reporting suggest answers to the questions they themselves raise? What, precisely, links the report of phenomena requiring explanation to the causal demonstration in a manner that leads the researcher to the explanatory cause? Recent work by Neo-Aristotelian philosophers of science has focused on modeling as the means by which this link is made. 5 Especially important in these treatments has been the role of the imagination in the production of iconic models of the reported phenomena that dialectically indicate how they are to be understood. This has, perhaps, been most clearly instanced by episodes in the history of science involving inferences to unobservable entities. Jude Dougherty, for example, used the Meitner-Frisch liquid-drop model of the atomic nucleus to illustrate Aristotle's account of rational imagination. 6 The focus of these Neo-Aristotelian studies has been on the structure or formation of the model itself. The present study will, instead, focus on the structure of scientific reports and will explore some of the ways in which it might suggest explanatory models. In particular, the present investigation will have two parts, both having to do with the reporting phase of research. First, I will study the manner in which the problem is stated so as to invite explanation as a solution. Important here will be the way in which scientific reporting functions as a method of selecting relevant phenomena. Second, I will study the manner in which the data being reported suggest iconic representation of the phenomena. Important in this regard is the way in which the researcher's attention is directed to nonaccidental features of the subject under study. As will become apparent, these two functions of reporting are closely related and tend to appear together in 15:764-70). 5 The best recent Thomistic/Neo-Aristotelian study is William A. Wallace, The Modeling of Nature: Philosoplry of Science and Philosoplry of Nature in Synthesis (Washington, D.C.: The Catholic University of America Press, 1996). See also the review article on this book by Benedict M. Ashley and Eric A. Reitan, The Thomist 61 (1997): 625-40. 6 Jude P. Dougherty, "Abstraction and Imagination in Human Understanding," in Nature and Scientific Method, ed. Daniel O. Dahlstrom (Washington, D.C.: The Catholic University of America Press, 1991), 51-62. 534 MICHAEL W. TKACZ research practice. The modeling of theoretical entities which cannot be directly observed provides an especially provocative example of the power of scientific models and allows both functions of scientific reporting to be studied. Therefore, the Meitner-Frisch model of atomic fission will be used as illustration. Unlike Dougherty's earlier study which concerned the formulation of the model itself, however, attention will here be concentrated on the reports of barium formation from uranium in the HahnStrassmann experiments which preceded the work of Meitner and Frisch. The present study, then, seeks to complement earlier NeoAristotelian work on modeling with attention to the antecedent conditions for model construction. I. NEO-ARISTOTELIAN ANALYSIS OF THE DISCOVERY OF NUCLEAR FISSION In the early autumn of 1939, Niels Bohr and John Wheeler published the first quantitative analysis of the process of nuclear fission.7 In the introduction of their paper, they provided a brief history of the research that made possible their account of the mechanism of nuclear disintegration. This history begins with the discovery of the neutron in 1932 and the subsequent determination by Enrico Fermi and his Roman collaborators that neutrons can be captured by heavy nuclei to form new radioactive isotopes. In the case of uranium, the heaviest natural element, this led to the production of nuclei of higher mass and charge number than previously known. Following up on these discoveries, German researchers Otto Hahn and Fritz Strassmann found that neutron bombardment of uranium isotopes resulted, surprisingly, in the production of elements of much smaller atomic weight and charge, most notably barium. The theoretical account of these striking experimental results was provided by Lise Meitner and Otto Frisch using the liquid-drop model of the nucleus. The splitting of the uranium nucleus is described on the analogy of the 7 Niels Bohr and John Wheeler, "The Mechanism of Nuclear Fission," PhysicalReview 56 (1939): 426-50. SCIENTIFIC REPORTING 535 division of a spherical fluid drop into two smaller droplets because of a deformation caused by an external disturbance. The deformation is resisted by strong nuclear forces that are analogous to surface tension in liquids. The mutual repulsion of electrical charges in the heavy nucleus, however, diminishes the nuclear binding forces, making the nucleus unstable enough that a relatively small amount of energy is required to produce the critical deformation that results in division. At the same time, the nuclear division sets free a large amount of energy, calculated by Meitner to be as much as 200 MeV. These calculations were experimentally confirmed by Frisch and others. 8 This break-up of the unstable heavy nucleus into intermediate elements was given the name "fission" by Frisch. Clearly, at the heart of the discovery is the application of the liquid-drop model. 9 It was on the basis of this model that Bohr and Wheeler were able to give a more or less complete account of the mechanism of fission, tying together the theoretical account of Meitner and Frisch with its subsequent experimental verification. Building on Bohr's earlier theoretical work on the compound nature of the nucleus,1° Meitner and Frisch used the analogy with liquids as a way of making theoretical sense of the results of the HahnStrassmann experiments. Moreover, their application of the model provided both predictive calculations and a basis for the theoretical description of the mechanism of fission later given by Bohr and Wheeler. 11 Jude Dougherty provides a Neo-Aristotelian analysis of this moment in the history of physics by focusing on the intellectually 1 As reported by Bohr and Wheeler, "The Mechanism of Nuclear Fission," 426 n. 3. A summary of the experimental history of fission was later given by Orto Frisch and John Wheeler, "The Discovery of Fission," PbysicsToday 20 (1967): 43-52. 9 The term appears in the publication of the liquid-drop theory of Meitner and Frisch in "Disintegration of Uranium by Neutrons: A New Type of Nuclear Reaction," Nature 143 (1939): 239-40, but it was first suggested by Frisch in a letter to Bohr in January 1939; see Roger H. Stuewer, "Niels Bohr and Nuclear Physics," in Niels Bohr: A Centenary Volume, ed. A. P. French and P. J. Kennedy (Cambridge: Harvard University Press, 1985), 197-220, esp. 214-15. 10 See below, note 16. 11 On the origins of the liquid-drop model see Stuewer, "Niels Bohr and Nuclear Physics," 208-10. MICHAEL W. TKACZ 536 productive aspects of the Meitner-Frisch model. 12 He notes that Meitner and Frisch were clearly searching for the causal explanation of phenomena that begged to be understood-namely, the surprising results of the Hahn-Strassmann experiments. That these results were surprising there can be no doubt, for not only did noone at the time suspect that the atomic nucleus could be divided, but Meitner herself continued to expect for some time that the mysterious substance produced by Hahn and Strassmann was a "transuranic" element. 13 The curiosity of researchers was not satisfied with experimental confirmation, which Hahn and Strassmann quickly provided, but prompted the search for a cause. Thus, Dougherty also notes the implicit realism of researchers: no-one doubted that there was some unknown mechanism behind the production of barium that required articulation in some intelligible form. Finally, Dougherty notes that this articulation understandably took the form of an analogy, an imaginatively pictured source which would be rich enough in its imagery sufficiently and accurately to articulate the causal factors responsible for the known effects. The reason for the imaginative form of the causal articulation is the truth of the Aristotelian dictum that, in learning, the knower proceeds from what is most familiar, but least known through the precise articulation of its causes, to what is best known through its precise causes, but least familiar. 14 The behavior of liquid drops is quite familiar through sense perception. Moreover, careful observation by more or less direct sensation provides the basis for accurate measurement of the various accidents of fluid drops: relative spherical stability, surface tension, surface disturbances tending to overcome spherical stability resulting in elongation, division into smaller relatively spherically stable masses, etc. The mathematical description of the "Abstraction and Imagination," 54-56. u Ruth Moore, Niels Bohr: The Man, His Science, and the World They Changed (New York: Alfred A. Knopf, 1966), 220-23. On the origins of the trans-uranium theory and its later abandonment see Ruth Lewin Sime, Lise Meitner: A Life in Physics (Berkeley: University of California Press, 1996), 161-83 and 231-58. 14 Aristotle, Physics 1.1.184a17-21; Dougherty, "Abstraction and Imagination," 54-55. 12 Dougherty, SCIENTIFIC REPORTING 537 experimental results is thus tied to physical causes through the known details of the familiar case serving as an iconic model for the unfamiliar and surprising phenomenon requiring causal explanation. Aristotle's notion that thinking resembles perceiving underlies this explanative function of iconic models in scientific research. 15 Intellectual capacity is a capacity to think and to judge. Thinking involves imagination consequent upon sensation and, therefore, images always accompany judgments. Unlike sensations, however, images can be either true or false and are within our power to refine and adjust. Given earlier research, 16 the nucleus was imagined as a composite with a delimiting surface providing relative stability. This suggested the liquid-drop image to Meitner and Frisch, who refined and interpreted the image according to the experimental results of Hahn and Strassmann. Moreover, given that images can be taken either in their own right or as likenesses of something else, the liquid-drop model possesses both its own imagined properties and properties associated with the reality being explained. Thus, the spherical stability of the drop is seen in the image as consequent upon its surface tension. When forces overcome this tension, the instability introduced results in the eventual division into two spheres of relative stability. Considered as a likeness of the nucleus, the liquid drop models the strong binding forces of the nucleus in a way analogous to the surface tension of the drop. These forces are overcome by the disturbances introduced by neutron bombardment, resulting in a fission (analogous to the division of the drop) and a large release of energy accompanying transformation into relatively stable lower elements. Each element of the model considered in this way has specific quantitative value. Linking these values to experimentally discovered measurements gives the iconic model its explanative potentiality through its ability to exemplify the 15 Aristotle, De anima 3.3.427a20-22; Dougherty, "Abstraction and Imagination," 56-60. 16 Notably Bohr's work on the composite nature of the nucleus and his suggestion of its elasticity; see Niels Bohr, "TransmutationsofAtomicNuclei," Stuewer, "Niels Bohr and Nuclear Physics," 205-10. Science86 (1937): 161-65; and 538 MICHAEL W. TKACZ form of what is being explained. As Aristotle would put it: "the mind thinks the forms in the images." 17 Imbedded in the model is the expression of the nature underlying the particular phenomena through which the model is matched to reality in experimental observation. Uranium is known to be a relatively stable element. At least one of its rare isotopes (U235 ), exhibits a higher excitation energy and lower stability than that of the more abundant uranium isotope, resulting in an instability such that a comparatively small amount of energy will be required for fission, resulting in the loss of one-fifth the mass of the proton. Calculating from the lost one-fifth mass supplies the 200 Me V energy set free by fission. Thus, the model provides the basis of an abstraction to the nature of the nucleus and the forces and modes accounting for its stability and instability. The intellect is thus focused on the common features of mass-energy conversion, atomic number, chemical behavior, and so on, and it is in terms of these that the process of fission is defined and understood. The judgment that fission has taken place is a noetic intuition that apprehends these commonalities and their role in the process under consideration as set out in the iconic model. Through this model, then, the nature of lighter-element production is demonstrated to be a nuclear fission. II. SCIENTIFIC REPORTING AS RELEVANT PHENOMENA SELECTION When artificial radioactivity was discovered by Irene Curie and Frederic Joliot in 1934, the existence of unstable nuclei had been known for some time. Nobody, however, had considered that such instability might be due to nuclear disintegration. 18 Nonetheless, this discovery encouraged new research on radioactivity including Fermi's work in Rome involving neutrons. It was not long before the Roman team reported that neutron bombardment of uranium produced some new radioactivity that Aristotle, De anima 3.7.431b2. R. Frisch, "The Discovery of Fission: How It All Began," Physics Today 20 (November 1967): 43-48, esp. 45-46. 17 18 Otto SCIENTIFIC REPORTING 539 they identified as being due to transuranic elements-that is, elements beyond uranium (no. 92). As no such heavy element was known to exist in nature, some researchers suggested that the new substances were not elements number 93 or 94, but isotopes of some known heavy element such as protactinium (no. 91). As a consequence, Lise Meitner and Otto Hahn initiated a series of experiments in Berlin to determine the question. They were able to confirm that Fermi's new element was not protactinium, nor was it an isotope of either thorium (no. 90) or actinium (no. 89). This seem to confirm Fermi's characterization of the substance as transuranic. 19 These results were already beginning to indicate that the real problem concerned the structure of the nucleus as, in some way, nonrigid. Chemist Ida Noddack suggested that the new substance should not be called "transuranic" until its identity with any other elements had been ruled out. As this suggestion implied the possibility of a fissioning of a heavy nucleus into lighter nuclei, it verged on the requisite focus on nuclear structure as the relevant issue. At that time, however, both theory and experiment did not encourage such an idea and Noddack's suggestion did not receive much attention. 20 Thus, the scientific reporting at this stage of the research did not yet articulate the experimental results in a way allowing a clear selection of the relevant phenomena. 21 After Meitner's exile to Sweden on account of the Nazi annexation of Austria, her research was carried on in Berlin by Otto Hahn and Fritz Strassmann. In their studies of the new transuranic elements, they precipitated a new element produced by the Joliot-Curies and found some radioactive residue remained in their test tubes. Attempting to find out what this radioactive substance might be, they precipitated it again using some barium as a carrier. They were surprised to find that the radioactive 19 Moore, Niels Bohr, 220-21. On the Meitner-Hahn "eka" chains of radioactive elements identified in this research, see Sime, Lise Meitner, 161-83. 20 Moore, Niels Bohr, 221; see also Otto R. Frisch, "Llse Meimer," in Dictionary of ScientificBiography(New York: Scribners, 1980), 9:262a. 21 An indication of how close the research came at this point is provided by Frisch, "The Discovery of Fission," 46-47. 540 MICHAEL W. TKACZ materials precipitated with the barium. Checking to be certain that no impurities had contaminated the barium distorting the results, they were forced to conclude that the radioactive precipitates must be either barium (no. 56) or the related element radium (no. 88). Further testing showed that there was in fact no isotope of radium and that the residual substance must indeed be barium. 22 This result was astounding, for barium could only be produced from uranium if the heavy nucleus somehow split. Hahn and Strassmann published their surprising results 23 and now the problem calling for solution was dearly delineated. Through their careful rechecking of their work, Hahn and Strassmann were able to select from among the various characterizations of the phenomena that which was most relevant to the problem of the so-called transuranics, namely, the production of a lighter element. This, in turn, indicated that the problem was not the existence and properties of the transuranics, but the stability of the uranium nucleus itself. Initially characterizing the new Fermi element as "transuranic" is an example of a universal ut nunc, a theoretical characterization of the phenomena that approaches the truth but is thought to be in need of much greater refinement or even replacement before actual explanation is obtained. It is, as some Neo-Aristotelians put it, 24 a kind of verisimilitude that allows research to continue in a certain direction, but with the provision that it may require substantial revision before it can function as an adequate model of the subject under study. This, in turn, allows the researcher to turn his focus here or there as the data become progressively better known and, in the end, reveal the relevant phenomena requiring explanation through an iconic modeling process. 22 Moore, Niels Bohr, 223-25. 23 Otto Hahn and Fritz Sttassmann, "Uber den Nachweis und das Verhalten der bei der Bestrahlung des Urans mittels Neutronen entstehenden Erdalkalimetalle," Die Naturwissenschaften 27 (1939): 11-15. For the correspondence between Hahn and Meitner on these experiments, see Sime, Lise Meitner, 231-58, esp.233ff. 24 John A. Oesterle, "The Significanceof the Universal Ut Nunc," The Thomist 24 (1961 ): 163-74. SCIENTIFIC REPORTING 541 III. SCIENTIFIC REPORTING AS ACCIDENT DIFFERENTIATION As the search for the transuranic elements increasingly focused attention on the structure of the nucleus, researchers were able to differentiate the various accidental characteristics of nuclear structure or function. Before a subject can be iconically modeled, there must be a sufficiently clear distinction between its essential or proper accidents and its merely incidental accidents. 25 In the case of the discovery of fission, the crucial insight into the nature of nuclear stability involved the use of the liquid-drop image as a model for a proper accident of nuclei. In the wake of Fermi's neutron experiments, Bohr had proposed his compound model of the nucleus. 26 This, in turn, suggested the question of the nature of nuclear stability. Before the Hahn-Strassmann experiments, only fragments of nuclei had been chipped away from heavy elements, but it was thought impossible that a large amount of the nucleus could be split off at · one time due to insufficient energy. A nucleus was not something brittle or solid that could be cleaved or broken. Bohr had, in fact, urged a conception of the nucleus as elastic and later, following Gamow, a liquid-drop conception. 27 The Hahn-Strassmann results, then, drew the attention of theoreticians to the liquiddrop model as that most likely able to account for fission into lighter elements. Moreover, it was clear that the model would provide the essential properties of nuclear structure with respect to the relationship of nuclear forces accounting for stability, not simply an incidental feature of neutron absorption or radiation production. Princeton physicist John A Wheeler has noted 28 that what led researchers to the idea of nuclear fission was not simply 25 Wallace, The Modeling of Nature, 27-28. z;; See above, note 16. Niels Bohr and Fritz Kalckar, "On the Transmutation of Atomic Nuclei by Impact of Material Particles, I: General Theoretical Remarks," Matematisk-Fysiske Meddelelserdet KongeligeDanskeVidenskabernesSelskab14 (193 7): 1-40; see also the discussion by Stuewer, , "Niels Bohr and Nuclear Physics," 208-10. 28 John A. Wheeler, "The Mechanism ofFission," PhysicsToday 20(November1967): 4952. . 27 542 MICHAEL W. TKACZ knowledge of the compound-nucleus and liquid-drop models, but their distinction. It was the insight that the liquid-drop model is a special case of the compound-nucleus model or, as he put it, "a particular way of making [the compound] model of nuclear structure reasonable." This is because the compound-nucleus model accounts for particle arrival in the nucleus, but the liquiddrop model accounts for nuclear excitation. This becomes dear when one recalls that tl;ie__c01cial insight of Meitner and Frisch was that the uranium nucleus was a "wobbly uncertain drop, ready to divide itself at the slightest provocation, such as the impact of a neutron. "29 It was this that accounted for the relatively little energy required to release the tremendous amount of energy their calculations predicted. This modeled structural instability, then, was the proper accident needed to make sense of the HahnStrassmann results. Moreover, it was the reports of the HahnStrassmann experiments that focused the attention of Meitner and Frisch on the instability of the nucleus and away from other accidents such as neutron absorption, radiation emission, formation of isotopes, and so on. CONCLUSION The work of the imagination in constructing iconic models of little-known physical phenomena and its connection to abstraction is crucial in scientific explanation. Behind such construction, however, lie the reports of researchers who provide the material on which the imagination works. In these predemonstrative reports, the material is not simply presented to the intellect as a puzzle to be solved, but presented as already intellectually sorted out-processed, one might say. This "sorting out" or "processing" takes at least two forms. First, the puzzle is presented with an indication as to which data are relevant to the puzzle's solution. Some sorting through of the data is accomplished in the process of posing the question or discovering the puzzling phenomena. Often such sorting is explicitly taxonomic, as in certain kinds of 29 Quoted in Dougherty, "Abstraction and Imagination," 53. SCIENTIFIC REPORTING 543 biological research, but sometimes it is more closely related to the experimental study of some little-known phenomenon, as in the case of nuclear fission. It is always, however, a selection of the relevant from the irrelevant in a way that suggests lines for further research or theoretical explanation. Second, the puzzle is presented to the intellect with a certain focus on what is essential, and not merely incidental, to the solution demanded by the relevant phenomena. Without such focus, the rational imagination cannot begin the process of iconic imaging, for it has no picture with which to start and no indication as to how the image is to be developed in detail. Whether generated by careful observation or by controlled experiment, scientific reporting always involves the differentiation of accidents allowing researchers to focus on those from which an image with explanatory potential can be formed. A final point concerning scientific realism. Dougherty notes the implicit realism of the researchers involved in the discovery of nuclear fission. Clearly, Meitner and Frisch did not doubt the existence of a mechanism behind the then truly puzzling experimental results. Hahn and Strassmann also understood that the surprising production of barium from uranium called for the articulation of a then unknown property of the nucleus. Scientific reports provide the link between the encounter of the researcher with the reality calling for explanation and the intellectual act of scientific explanation itself. There is indeed an implicit realism in the activity of scientific reporting, for it presumes the possibility of achieving an explanation not already evident in the phenomena being reported. This indicates the presence of a yet unknown underlying mechanism that can be articulated by means of a model. Reporting is clearly not done for its own sake, but is a stage of scientific inquiry that begs for completion in explanation. The Thomist 68 (2004): 545-75 GRACIA AND AQUINAS ON THE PRINCIPLE OF INDIVIDUATION ANDREW PAYNE St. Joseph's University Philadelphia,Pennsylvania I N RECENT YEARSJorge Gracia has developed a nuanced and sophisticated account of the nature of individuality and of the principle of individuation. He has developed this view in part by criticizing the standard Thomistic account of the principle of individuation as dimensive quantity. The present essay seeks to rehabilitate dimensive quantity by arguing against Gracia that, rightly understood, it does explain the individuation of material substances. This requires a two-part strategy. First, the meaning of dimensive quantity must be recovered by examining the roots of this concept in Aristotle's Categories and Physics. The standard Thomistic presentation of dimensive quantity in the writings of Joseph Owens and Joseph Bobik is vulnerable to objections raised by Gracia, and this makes necessary a review of selected passages from Aristotle dealing with quantity. In particular, the notion of position contained in these texts must be elaborated in order to grasp the distinctive content of the concept of dimensive quantity. Second, Gracia's objections to the Thomistic principle of individuation must be considered in light of this fuller understanding of dimensive quantity. It will be seen that these objections are not compelling, and that dimensive quantity provides a satisfactory principle of individuation for material substances. In particular, Aquinas's discussion of numerical difference in his commentary on Boethius's De Trinitate will be 545 546 ANDREW PAYNE defended. The upshot of these passages is that matter marked by quantity and position will occupy a determinate place, whereas two distinct material substances cannot occupy the same place simultaneously. As a result, matter modified by dimensive quantity is assigned to some determinate place and time, which suffices to individuate material substances. To limit the scope of this project, I will defend dimensive quantity only as a principle of individuation for bodies or material substances. In Scholastic usage, these are composite substances, those constituted by the union of form and matter. Gracia rejects dimensive quantity as a principle of individuation in part because it cannot serve as a universal principle of individuation-that is, one that could individuate nonmaterial substances such as angels, God, Cartesian souls, abstract entities, etc. 1 According to Gracia, it is the existence of each thing that is its principle of individuation. For now I wish to put to one side the question of whether we should look for a global principle of individuation, as Gracia does, or attempt instead to find different principles of individuation suited to different kinds of entities, although my strong preference is for the latter option. 2 I will focus instead on whether dimensive quantity provides a satisfactory principle of individuation for material substances. Furthermore, I will make no attempt to present the full teaching of Aquinas on dimensive quantity based on an historical survey of his writings. As commentators have noted, Aquinas seems to change his mind or at least express his mind differently over 1 See Jorge Gracia, Individuality: An :Essay on the Foundations of Metaphysics (Albany, N.Y.: State University of New York Press, 1988), 155. Other works in which Gracia develops his account of individuation are Suarez on Individuation, ed. Jorge Gracia (Milwaukee: Marquette University Press, 1982); "Individuals as Instances," Review of Metaphysics 37 (1983): 39-59; and "Introduction: The Problem of Individuation" in Individuation in Scholasticism: The Later Middle Ages and the Counter-Reformation (1150-1650) ed. Jorge Gracia (Albany, N.Y.: State University of New York Press, 1994), 1-20. 2 This approach is taken by Lawrence Dewan, who speaks of individuality in Aquinas's thought as a mode of being, where being is said in many ways. He sees in Aquinas a global approach to the individual but not a single global principle of individuation, in light of the fact that "in diverse levels of being there are diverse 'principles' of individuation" (Lawrence Dewan, 0. P., "The Individual as a Mode of Being According to Thomas Aquinas," The Thomist 63 [1999]: 424). THE PRINCIPLE OF INDMDUATION 547 the course of his career when writing about the principle of individuation. 3 I have focused on the E.xpositio super librum Boetii De Trinitate, not because it contains the whole of Aquinas's teaching on the principle of individuation, but because it is here that we can see a fruitful elaboration of ideas drawn from Aristotle's physics. This is what is needed to mount a philosophical defense of dimensive quantity as the principle of individuation. I. DIMENSIVE QUANTllY: THE TRADmONAL VIEW AND GRACIA'S OBJECTIONS Investigation of the principle of individuation was and continues to be one of the most fruitful sources of speculative insight. Clearly the world is full of individual things, but how are we to describe their individuality? What is the source of the distinctness of different individuals? It is well known that Aquinas's principle of individuation for composite substances is quantity of matter or signate matter. These terms signify the view that matter, when modified by the accidents of quantity and dimension-or dimensive quantity-serves to distinguish one particular composite of form and matter from another individual of the same species. With modifications, this view appears in a number of Aquinas's writings and has been accurately described by Joseph Bobik and, more recently, by Joseph Owens. However, it is not yet clear how the accident of dimensive quantity being received in matter actually serves to individuate the different members of one species of material substances. Partly for this reason, Gracia has rejected the view that dimensive quantity is the principle of individuation for material substances. To gain entry to this debate, we can start with the observation that all attempts to formulate a principle of individuality must 1 To gain a sense of the range of texts in which Aquinas discusses problems of individuation, see Joseph Owens, "Thomas Aquinas (b. ca 1225; d. 1274)" in Gracia, ed., Individuation in Scholasticism, 173-94. Aquinas's earlier writings, in particular his commentary on the Sentencesof Peter Lombard, are given careful attention in Joseph Owens, "Thomas Aquinas: Dimensive Quantity as Individuating Principle," Medieval Studies 50 (1988): 279-310. 548 ANDREW PAYNE bear a common explanatory burden. They must shed light on the principle of individuation and so explain the individuality of, for instance, different human beings. The principle of individuation will be that in virtue of which Peter is (1) indivisible or incommunicable in the technical sense of being noninstantiable, or not such that two or more things could share the property of being Peter; and (2) distinct from all other members of the species to which he belongs and indeed distinct from every other thing. The principle of individuation must give full grounds for (1) and (2), for the indivisibility and distinctness of Peter. If we need to posit more than the principle of individuation to explain Peter's indivisibility and distinctness, then we do not yet have an adequate principle of individuation. Aquinas describes the principle of individuation for composite substances variously in various texts, but always settles on matter modified by quantity. The standard presentation of this view comes in the commentary on Boethius's De Trinitate. There Aquinas speaks of matter as the source of the individuation of form, resulting in diverse individuals of the same species: Things in the genus of substance that differ numerically, differ not only in their accidents, but also by their form and matter. But if it is asked how this form differs from that, there is no other reason than that it Is in other signate matter. Nor can there be found another reason why this matter is divided from that, except on account of its quantity. Hence matter subject to dimension is understood to be the principle of this kind of diversity.4 This reply to an objection contains in compressed form the major ideas of Aquinas's description of the principle of individuation: signate or designated matter, the sort of material thing one can point at; the role of quantity in distinguishing signate matter, or dividing this matter from that; and a connection between quantity • Aquinas, Super Boet. de Trin., q. 4, a. 2, ad 4: "Ad quartum dicendum quod ilia, quae different nwnero in genere substantiae, non solum different accidentibus, sed etiam fonna et materia. Sed si quaeratur, quare differens est eorwn forma, non erit alia ratio, nisi quia est in alia materia signata. Nee invenitur alia ratio, quare haec materia sit divisa ab ilia, nisi propter quantitatem. Et ideo materia subjecta dimem;ioni intelligitur esse principium huius diversitatis" (Thomas Aquinas, Expositio superlibnun Boethii de Trinitate, ed. Bruno Decker [Leiden: Brill, 1965], 144-45). All translations from this text are by the author. THE PRINCIPLE OF INDMDUATION 549 and dimension. Neither form nor matter by itself is sufficient to explain individual composites of form and matter; the form is what is shared among the different individuals of the same species, while matter is shared by individuals of different species. Only when quantity enters the picture as modifying matter, and bringing with it dimension, do we have a sufficient explanation of the fact of numerical diversity. As Owens puts it, Matter seems to be visualized as a potentiality that gives rise to a threedimensional expanse yet lacks capacity just in itself to distinguish things in it one from another. It has first to be conceived as divided into parts or units sealed off each in itself by dimensive quantity. Each of them is thereby constituted an individual object in its own right. 5 So far, this is the traditional presentation of dimensive quantity as the principle of individuation in Aquinas. This provisional answer to the question of how different composite individuals of the same species are differentiated states that it is the parceling out of matter into quantities bearing dimensions that establishes composite individuals. One presentation of Aquinas's thought on the principle of individuation would call a halt to the search for the principle of individuation at this point, resting in matter designated by dimensive quantity. Joseph Bobik summarizes as follows the role of quantity in rendering matter distinct and, via distinction of matter, making substantial form individual: Thus, because prime matter is capacity for the accidental form of quantity, due to the fact that matter is divided in distinct parts and situated in different places, it is rendered capable of receiving within itself, being thus divided, these substantial forms, this form in this part, this other form in this other part .... ff a corporeal substance is in fact an individual, this is precisely because it partakes (due to its partaking in prime matter) in a condition the very nature of which is to render individual, or numerically distinct, that substance which is its subject. This condition is the quantity of a natural body. 6 5 0wens, "Dimensive Quantity," 280. 'Ainsi, parce que la matiere premiere est puissance pour la forme accidentelle de quantite, grace a laquelle cette matiere est divisee en parties distinctes et placee en des lieux divers, elle est rendue capable de recevoir en elle, etant ainsi divisee, tel/es formes substantielles, telle forme dans telle partie, telle autre forme dans telle autre partie •••• Si une substance corporelle est actuellement un individu, c'est precisement parce qu'elle participe (en raison de sa 550 ANDREW PAYNE This approach is helpful as far as it goes in laying out the relations between such concepts as matter, substantial form, and quantity. However, it does not go far enough. It remains obscure why and how quantity is able to render individual the matter in which it is received. Owens recognizes the need to address this issue: The whole individuation of a body, both in its substance and in all its other accidents, is made to depend upon quantity. But quantity, as an accident, has to presuppose for its existence the individual substance upon which it depends for its being. 7 And although he speaks convincingly of the need for material substances to exist in matter subject to dimensions, Owens does not show how this will secure for dimensive quantity, an accident, the role of individuating substances. 8 Having some particular dimension will be true of whatever exists as an individual material substance, but why is this fact given the special role of being responsible for the individuation of that material thing? This failure to clarify the role of dimensive quantity in individuating material substances has not gone unnoticed. It provides the basis for objections to the Thomistic understanding of the principle of individuation put forward by Suarez in the sixteenth century and more recently by Gracia. Suarez notes that dimensive quantity is typically construed as an accident, and so is capable of being present in more than one subject. To summarize very sketchily Suarez's intricate reasoning, he sets up a dilemma for the Thomistic view of individuation: either the accident of quantity is somehow localized to one individual, in which case its status as an accident prevents it from being the source of that thing's existence as an individual, or it is communicable to distinct individuals, in which case it cannot be the principle of individuation, which must explain why individuals exist as nonparticipation a la matiere premiere) a un acte dont la nature meme est de rendre individuee, ou numeriquement distincte, cette substance qui est son sujet. Cet·acte est la quantite corporelle naturelle Uoseph Bobik, "La doctrine de saint Thomas sur !'individuation des substances corporelles," Revue philosophiquede Louvain 51 [1953]: 18). 7 Owens, "Thomas Aquinas," 182. 8 Ibid., 185. THE PRINCIPLE OF INDIVIDUATION 551 communicable. 9 To the extent that a given dimensive quantity does inhere in some subject, that subject must be constituted as an individual apart from the accident of dimensive quantity, so that dimensive quantity no longer plays the crucial individuating role. Another way to see the force of this objection is to observe that dimensive quantity as so far described will not serve as an adequate principle of individuation. It meets condition (2) described above, in that it explains how an individual will be distinct from other members of the same species. Peter will have or be partially constituted by one parcel of matter, and Paul will be partially constituted by a different parcel of matter. But the notion of dimensive quantity does not so far meet condition (1); there is no way yet to rule out the possibility that two individuals share simultaneously the same dimensive quantity. A quantity is an answer to the question "How much?" or "How many?", so that "2 quarts" or "3 feet by 3 feet by 3 feet" are terms that refer to quantities. These quantities may be instantiated in distinct individuals: in 2 quarts of milk and in 2 quarts of coffee, or in a cube of wood 3 feet by 3 feet by 3 feet and in a cube of iron of the same dimensions, or in a second cube of wood of the same dimensions and quantity. In light of these considerations, dimensive quantity may be communicable; the same dimensive 9 A sampling of Suarez's argumentation in Metaphysical Disputation V, section 3, ch. 11 as he sets up and attacks each horn of the dilemma in turn: "First, assuming ... that quantity is not in prime matter but in the whole composite, and that it is destroyed when the substance is corrupted, and that it is newly acquired for the generation of substance. From which it is concluded that, absolutely speaking, numerically this substantial form is first introduced in this matter and [then] quantity follows. Whence the argument is completed, because this form, when it is understood to be received in this matter, is also understood to be received in a matter distinct from the other. Therefore, that [i. e. the substantial individual] as such is one, not with conceptual unity, but with real, singular and transcendental unity. Therefore, just as it is undivided in itself in virtue of its substantial entity, so also it is substantially and entitatively distinct from all others. Therefore, it does not have distinction through quantity • • • • Second, we can proceed to the other view, that quantity is in prime matter and remains the same in what is generated and corrupted. And then an argument no less effective is taken from another place, because not only this matter in itself, but also [matter] as affected by this quantity, can be under diverse forms and, consequently, in numerically distinct individuals. Therefore, [matter designated by quantity] can no more be the principle of individuation than matter alone [can]" (Gracia, ed., Suarez on Individuation, 81-83). ANDREW PAYNE 552 quantity may be instantiated by two individuals of the same species. As Gracia puts it, [this account] would also be hard pressed to explain the noninstantiability of quantity itself, which is supposed to account for individuation. For, what makes dimensions noninstantiable when we know that in fact they can and are often, separately or together, instantiated elsewhere?10 This passage provides the occasion for a more systematic presentation of Gracia's position and his reasons for rejecting dimensive quantity as the principle of individuation. He sees the need to gain a firmer purchase on the question of the principle of individuality by first addressing the nature of individuation and individuality. What is distinctive about individuals is that they are noninstantiable. Where other philosophers place in the foreground the facts that each individual is distinct from other individuals and that each individual in our experience is qualitatively unique in some way, Gracia focuses on a feature of individuals that is rooted deeper in the metaphysics of individuals and less able to be defeated by such possible worlds as a universe containing only one individual or a universe containing only two qualitatively indiscernible objects. Individuals are those entities which instantiate or exemplify universals but are not themselves instantiated and indeed cannot be instantiated. 11 He then takes the task of identifying the principle of individuation to be the task of identifying the necessary and sufficient conditions for a noninstantiable individual to exemplify a universal. In his words, "We shall be concerned with what an individual does and must have, that a universal does and must lack, such that the individual is noninstantiable while the universal is instantiable. " 12 On this construal, the principle of individuation will be some aspect or component of an individual that renders it particular and noninstantiable, one that makes it the opposite of a universal. From this perspective, Gracia raises a number of objections to dimensive quantity as the principle of individuation. He classifies 10 Gracia, Individuality, 11 Ibid., 45-46. 12 Ibid., 141. 155. THE PRINCIPLE OF INDMDUATION 553 the quantitative theory of individuation as one among other accidental theories, those that make some accident of an individual the principle of individuation. 13 All such accidental theories are subject to the objection that they use an extrinsic feature of a thing, an accident, to account for an intrinsic feature. According to Gracia, "[A] particular quantity [e.g., a person's weight at a given time] is something accidental to a thing, and therefore cannot account for one of its basic ontological characteristics," namely, its individuality. 14 Also, as already noted, Gracia argues that quantity cannot explain individuality in the sense of noninstantiability because quantity is a repeatable and instantiable feature. The quantities signified by such terms as "2 gallons" or "3 feet by 3 feet by 3 feet" can be shared by and exemplified by different individuals, so they cannot be the necessary and sufficient conditions for an individual's noninstantiability. II. ARISTOTLE ON QUANTITY AND PosmoN To answer Gracia's objections and to lay out the full resources of the notion of dimensive quantity, it is necessary to investigate the Aristotelian background of the category of quantity. Aristotle begins his discussion of quantity in chapter 6 of the Categoriesby announcing two different divisions within the category. The first is the division of quantity into those quantities which are continuous and those which are discrete. Aristotle gives as examples of continuous quantities lines, surfaces, and bodies, as well as time and place. These are all quantities that consist of parts in direct contact with one or more part of the same quantity. A line is a continuous quantity because it is made up of segments each of which is contiguous to another segment on the same line. Discrete quantities come with parts that are not in contact with any other part of the same quantity. Examples of discrete quantities are number and spoken speech. Each of these comes with parts that can stand apart from every other part, as syllables 13 Another accidental theory of individuation is the spatio-temporal theory, according to which individuation arises from a thing's location in space and time. 14 Gracia, Individual11y,155. 554 ANDREW PAYNE of spoken speech are distinct from each other and as the parts of a number lack a common boundary which both parts touch. 15 The second division of quantity is that between quantities having parts with position relative to each other and those having parts with no position relative to each other. A body which is a continuous quantity will have parts with position relative to each other: my body can be considered as made up of the parts at or below my waist and the parts above my waist. It is in the nature of these parts so considered that they will have a determinate spatial relation to each other. On the other hand, number will not have parts with position relative to each other. Five and five are parts of ten, but it is not in the nature of these parts that they have spatial relations to each other. Three and four are parts of seven, but the nature of three is not defined by its position in space relative to four. As these examples show, continuous quantities in general are those which consist of parts having position relative to each other, and discrete quantities are those whose parts do not have position relative to each other. The only exception to this coincidence of the two differentia of quantity is time. Time has parts (past, present, and future) of which the present touches both the past and the future, but since only one part of time exists, the present, it cannot be said to have position in relation to the other parts. 16 One important point resulting from the discussion of quantity in Categories 6 is that quantity involves more than simply measure. Previously we said that a quantity is the answer to the question "How much?", an answer that might take the form of "2 quarts" or "3 feet by 3 feet by 3 feet." Such answers give the measure or dimensions of a thing but tell us nothing about what the thing is made of or how its parts relate to each other. Indeed, quantity as measure could be applied to an empty expanse of space occupied by no matter at all, though such an empty expanse occurs in our experience only under abnormal circumstances. Although it is certainly legitimate to understand quantity in this 15 Aristotle, Categories4b2{}-5al 4. References to the Categoriesare to the Minio-Paluello edition from the Clarendon Press. 16 Aristotle, Categories5a15-37. · THE PRINCIPLE OF INDMDUATION 555 way, Aristotle's two divisions of quantity imply also a different way of understanding quantity: namely, not as measure, but as quantity of the thing measured. For this type of quantity, the dimensions measured are dimensions of matter, and that matter consists of parts standing in spatial relations to each other. In this second way of understanding quantity, 2 quarts of milk is a different thing from 2 quarts of coffee, even though the dimensions of each are the same. The fact that quantity can involve a thing being constituted by parts will become important when Gracia's objections to taking dimensive quantity as the principle of individuation are considered. Another important point that results from Categories6 is the mapping of bodies and their parts on to place. Place, again, is one of the continuous quantities. For the parts of a body occupy some place, and they join together at a common boundary. So the parts of the place occupied by the various parts of the body themselves join together at the same boundary at which the parts of the body do. 17 So each body, and each part of a body, is associated with a place, th-:mgh of course this may be only temporary as a body's place may change through motion. The same reasoning holds for lines and surfaces. Thus, all continuous quantities except for time will occupy some place. One concept Aristotle deploys in Categories 6 is that of position. Since this concept will play a crucial role in describing dimensive quantity, it will be helpful to offer a provisional outline of it as it emerges from the Categories.As one of the differentia of quantity, position is an attribute of one type of body, namely, continuous bodies. Position consists in the configuration or arrangement of the parts of these bodies relative to each other. So when Aquinas speaks of matter or quantity as having position, this should be understood as treating the body in question as made of parts having position relative to each other. This raises the 17 Aristotle, Categories5a8-10. Translations of the Categoriesare by J. L Ackrill, taken from The CompleteWorlis of Aristotle, ed. Jonathan Barnes (Princeton: Princeton University Press, 1984). 556 ANDREW PAYNE question of the relation between this technical sense of position and the ordinary sense of the word in everyday language. The term 'position' in English is synonymous or nearly so with 'place', but it is important to keep separate the concept indicated by Aristotle's word for position, thesis, and the concept indicated by his word for place, topos, and also to keep both separate from our concept of space. Position, as described so far, concerns the spatial relations of the parts of a body relative to each other and within the limits of that body. The place of a thing, on the other hand, is defined at Physics212a 6-7 by Aristotle as "the boundary of the containing body at which it is in contact with the contained body." Place is understood here as coinciding with the outside surface of a body, on the model of the container of that body. In addition, a place is always the place of a thing, that which occupies or fills it. As such it is different from our notion of space, the expanse or void within which physical objects move but which can conceivably be empty either momentarily or for any amount of time. Another aspect of position in the sense considered so far is the requirement that when parts of a body have position relative to each other, those parts are joined, directly or indirectly, to each other as parts of the same continuous body. Otherwise, the notion under consideration would not be the concept of the position of the parts of a body relative to each other but the concept of the position of the parts of a body relative to something outside the body. Unlike discrete quantities, the parts of which are not or need not be physically joined to each other, continuous quantities have parts each of which must be physically joined to at least one other part of the same body. When one part is joined to another part, the two not only touch each other but their respective limits unite or overlap to form another part of the whole body in question. Although each part of a continuous body need not touch every other particular part of that body and so need not be in direct contact with every other part of that body, each part of a continuous quantity will be joined to another part which is joined to another part, and so on, until each part of a continuous THE PRINCIPLEOF INDIVIDUATION 557 quantity is in direct or indirect contact with every other part of that quantity. 18 A third aspect of the notion of position may be mentioned, although it will not be pursued in any detail here. This is the idea that for the parts of a body to have position relative to each other, the parts must have some permanent duration, however limited, within the body they constitute. This suggestion comes from Albertus Magnus, who claims that position involves three individually necessary and jointly sufficient elements. Besides situation or spatial relation within a body and being joined to each other, for the parts of a body to have position "one part should remain constant with another part in the same continuous thing, so that it should hold together with the other part. " 19 Presumably Albert's reasoning is that for parts of a body to have position relative to each other they must remain together in existence as parts of that body at least for some minimal amount of time. This line of thought draws partly on the etymology of the terms for position, which connect position with things being put or set in some region (thesis in Aristotle's Greek, positio in Latin). If a part of a body existed as a part for only an instant or never remained in the same spatial relations to other parts of that body but constantly altered its position relative to other parts, it would be just as well to deny that that thing was even a part of that body. It could with better reason be called a body in its own right or a part of a different body and not a part of the original body. So for parts of a body to have position relative to each other, they must 18 Perhaps anachronistically, this account of what it is for the parts of a continuous quantity to have position relative to each other in the Categories is intended to reflect Aristotle's description of the relations of contiguity and continuity in the Physics. Continuity is one special case of contiguity. If two things are contiguous, then the limits of the two touch each other, but in the case of continuity the limits also form a unity and so constitute one thing; see Physics 227a6-17. 19 Albert speaks of the different aspects of position as follows: "Positionem autem habere tria concernit, scilicet ut assignetur ubi in continuo sita sit particula, et ut una pars permaneat stans in eodem continuo cum altera, et ut teneatur cum altera copulatione. Et quodcumque horum trium deficiat, non habebit in partibus positionem ...• Positio autem in continuo dicit permanentiam, quia positum est fixum immobile secundum esse., et ideo oportet ut dicat permanentiam" (Albertus Magnus, Commentariain PraedicamentaAristotelis,lib. 2, tract. 3, cap. 6, in ed. Vives [Paris, 1890], 81; translation by the author). 558 ANDREW PAYNE have some minimal permanence as parts bearing spatial relations to at least some other parts of that body. This third aspect of position is intriguing because it forges a link between the notion of position and the identity of material substances over time. Precisely for this reason it stands outside of the focus of the present paper, which is not the identity of material substances over time but their individuation. However, this third aspect of the concept of position allows us to understand why Aquinas thought that dimensive quantity, his principle of individuation, might also have served as a source for the identity of material substances over time. 20 Previously it was noted that position concerns the configuration or spatial orientation of the parts of a body relative to each other. Considered in this way, the position of the parts of a body may be distinguished from their place and from the various spatial relations they and the whole body they constitute bear to 20 One puzzling aspect of the discussion of dimensive quantity in the Expositio super librum Boethii de Trinitate is that Aquinas expects his principle of individuation to do double duty as the source of the identity of material substances over time. He says it is indeterminate and not determinate dimensions that are the principle of individuation, because the latter would not ensure that individuals remain the same in number over time: "Dimensiones autem istae possunt dupliciter considerari. Uno modo secundum earum terminationem; et dico eas terminari secundum determinatam mensuram et figuram, et sic ut entia perfecta collocantur in genere quantitatis. Et sic non possunt esse principium individuationis; quia cum talis terminatio dimensionwn varietur frequenter circa individuum, sequeretur quod individuum non remaneret semper idem numero. Alio modo possunt considerari sine ista determinatione in natura dimensionis tan tum, quarilvis numquam sine aliqua determinatione esse possint, sicut nee natura coloris sine determinatione albi et nigri; et sic collocantur in genere quantitatis ut imperfectum. Et ex his dimensionibus interminatis material efficitur haec materia signata, et sic individuat fonnam, et sic ex materia causatur diversitas secundwn numerum in eadem specie" (Super Boet. de Trin., q. 4, a. 2 [Decker, ed., 143]). On one reading of this passage, Aquinas has simply failed to see that the issues of individuation and identity over time are distinct, and so assumes without warrant that the principle of individuation can be expected to function also as the source of identity over time. However, on a more charitable reading, if dimensive quantity is defined by the position of the parts of a body relative to each other, and if Aquinas is employing his teacher Albert's analysis of position as requiring permanence of parts of a body over time, then he can allow that the issues of individuation and identity over time are distinct and still claim to have found in position both a principle of individuation and a criterion of identity over time for material substances. Spelling out this claim and its full grounds would take us beyond the scope of the present essay, but the possibility of using position both as principle of individuation and as criterion of identity over time shows the richness of the concept. THE PRINCIPLE OF INDIVIDUATION 559 the outside world. That annoying novelty of years gone by, the Rubik's cube, is based on the fact that the parts of an object can be rearranged even as the object as a whole remains in roughly the same place and intact. So the position of the parts of the cube relative to each other can change even as the place of the cube remains constant. To distinguish further the concepts of position and place, consider a man sleeping soundly in his seat aboard an airliner as it wings its way from Philadelphia to Chicago. The man is changing place quite rapidly, as the airplane carrying him travels at the rate of several hundred miles per hour. However, his position does not change at all; as long as he retains the same posture, the parts of his body do not alter their configuration relative to each other. Then when the plane lands in Chicago, suppose further that it halts on the runway and waits for a gate to become available for unloading. The man awakes and stretches his arms and legs while remaining in his seat. The man now remains in approximately the same place, but the position of the parts of his body alters when he stretches. Based on these examples, we can say that position and place are different attributes of a material substance. Both properties depend in some way on a material substance's being extended in space and having the capacity to move and change, but they are independent of each other in the sense that they must be defined differently and in the sense that each can vary while the other remains constant. This has the consequence that neither place nor position can be reduced to the other. Nor can the weaker relation of supervenience hold between them; if position supervened on place or vice versa, then it would not be possible for position to change while place remained constant. At this point it is surely natural to look to Aristotle's Physics and its discussion of place for further insight into the relation between position and place. One commonality between position and place in this text is that both are connected with dimensionality. Aristotle speaks of six dimensions in the physical world and groups the six into three pairs of contraries: up and down, before and behind, and right and left. In different passages 560 ANDREW PAYNE he speaks of these dimensions as characterizing both position and place. While observing that all natural philosophers have used contraries as principles, he treats position as a genus spanning contrary dimensions: The same is true of Democritus also, with his plenum and void, both of which exist, he says, the one as being and the other as not being. Again he speaks of differences in position, shape, and order, and these are genera of which the species are contraries, namely, of position, above and below, before and behind. (188a 22-25) 21 Within his discussion of the infinite in book 3, chapter 5, Aristotle speaks similarly of place as a genus containing the dimensions: "Further, every sensible body is in place, and the kinds or differences of place are up-down, before-behind, and right-left" (205b31-33). The message of these passages is that both a body whose parts have position relative to each other and the place that the body occupies are to be described as having different areas or regions, where these regions bear the relations of being above or below each other, before or behind each other, or to the right or left of each other. 22 Given the fact that dimensions apply both to places and to positions, we can observe that a material body being in a place is a sufficient condition for it to be constituted by parts having position relative to each other. If a body is in a place, that place will be characterized ·by the six dimensions. As Aristotle says, "Each [of the four elements] is carried to its own place, if it is not hindered, the one up, the other down. Now these are regions [or parts, mere] or kinds of place-up and down and the rest of the six directions" (208b11-14). If the place occupied by a body has an up and a down, or an upper part and a lower part, then the body occupying that place will also have an upper and a lower part. These parts will be configured in space in relation to each 21 Unless otherwise noted, all translation &om the Physics are by R. P. Hardie and R. K. Gaye and are drawn &om Barnes, ed., The Complete Works of Aristotle. 22 For a fuller discussion of the six dimensions and their role in Aristotle's account of place, see Benjamin Morison, On Location {New York: Clarendon Press, 2002), 35-47. THE PRINCIPLE OF INDMDUATION 561 other in a determinate way, with one part being above the other, and so will have position in relation to each other. If a material body being in a place is sufficient for that material body to be made of parts having position relative to each other, then the natural question to ask is whether the converse also holds. Is being a body made of parts having position relative to each other also a sufficient condition for that body being in a place? Intuitively this seems to be true; if a body has parts which have position relative to each other, then those parts need to be somewhere, and the body as a whole will be wherever its parts taken together are, and so will be in a place. The key idea here is that any body is somewhere and so occupies some place. A body is what it is qua body, having a determinate extension and shape, in part because of the way that its parts have position in relation to each other. So being a body made of parts having position relative to each other will be sufficient for that body being in a place. 23 One qualification is in order when speaking of the relation between position and place. Strictly speaking, it is parts of a body that have position in relation to each other; that is why Aristotle speaks of position in the Categoriesas something relative (pros ti [6b2-14]). Yet place for Aristotle is a nonrelative property of whole bodies. There is a nonrelative up and down in the universe, as can be seen in the fact that the simple elements of fire, air, water, and earth go to definite regions of the universe when unimpeded, regions whose place is not defined relative to an observer or some arbitrary point in the universe. Also, place is a property of whole bodies and not, strictly speaking, of their parts. It would be strange to deny that the parts of a body are somewhere and occupy some place, but they are not in their own 23 There is one exception to the general rule that whatever has parts having position relative to each other is in a place. On the Aristotelian view of mathematical entities, lines and plane figures are abstracted from material objects so that the mind represents them to itself apart from matter. In this condition, they have position but not place. So Aquinas says (Super Boet. de Trin., q. 4, a. 3, resp.) that mathematical objects are in place only by similitude and not properly. Due to this special case, I say only that any body or material substance having position will be in a place. 562 ANDREW PAYNE place by virtue of being parts. They are in the place of the whole of which they are parts, and they have place by virtue of their relation to something else, namely, the whole to which they belong. This is the idea behind Aristotle's cryptic comment in book 4, chapter 5: "Nor is it without reason that each should remain naturally in its proper place. For parts do, and that which is in a place has the same relation to its place as a separable part to its whole" (212b33-35). As a result of these qualifications, some care must be taken in comparing position to place. This is the source of such inelegant locutions as "a body being constituted by parts having position in relation to each other" as the correlate to "a body being in a place." Other passages of the Physicsshow a further use of this relative notion of position. This use goes beyond the parts of a body having position in relation to each other and takes in the idea of bodies having position in relation to each other. As Aristotle develops his grounds for taking place to be something absolute, he contrasts the place of a thing with its position, something that is relative. Looking again at book 3, chapter 5, which speaks of the six dimensions as regions or parts or kinds of places, we find the following: "[l]he kinds or differences of place are up-down, before-behind, right-left; and these distinctions hold not only in relation to us and by position [pros hemas kai thesei], but also in the whole itself" (205b31-34 ). 24 So there is an up and a down, and a right and a left in the universe; as a result each body is in some determinate place in the whole cosmos. But the passage also suggests that the dimensions have application in a relative sense, by position. Presumably this means that a body is also in front of another in a line for movie tickets, or to the right of the car in the left-hand lane on the highway. The distinction between relative position of this sort and absolute place arises again in book 4, 24 Here I alter Hardie and Gaye's translation; they render thesei as "by convention" rather than as "by position." But there is a clear sense in saying that things are up or down, right or left in relation to us and our position; the same object, without moving at all, will be up and down in relation to me if I move from below it to a point above it and so change my position relative to it. This is the point that Aristotle makes at 208b15-19, discussed in the following footnote. THE PRINCIPLE OF INDIVIDUATION 563 chapter 1 as Aristotle works toward associating place with the dimensions understood absolutely: Now these are regions [or parts, or kinds of place--up and down and the rest of the six directions; nor do such distinctions (up and down and right and left) hold only in relation to us. To us they are not always the same but change as we change our position; that is why the same thing is often both right and left, up and down, before and behind. But in nature each is distinct, taken apart by itself.25 (208b11-19) As we move relative to the chimney rising out of the roof of a house, that chimney may be first up and then down, to the right and to the left. This does not mean that the chimney has changed its place, only that its position relative to us (and ours relative to it) has changed. III. AQUINAS ON DIMENSIVE QUANTITY So far, we have seen that a material body being in a place is a sufficient condition for it having position, and we have seen that a body having position is a sufficient condition for a body being in place. This means that a body having position is a necessary and sufficient condition for a body being in place. At the same time, as we have seen in the examples of the man seated on the airplane, position and place are different attributes of a material substance and can vary independently of each other. Also, in addition to the parts of a material substance having position in relation to each other, a material substance can have position relative to another substance. It remains, then, to see how Aquinas would be able to use the notions of quantity, position, and place to argue that dimensive quantity, understood as a quantity of matter having position, is the principle of individuation for substances. To use Gracia's terminology, we can argue al/a kata tifn thesin, hop6& an straph6men,gignetaiand its mention of position. The force of the whole passage is 25 Again altering Hardie and Gaye's translation to capture the sense of that up and down and so forth are constant in nature, but that the same thing can become up and then down relative to us and in relation to our position, as we move or turn ourselves. 564 ANDREW PAYNE that dimensive quantity provides the necessary and sufficient conditions for a material substance to be noninstantiable. The main source for this response to Gracia is Aquinas's commentary on Boethius's De Trinitate. In laying out his view on the source of diversity among members of the same species, or numerical diversity, Aquinas focuses on quantity of matter. Such an individual is this form in this matter, but neither form nor matter as such is able to account for the 'thisness' of the individual. Matter individuates form by receiving form as this matter, and it is this matter only insofar as it is divisible, as Aquinas tells us: For form is not individuated through the fact that it is received in matter, except insofar as it is received in this matter which is distinct and determined to here and now. Matter however is not divisible unless through quantity. Due to this the Philosopher says in the first book of the Physics that once quantity is removed an indivisible substance remains. And in light of this, matter is made this and determined according as it is under dimensions. 26 So the dividing or distinguishing of matter that we find in distinct material beings of the same species requires quantity and proceeds by assigning some dimension to these distinct quantities of matter. At the same time, we should keep in mind that dimensive quantity need not be quantity in the sense of measure, that which is signified by "2 quarts" or "3 feet by 3 feet by 3 feet," but also can be the quantity of the thing measured, a quantity which is made of parts having position relative to each other. This becomes clear if we look closer at how Aquinas understands division of matter in the first article of question 4 of his commentary. This question addresses the cause of plurality, and the first article of the question begins by linking a plurality of things to their divisibility or their being divided. In light of this, the cause of division will also be taken as the cause of plurality. 26 See Aquinas. Super Boet. tk Trin., q. 4, a. 2: "Non enim forma individuatur per hoc quod recipitur in materia, nisi quatenus recipitur in hac materia distincta et determinata ad hie et nunc. Materia autem non est divisibilis nisi per quantitatem. Unde Philosophus dicit in I Physicorum quod subtracta quantitate remanebit substantia indivisibilis. Et ideo materia haec et signata, secundum quod subest dimensionibus" (Decker; ed., 143) THE PRINCIPLE OF INDMDUATION 565 To illustrate the division of composite things, Aquinas takes up the division of quantity, and in particular a line. As Kevin White remarks, the fact that this example comes at the beginning of Aquinas's discussion of plurality and individuation and its textbook quality indicate that it was devised expressly to guide our understanding of the question as a whole. 27 "For one part of a line is divided from the other through the fact that they have differing situation [diversum situm], which is as it were the formal difference of quantity having position. " 28 This example is put forward to illustrate the idea that the formal cause of division in composite and posterior things is diversity of simple and first things. If we step back from the larger aims of the article and focus on this sentence, two important points arise which will help illuminate Aquinas's approach to individuation. First, the division which leads to diverse individuals is not crucially a matter of parceling out quantities of matter in the sense of measuring something 3 feet long. Individuality depends rather on the fact that a quantity of matter is the sort of thing that can have different parts with different positions relative to each other. The formal cause of division in quantity, in the sense of the nature by which the cause occurs, is diversity of "simple and first things." The example which follows, a line divided into two parts, is described as resulting in parts with diverse situation, where situation is the formal nature of quantity having position. So situation and position are the first and simple things, diversity in which explains division in posterior and composite things, such as material substances. A second point is terminological. Here and in later passages in the De Trinitate commentary, Aquinas will use the term situs in explaining the individuality of material substances. I have used 'situation' to translate this, in the sense of a thing's being located 27 Kevin White, "Individuation in Aquinas's Super Boetium De Trinitate, Q. 4," American Catholic PhilosophicalQuarterly 69 (1995): 547. 28 Aquinas, SuperBoet. de Trin., q. 4, a. 1: "Dividitur enim una pars lineae ab alia per hoc quod habetdiversum situm, qui est quasi fonnalis differentia quantitatis continuae positionem habentis" (Decker, ed., 134). 566 ANDREW PAYNE or situated in space, but it is important to keep the term and its associated concept apart from place and terms for place. Situs or 'situation' is said to be the formal difference of continuous quantity, so it is the particular nature shared by those continuous quantities composed of parts having position relative to each other. The different parts of a line have diverse situation because they are situated differently within the whole line. As such, situs or situation cannot be place, which is conceived on the model of a container fit for being filled with quantities of matter. Light is shed on the relation between situs and place by Aquinas's commentary on Aristotle's Physics: situs adds to the category of "where" the idea of an order of parts in a place. 29 As a result, situs is concerned with the spatial relations of parts of material substances, as is position. This is not merely a terminological point, since getting clear on the meaning of situs helps clarify Aquinas's view on individuation and present it in its strongest version. According to White, when Aquinas says that division of quantity occurs in a line by the parts of the line having diverse sitits, this means that "the different parts of a line are divided because they have different places, place being, as it were, the formal difference of positioned continuous quantity." Here White takes situs as synonymous with place and as a result presents Aquinas's doctrine of individuation by dimensive quantity as ultimately a theory of individuation by place. 30 This is not a satisfactory exposition of the meaning of situs; an object could retain the same order of its parts even as it changes its place, and so be unchanged in its situs while its place changes. And in light of Gracia's criticisms of the spatio-temporal theory of individuation, we should be alert to differences between situation and position on the one hand and place on the other, so as to interpret 29 See chapter 322 of Thomas Aquinas, In Octo Libras PhysicorumAristotelis F.xpositio, (Rome: Marietti, 1954), 159. 30 "Aquinas states that place enters into the very ratio of dimension, apparently suggesting that it is simpler than dimension, and hence that, according to the argument of Article One, division of place somehow causes diversity of dimension. From the point of view of human knowledge, at least, place seems to vie with quantity as the ultimate root of the discernment of individuals and of the very notion of individuation" (White, "Individuation in Aquinas," 555). THE PRINCIPLE OF INDMDUATION 567 Aquinas's theory of individuation by dimensive quantity as something other than the spatio-temporal theory. Drawing on our review of Aristotle's discussion of quantity in the Categories, we can observe that matter is a continuous quantity and one that is constituted by parts having position in relation to each other. That Aquinas views matter in this Aristotelian light is shown by his reply to the third objection in the crucial second article of the fourth question. That third objection anticipates Gracia by proposing that all accidents are of themselves communicable and so cannot serve as the principle of individuation. Aquinas's reply to this objection points to a special quality of the accident of dimensive quantity. "No accident has in itself the proper nature of division, except quantity. From thence dimensions have of themselves a certain nature of individuation according to a determinate situation, insofar as situation is a difference of quantity. "31 Situs here is the nature or property of quantity having position, one of the differentia of quantity. So it is not simply the fact of having dimensions that makes for individuation in material substances, but in addition the having of determinate position, which dimensions carry in their train. Working still with the set of conceptual connections laid out in the Categories and the Physics, we can say that matter having some quantity will be characterized by some dimensions. Dimensive quantity involves matter having position, or more precisely being made of parts bearing position in relation to each other. A material substance which is made of parts having determinate position relative to each other will also be in some determinate place. This is why matter considered under dimensions is determined to be this matter by being tied to some determinate here and now. Looking further afield in Aquinas's work, we can also understand why he speaks of dimensive quantity as the source of individuation and explains this using the notion of position. While 31 See Aquinas, SuperBoet. de Trin., q. 4, a. 2, ad 3: "Nullum autem accidens habet ex se propriam rationem divisionis nisi quantitas. Unde dimensiones ex se ipsis habent quondam rationem individuationis secundum detenninatum situm, proutsitus est differentiaquantitatis" (Decker, ed., 144) 568 ANDREW PAYNE discussing the presence of accidents in the Eucharist in the third part of the Summa Theologiae, he states that dimensive quantity is the subject of the other accidents remaining in the sacrament. Dimensive quantity is able to play this individuating role because of its connection to position. So it is that dimensive quantity in itself has a certain individuation; we can imagine many lines of the same kind, but all different because of their position; and this position is part of the very idea of this quantity. For it is of the very definition of a dimension to be quantity having position.32 This passage shows how Aquinas might reply to Gracia. A plurality of lines of the same length will all have the same quantity, in the sense that measuring each will produce the same answer to the question "How long is that line?" They are individuated not merely by quantity as measure, but by their difference in position relative to each other which puts them in different places. Yet it is still fitting to speak of dimensive quantity as the source or principle of individuation, since position is the specific difference that distinguishes dimensive quantity from other species of quantity. This points to a statement of the nature that is dimensive quantity. Following the idea that a nature is defined by a genus and a specific difference, the nature of dimensive quantity is quantity having position. Rightly understood, the nature of dimensive quantity includes position, so that whatever has dimensive quantity will also be made of parts having position in relation to each other and will therefore occupy a determinate place. Division and incommunicability result from dimensive quantity, since matter under the accident of dimensive quantity will occupy a determinate location. One sign that these reflections on individuation follow Aquinas's own thought on the topic comes in the third article of the fourth question of the commentary on Boethius. As I have constructed the argument, quantity of matter involves dimensive quantity, which implies that the matter is made of parts bearing position relative to each other, which puts a given quantity of 32 Aquinas, STh ill, q. 77, a. 2. See Thomas Aquinas, Summa Tbeologiae 3a (London: Blackfriars, 1965), vol. 57, p. 134. Translation by William Barden, 0. P. Emphasis in original. THE PRINCIPLE OF INDMDUATION 569 matter in a determinate place. For this result to individuate material substances successfully, it must be the case that no two material substances can occupy the same place at the same time. If two material substances could occupy the same place at the same time, they both could have the same quantity of matter and be assigned to the same determinate place. In that event, quantity of matter would not serve to explain the individuation of the two substances. And in fact, Aquinas devotes the third article of the fourth question to ruling out this possibility. Barring divine intervention, he says, two bodies cannot simultaneously be in the same place and cannot be understood so to be. This is due to the very nature of bodies and not to some superficial characteristic, such as their density or impurity or corruptibility. Rather, we have distinct bodies through division of matter, and this division of matter can occur only when two bodies are distinct according to situation [situs]: [S}incethe division of matter occurs only through dimensions, from the nature of which there is situation, it is impossible that this matter be distinct from that unless they are distinct according to situation, which is not the case whenever two bodies are put in the same place; from which those two bodies would be one body, which is impossible. 33 It supports my interpretation of Aquinas's thought that he asks in the same article whether two bodies can be in the same place simultaneously and rules this out by drawing on the ideas of situation and position. IV. IN DEFENSE OF DIMENSIVE QUANITIY Having attempted to formulate in more depth the notion of dimensive quantity, we can turn now to reconsider Gracia's objections to taking this property as the principle of individuation 33Aquinas, Super Boet. de Trin., q. 4, a. 3: "Oportet enim esse plura corpora, in quibus forma corporeitatis invenitur divisa, quae quidem non dividitur nisi secundum divisionem materiae, cuius divisio cum sit solum per dimensiones, de quarum ratione est situs, impossibile est esse bane materiam distinctam ab ilia, nisi quando distincta secundum situm, quod non est quando duo corpora ponuntur esse in eodem loco. Unde sequitur ilia duo corpora esse unum corpus, quod est impossibile" (Decker, ed., 150-51). 570 ANDREW PAYNE for material substances. As we have seen, these objections are two. First, relying on dimensive quantity as a principle of individuation involves using an extrinsic feature of a thing to explain one of its intrinsic features, namely, its individuality. Second, dimensive quantity is itself something instantiable and so cannot explain the individuality or noninstantiability of a thing. The first objection treats dimensive quantity as on a par with any other accident, as something extrinsic to its subject. This relies on the understanding of dimensive quantity as a measure, that which is indicated by "2 quarts" or "3 feet by 3 feet by 3 feet." In reply, I would argue that dimensive quantity rightly understood is different from other accidents like color or shape which are indeed extrinsic to a material substance. Dimensive quantity implies position, which is the configuration of the parts of a material substance in three-dimensional space relative to each other. Because of the particular configuration of these parts a material substance will be measured as 2 quarts or will have the dimensions of 3 feet by 3 feet by 3 feet, but the position of these parts is the source of these measurements and should not be identified with them. Rather, the position of a body is an integral part of that material substance's constitution. As such, a material substance is extended in the six dimensions and constituted by parts configured in some way relative to each other. A body's position helps constitute it as the body it is, as an extended thing located in some place. The matter of a material substance does not have these features of being extended in dimensions and being made of parts merely from an extrinsic source; rather, its position or the configuration of its parts help make it the body that it is. So for the same reason that matter is an intrinsic principle of a material substance, the position of the parts of a material substance and the resulting dimensive quantity of that material substance are intrinsic features of that substance. Gracia might argue that in fact position is more like such extrinsic features of a thing as its color than it is like a genuinely intrinsic feature. Socrates might have been paler in color if he had spent less time in the agora of Athens under the hot sun of THE PRINCIPLE OF INDMDUATION 571 Greece, but even so he still would have been Socrates, only paler. Similarly, Socrates might have been a bit shorter, leading to a slightly different determinate position of the parts of his body relative to each other, but he still would have been Socrates, only shorter. If this is so, or so goes the possible reply, position is not intrinsic to the individuals it characterizes. But this reply rests on a misconstrual of what sort of intrinsic feature is required in a principle of individuation. To be intrinsic in the way envisioned by this reply, a feature would have to be a necessary property of the individual it modifies, and necessarily present in a determinate way in order to individuate this particular individual. Any change in that individuating feature would lead to a different individual. But this is not Gracia's understanding of how the principle of individuation operates. He thinks of the principle of individuation as ensuring the noninstantiability of the individual, not its uniqueness or its having one determinate set of features. The proposed reply makes the individuality of Socrates consist in his exemplifying whatever features are intrinsic to his being Socrates, his Socrateity, while it leaves obscure exactly how Socrates exemplifies those features and is noninstantiable. As such, this approach to individuation collapses into the bundle theory of individuation, according to which each individual is constituted as an individual by bearing a set of features or some suitably complex feature. Gracia is well aware of the drawbacks of such an approach to the problems of individuation and disavows it. 34 Gracia's second objection to dimensive quantity comes closer to the heart of the matter. The quantities indicated by terms such as "2 quarts" or "3 feet by 3 feet by 3 feet" seem to be instantiable or communicable features capable of being shared by many individuals, and so they do not seem suited to explain the noninstantiability of individuals. Even if we construe dimensive quantity as involving position, the configuration of the parts of a material substance relative to each other, this does not alter the essential fact that position itself is an instantiable and communicable feature. Two material substances with the same 34 Gracia, Individuality, 92-94, 144-50. 572 ANDREW PAYNE external dimensions of 3 feet by 3 feet by 3 feet could share the same internal configuration of parts relative to each other, though the two substances would be located in different places. In this imagined example it is the different locations of the two substances that does the individuating, so that in fact we are dealing with the spatio-temporal theory of individuation, the flaws of which Gracia has already detailed. So dimensive quantity understood as involving position does not provide us with an adequate principle of individuation. In reply, I wish to concede that dimensive quantity is an instantiable or general feature, but to challenge the assumption that no instantiable feature can serve as an adequate principle of individuation. Within Gracia's framework, the principle of individuation, whatever it is, is either itself an individual or it is a universal, an instantiable feature. Gracia claims that it cannot be a universal, because the principle of individuation has the task of explaining how individuals are unlike universals by being noninstantiable. I would argue that this is true of most universals, but that position is a special case. It is an instantiable feature, or a universal, but it is responsible for matter being assigned to determinate places. To explain how an instantiable feature like position can individuate material substances it is necessary first to enrich the conceptual apparatus used to describe position and place. Gracia approaches the problem of individuation using the distinction between universals and instances: universals are instantiable features, while individuals are noninstantiable instances of universals. But consider also the distinction between a determinable and a determinate thing or quality. Color, for instance, is a determinable feature; to say that a thing is colored leaves open whether the thing is black, white, gray, blue, orange, and so on. Any particular thing will have some particular shade(s) of color, though, and will not be simply colored. Similarly, position and place are determinables. Every material substance has some position, in the sense that it is made up of parts extended dimensionally which bear spatial relations to each other, and every material substance is in place. But every material substance THE PRINCIPLE OF INDMDUATION 573 will not simply have position or simply occupy place in general; every material substance will be made up of parts bearing particular, determinate spatial relations to each other and will be in some determinate place. I have introduced the contrast between determinables and determinates using the example of color, a universal or instantiable feature. A determinate color is also a universal. There might be thousands of individuals which exemplify a particular, determinate shade of green, and all of these individuals would be exactly alike, considered as colored things. The same goes for such universals as being human, being made of lead, and having dimensions of 3 feet by 3 feet by 3 feet, all of which are determinate and instantiable features. However, it is important to notice that not every determinate feature is a universal or instantiable feature. In particular, the determinate feature 'place' is different. A determinate place is not a universal; it is simply where a material substance is or can be. A determinate place is not something that an individual exemplifies or that many individuals exemplify. Of course, many different material substances can occupy one and the same place at different times and so in a sense can share a place. But this does not make that determinate place a universal any more than the fact that two individuals can own a particular automobile, with first one person owning the automobile and then selling it to a second, makes that automobile a universal. When first water and then air fills a jar, the two bodies occupy the same place in turn. But this does.not mean that they exemplify the same place; if they exemplify a universal, it would be something like "being in this particular place at some time." But that place is not identical with the universal mentioned here; the place is what surrounds or limits first the one and then the other body, and what those bodies fill with their parts. So a place is not something exemplified by an individual or by many individuals; it is simply the particular region where a material substance is or can be. A determinate place, then, is an individual. In addition, whatever occupies a determinate place is itself an individual. A universal is an instantiable feature, while an individual is what is 574 ANDREW PAYNE capable of exemplifying a universal. On this way of conceiving universals and individuals, it is an individual that will exemplify the instantiable feature of occupying this determinate place at some time. We can formulate a universal "occupying this place at some time" and this universal could be exemplified by many individuals at different times, but this fact is based on the prior fact that one and only one material individual occupies a determinate place at a determinate time. If a determinate place is an individual and is occupied by one or more individuals, we can explain how a universal, instantiable feature can be responsible for individuals being noninstantiable. A determinate position is a universal or instantiable feature, but one that is the source of things having or occupying determinate places. A material substance has a determinate position if it is made up of parts having determinate relations to each other. This configuration of parts within a material substance is an instantiable feature, in the sense that different material substances can be configured internally in exactly the same way; this would be the case in the example of the two wooden cubes with equal dimensions. But one such cube, in having its parts configured in this particular way, will be extended in the six dimensions and will occupy a determinate place. Although the two wooden cubes may have the same internal configuration of parts, they cannot occupy the same place simultaneously, thanks to the fact that two bodies cannot occupy the same place at the same time. So by having a determinate place, each material substance will be incommunicable and noninstantiable; whatever has determinate position will have a determinate place, and only one individual can occupy that determinate place at a given time. This ensures that dimensive quantity or quantity having position will meet the first condition for a satisfactory principle of individuation, namely that it must explain the incommunicability of individuals. From the previous paragraph it might seem that it is the difference in place that secures the individuation of our two cubes of equal size. This is part of Gracia's second objection as elaborated above; it might seem that position as the principle of individuation is indistinguishable from the spatio-temporal theory THE PRINCIPLE OF INDMDUATION 575 of individuation. But this is not so, since position is distinct from and the source of a thing being such as to occupy place and have spatio-temporal location. The position of a material substance, in the sense of its parts being in spatial relations to each other, is intrinsic to that substance. It is this configuration of parts in space that is responsible for the material substance taking up or occupying a place, something extrinsic to that substance. For a material substance to be individuated involves, among other things, being in a determinate place. But this is compatible with holding that what individuates that substance, that which explains its being an individual, is that material substance having quantity and position, or dimensive quantity. So it is the dimensive quantity of a body that is responsible for the place of that body. We typically discern the individuality of material substances by their distinct places, and in holding to dimensive quantity as the principle of individuation we can happily affirm this. Yet still it is the position of a body that is responsible for its place. As a result, relying on dimensive quantity as the principle of individuation does not reduce to the spatio-temporal theory of individuation. By investigating the Aristotelian background of several of the key terms in Aquinas's discussion of individuation in the Expositio super librum Boethii De Trinitate, I hope that I have provided further support for the claim that dimensive quantity, although it is an accident, carries with it "a certain individuation." Gracia bases his position on what seems to be unassailable logic: if to be an individual is to be noninstantiable, and if dimensive quantity is an instantiable feature by virtue of being an accident, then it cannot explain the individuality of anything. Yet things are not so simple; the special nature of dimensive quantity, that which is composed of parts having position relative to each other, is such that it is responsible for material objects having determinate places. In doing so, dimensive quantity individuates material objects.35 35 I wish to thank Daniel Novotny and Jorge Gracia for their helpful comments on this piece and for their insightful criticism of my approach to issues of individuation. The Thomist 68 (2004): 577-600 GUITMUND OF AVERSA AND THE EUCHARISTIC THEOLOGY OF ST. THOMAS MARK G. VAILLANCOURT Staten Island, New York 0 NE OF THE PRINCIPAL treatises written to defend the doctrine of the real presence in the Eucharistic crisis of the eleventh century, De corporis et sanguinis Christi veritate in eucharistia libri tres, 1 by Guitmund of Aversa, contains a fascinating vision of the Eucharist as a species domini, or another postresurrection apparition of Christ, that calls for further examination by theologians of our own day. Guitmund's doctrine of the real presence, characterized by some authors as "ultra-realist," 2 is actually far more faithful to the received tradition and indeed anticipatory of the Eucharistic theology of St. Thomas than was once thought. In fact, when compared to that of Thomas, Guitmund's teaching on the real presence furnishes much insight into just what the Angelic Doctor actually taught about the Eucharist. In order for the reader to appreciate this portrait of the Eucharistic Christ, and to understand not only how it anticipates the Thomistic synthesis, but indeed even lays the theological foundations for it, I shall rehearse briefly the historical background of Guitmund's De corporis et sanguinis Christi and its immediate context, the Berengarian crisis ofthe eleventh century. 1 See Mark G. Vaillancourt, "The Role of Guitmund of Aversa in the Developing Theology of the Eucharist" (Ph.D. diss., Fordham University, 2004). 2 See J. Montclos, 1.Anfranc et Berenger: LA controverse Eucharistique du Xie siecle (Louvain: Spicilegium Sacrum Lovaniense, 1971), 462; F. Vernet, "Eucharistic du IX a la fin du XI siecle," Dictionnairede thiologie catholique5 (Paris: Letouzey et Ane, 1913),1228; J. Geiselmann, Die Eucharistielehreder Vorscholastik(Paderborn: F. Schonigh, 1926), 375. 577 578 MARK G. VAILLANCOURT I will then discuss Guitmund's Eucharistic doctrine as it can be found in De corporis et sanguinis Christi, and compare his theology with that of St. Thomas Aquinas. Such an exposition should illustrate not only the importance of Guitmund's insights into the doctrine of the real presence, but also the extent to which Thomas's Eucharistic doctrine was predicated upon them. I. GmTMUND OF A VERSA AND THE BERENGARIANCRISIS OF THE ELEVENTH CENTURY Guitmund of Aversa was born sometime during the first quarter of the eleventh century in Normandy, and joined the Order of St. Benedict at the Abbey of the Cross in St. Leufroy.3 Around the year 1060, he began his theological studies at the monastery of Bee, where he fell under the influence, and became the faithful disciple, of Lanfranc, Berengarius's principal antagonist and chief proponent of Eucharistic realism. We know from his own correspondence that around 1070 William the Conqueror ordered him to leave France and travel to England. As an enticement to remain in England, William offered him a diocese, but Guitmund rejected the offer because of William's brutality and the Norman hegemony over the British people. 4 He then left England and returned to France. After his return to Normandy, there was a movement to have Guitmund fill the see of Rouen, but the attempt was blocked by his enemies.5 Subsequent to his episcopal rejection, Guitmund sought permission from his abbot to leave Normandy, and reside at a monastery in Rome, where he assumed the name of "Christian. " 6 Upon his arrival, one chronicler of the period wrote that "Pope Gregory VII received See Notitia historica et litteraria (PL 149:1425A-1426B). •See Guitmund. Oratio ad Guillelmum I Anglorum regem cum recusaretepiscopatum (PL 149:1509A-1512A). 5 According to Oderic Vitalis, Guitmund's enemies used the fact that he was the son of a priest to block his election (see excerpt from Historia ecclesiastica5.17, appended to the end of Guitmund's Oratio [PL 149:1512C]). 'See the anonymous De Berengariihaeresiarchedamnatione multiplici (PL 145:8B). See also Theodoric Ruinart, Vita beati Urbani II papae (PL 151:78A). 3 GlTITMUND OF AVERSA AND EUCHARISTIC THEOLOGY 579 him with joy and made him a cardinal. "7 We know also that in February 1077, Gregory appointed him to a papal legation north of the Alps.8 It appears that Guitmund continued to reside in Rome after the death of Gregory VII, and was elevated to the see of Aversa in southern Italy by Pope Urban II at the council of Melfi in 1089, 9 where he remained until his death around 1095. Guitmund is known to have authored four works: (1) Confessio de sancta trinitate, Christi humanitate, corporisque et sanguinis Domini nostri veritate; (2) Oratio ad Guile/mum I; (3) Epistola ad Erfastum; and (4) De corporis et sanguinis veritate Christi in eucharistia libri tres.10 It is the last work that constitutes the main focus of this article. It is apparent from internal evidence that it could not have been written before Hildebrand became pope, 11 or after the Roman council of 1079. It was probably written, therefore, while Guitmund was still in Normandy, before he left for Rome, and very possibly before the council of Poitiers in 107 5. Consequently, the publication of De corporis et sanguinis Christi should be dated around the end of the Berengarian controversy, that is, between 1073 and 1075. Berengarius was born in Tours sometime between 999 and 1005. As a young Scholastic, he studied liberal arts and theology in the cathedral school of Chartres under the bishop, Fulbert (952-1028). In 1039 he was elected archdeacon of Angers, and took up a teaching post at the cathedral school of St. Maurice, but continued to reside in Tours. Sometime around 1048 his interest in sacred Scripture 12 led him to study the biblical commentaries of Ratramnus of Corbie, wrongly attributed to the ninth-century Historia ecclesiastica5.17 (PL 149:15120). See Paul Bernrieden, Vita S. GregoriiVII (PL 148:810). ' Robert Somerville, Pope Urban II: The "Collectio Britannica"and the Council of Melfi (1089) (Oxford: Clarendon Press, 1996), 53-57. 10 See also Jean Leclerq's "Passage authentique inedit de Guitmund D'Aversa," Revue Benedictine 57 (1947): 213-14. 11 See Guitmund, De corporiset sanguinisChristi 3.42. The latest known edition of the work was published by H. Hurter, in the collection Sanctorum patrum opuscula selecta 38 (Innsbruck: Libreria Academica Wagneriana, 1879). In my translation, I have used Hurter's text and paragraph notation. 12 See Montdos, Lanfranc et Berenger, 48. 7 8 580 MARK G. VAILLANCOURT theologian John Scotus Eriugena. Berengarius also read De corpore et sanguine domini by Paschasius Radbertus, the Carolingian author of the first monograph ever written on the Eucharist. 13 Berengarius embraced the Ratramnian view of Eucharistic symbolism, and rejected Radbertus's earlier treatise, which he regarded as the Eucharistic realism adopted by the "common crowd." Berengarius considered Eriugena's doctrine, or rather that of Ratramnus, as the faithful exposition of the authentic tradition, expressed most notably by Jerome, Ambrose, and Augustine.14 His ideas, however, soon provoked a public scandal, and through the agency of Guitmund's mentor, Lanfranc, then prior of the abbey of Bee, they found their way to Rome and the council over which Cardinal Humbert of Silva Candida presided in 1050. Both at Rome and later that year in Vercelli Berengarius was condemned in absentia; Lanfranc was present at both sessions. At the Easter Council of 105 9, Pope Nicholas II presided over 113 bishops assembled for the general business of the Church. Cardinal Humbert drafted the profession of faith that Berengarius, this time in attendance, was forced to sign: I, Berengarius, unworthy deacon of the Church of St. Maurice at Angers, knowing the true, Catholic, and apostolic Faith, condemn all heresy, especially that of which I have hitherto been guilty, and attempts to assert that the bread and wine that are placed on the altar are, after the Consecration, only a sacrament [solomodo sacramentum] and not the true Body and Blood of Our Lord Jesus Christ, and that they are not able to be touched or broken by the hands of the priests or chewed by the teeth of the faithful [dentibus atten] sensibly, but rather only sacramentally [sensualiter nisi solo in sacramento]. Moreover, I assent to the holy Roman and apostolic See and, concerning the sacraments of the Lord's table, I profess with mouth and heart that I hold that Faith that the lord and venerable Pope Nicholas and this holy Synod, resting on the authority of the Gospels and the Apostles, have handed on to be held and have confirmed for me: namely, that the bread and wine that are placed on the 13 Paschasius Radbertus was a monk of the Abby of Corbie; he was elected abbot in 844, resigned his office in 851 and died in 865. His tteatise De corporeet sanguinedomini was written sometime between the years 831 and 833, and the first edition was produced exclusively for the insttucrion of his fellow monks. The second edition, which would receive a far wider circulation, appeared over a decade later in response to a request by the Emperor Charles the Bald, between the years 843 and 844. 14 Montclos, Lanfranc et Berenger,48-49. GUITMUND OF AVERSA AND EUCHARISTIC 11-IBOLOGY 581 altar are, after the Consecration, not only the Sacrament but the true Body and Blood of Our Lord Jesus Christ, and that they are in truth [in veritate] sensibly and not only sacramentally touched by the hands of the priests and are broken and chewed by the teeth of the faithful. I swear this by the holy and consubstantial Trinity and by these holy Gospels. I pronounce that those who will come forward against this Faith with their own doctrines and followers are worthy of eternal damnation. But if I myself should at some point presume to think, or preach, anything against these things, I submit myself to the severity of canon law. I have read, and reread this, and sign it willingly.15 This statement on the real presence was ratified by the pope with the unanimous assent of the bishops in attendance. It was, as we shall see, the starting point for Guitmund's understanding of the real presence of Christ in the Eucharist. II. THE EUCHARISTICDOCTRINE OF GUITMUND OF AVERSA A) Guitmund and the Real Presence De corporis et sangu.inis vertitate Christi in eucharistia is first and foremost a defense of the 1059 definition, and its author was undoubtedly justifying the Eucharistic doctrine of his teacher and mentor, Lanfranc, whom he mentions often in the text with great admiration. Guitmund's own Eucharistic theology, as it can be found in De corporis et sangu.inis Christi, appears primitive in its graphic portrayal of Christ's physical presence in the Eucharist. This undoubtedly arises from the "shock value" already contained in the language of the 1059 oath, for which his work is an apology. A close study of the work, however, reveals profound subtleties of thought that reflect sound theological principles. These subtleties are at times truly innovative, and argue for a Eucharistic realism that cannot easily be dismissed. They are most notable in the distinctions that Guitmund makes, which in themselves are important to his understanding of the substantial change and sacramental character of the Eucharist, but are most crucial in his explanation of the nature of the real presence. 15 Translation in J. T. O'Connor, The Hidden Manna: A Theology of the Eucharist (San Francisco: Ignatius Press, 1988), 177. See also Denziger-Schonmetzer (DS) 690. 582 MARK G. VAILLANCOURT Upon careful examination of the text, one finds that Guitmund uses two words to express the vision of the real presence of Christ on the altar as the same body born of the Virgin. They are both verbs that appear as passive infinitives in the Latin text, one taken from the Berengarian oath, the other from the lexicon of post1059 Berengarian objections to the oath, and both are terms that serve as points of departure for Guitmund's doctrinal exposition: atteri and dissipari.16 An analysis of both will effectively unearth those theological principles, and make clear his profound vision of the real presence of Jesus in the Eucharist as none other than the true presence of the risen Christ himself. 1. The Body of Christ Is Chewed by the Teeth: Atteri One of the first objections raised against the oath of 1059 is that it contained language "grossly material" 17 or "carnalist, " 18 that is, that the body of Christ is chewed by the teeth in holy communion, not just sacramentally (sacramentaliter)but sensibly (sensualiter).19 Most theologians choose to shy away from the language, or excuse it as an overreaction to Berengarius's Eucharistic symbolism. Guitmund, however, embraces this term with a certain sense of "Augustinian boldness," for he asks: "Why is it not right for Christ to be chewed by the teeth?" 20 The objection itself can be understood in only two ways: either it is 16 Thomas in his commentary on the 1059 oath (STh m, q. 77, a. 7, ad 3) , uses the word masticari instead of atteri and dissipari,but the sense is the same, that is, these two words taken together mean the one process of mastication during holy communion. 17 A. J. Macdonald, Berengarand the Reform of Sacramental Doctrine (Merrick, N.Y.: Richwood Publishing Company, 1977), 131. 18 Montclos, Lanfranc et Berenger, 25. 19 In explaining the phrase non solummodo sacramentaliter,Lanfranc makes it clear that: "the Church of Christ believes thus, that the bread is changed into flesh and the wine into blood, and also believes unto salvation and rightly acknowledges it to be a sacrament of the passion of the Lord, of divine propitiation, concordance and unity; the flesh and blood once assumed from the Vtrgin, [is a sacrament] of each one of these things, each in its own way" (Lanfranc, De corporeet sanguinedomini adversusBerengariumTuronensem[PL 150:415A]). Thus Lanfranc recognized that the 1059 assertion of the real presence did not vacate the sacramental character of the Eucharist. 20 Guitmund, De corporiset sanguinisChristi 1.10. GUITMUND OF AVERSA AND EUCHARISTICTHEOLOGY 583 not possible for God to will such a thing, or, even if he could, it would be beneath his dignity to do so. To address the first objection, namely, that it is not possible for Christ to be chewed by the teeth, Guitmund adduces the allpowerful will of God. This was Paschasius's first principle in the De corpore, and, true to that tradition, Guitmund makes it his own. If God has willed it, there is nothing on the part of created reality that can resist it, 21 for, to quote the Psalmist, "whatever God wills to do, he does, both in heaven and on earth" (Ps 134:6). As one reviews the literature of the period, it becomes clear that, for the defenders of orthodoxy, this principle trumps all arguments. As author of creation, God can will a relationship between Christ's body in heaven and the faithful on earth that allows it to be touched by them in a physical way today, just as it was when Jesus was still in this world. Guitrnund's first subtle distinction then follows upon the response to the first objection when he asks: "Just what do they mean by atteri?"22 If by atteri, he says, they mean "to touch more forcefully," then why cannot Christ be touched? Was not Christ touched by Thomas and the holy women after his resurrection? For if the body of the Lord could be touched by the hands of Thomas the Apostle and the holy women after the resurrection, why can it not be touched by the teeth of the faithful today, either lightly or more forcefully (that is atten)-there seems to be no reason to prevent it.23 Once this distinction is made, namely, that atteri is no more than an extension of the sense of touch, which is proper to physical bodies, then it must be possible to touch Christ in the Eucharist, with the teeth or the hand, or with any other part of the body. For Guitrnund, the presence of Christ in the Eucharist is really and physically the presence of the same body that was encountered by the disciples in the postresurrection experiences. There is no difference-in fact there is an identity between the 21 Ibid. 22 Ibid. 23 Ibid. 584 MARK G. VAILLANCOURT two. In Guitmund's view, the body of Christ seen on the altar is the same body that has risen and ascended into glory, hence to encounter one is to experience the other. If, however, there is no question of impossibility, then what of unsuitability? If this real presence were possible, since for God all things are possible, would it not be unseemly for Christ to be chewed by teeth? Guitmund responds to this objection with another doctrinal principle, reminiscent of Philippians 2:6-11: the humility of Christ. For would he who "was crushed [atten] by the rods of the infidel, the crown of thorns, the cross, the nails, the lance, by all the extreme irreligiosity that was within them" 24 refuse, for the sake of the same faithful, to endure that which was less worthy, namely, to be crushed by their teeth? Guitmund replies in the negative, for if Christ subjected himself to the extreme humiliation of the passion, which meant that he permitted his body to be crushed by sinful men, then it stands to reason that he would also allow it to be touched by his faithful for their salvation. The next important, yet subtle, distinction on the atteri discourse arises from the question as to whether or not "to press more forcefully" means the same thing as "to wound." The former pertains to the sense of touch which is natural to human flesh, but the latter, Guitmund claims, belongs to the infirm character of our mortal human nature, and since "the flesh of the resurrected Lord retained what was of its nature, and lost what belonged to that flesh in its infirmity," Christ can be pressed by the teeth of the faithful with all the strength that is in them, and they can never harm or wound him, for the flesh of the glorified Christ, characterized by impassibility, is now impervious to any form of injury or suffering.25 Guitmund's conclusion, which expresses his final word on the defense of the language of 1059, is a typical refrain found throughout the work: 24 Ibid. 1.11. 2S Ibid. 1.13. GUITMUND OF AVERSA AND EUCHARISTICTHEOLOGY 585 Consequently, since no impossibility prevents it, nor does the humility of Christ abhor it {if in fact it is necessary for our salvation), and since there is no possibility of defiling the Savior, or of wounding him bodily, and no other reason why it would be unlawful to chew [atten] Christ with teeth-if in fact atteri is understood as equivalent to "touch more forcefully" -then the argument they advance against us is false and lacking force, saying as they do that: "It is not right for Christ to be chewed [attert] by teeth. " 26 But if the body of Christ can be chewed by teeth in a way that is both doctrinally defensible and reasonably understandable, one could also ask about the logical consequence, specifically, is that same body also "broken into pieces [dissipan], just like those things that teeth chew and break into pieces?"27 As in the case with atteri, so it is with dissipari:a close examination soon reveals a great deal about Guitmund's understanding of the real presence. 2. The Body of Christ is Undivided: Dissipari Guitmund emphaticly denies that a physical encounter with the glorified body of Christ in holy communion implies in any sense carnalism, or worse, cannibalism. No sooner does he affirm the appropriateness of atteri than he qualifies its logical consequence, dissipari:"Indeed, this too we also confess, that it is certainly not right that by any form of violence-either by teeth or any other means-for Christ to be broken up into pieces [dissipan]."28 It is this notion of dissipari, construed in the context of "bodily division" and applied to the Eucharist, that at first glance seems to be a wild contradiction with the experience of the senses. Nevertheless, when the subtle distinctions are again made known, they bring to light Guitmund's most salient theological principles. First, one must always remember that the principal object under Guitmund's consideration is the Eucharist, which for him is the body of Christ. On the level of presence,therefore, there is no distinction between the body of Christ in heaven and the body of Christ on the altar; the only difference is the manner of 26 Ibid. 1.14. 27 28 Ibid. 1.7. Ibid. 1.15. 586 MARK G. VAILLANCOURT appearance. There is, nonetheless, a paradox presented to the understanding, for the Eucharistic body of Christ on the altar is seen to be broken in the fractio at Mass, but it must in fact be unbroken, as the celestial and glorified body is unbroken in heaven. The question, then, is "how can this be?" For Guitmund, the answer to this mystery lies in the divine motive that makes such a thing possible, for bodily division should not be regarded as dividing up the whole, but rather, the feeding of the many by the one: For although the reason for the apparent division by the priest seems to be a great mystery, nevertheless we should believe that when the venerable body of Our Lord and Savior is distributed to the faithful, he has not divided himself among the individual recipients, but rather we believe that he comes into different members of the faithful by way of a participation in himself.29 Here one encounters another one of Guitmund's important theological principles, which, although drawn from the tradition, has been articulated by him in a way that has become standard in Eucharistic theology ever since: We can also say that there is as much of him in a little portion of the host as in the whole host. Just as one reads about the manna, that neither those who gathered more had more, nor those who gathered less had less. The whole host is the body of Christ, therefore, each and every separate particle is the whole body of Christ. Furthermore, three separate particles are not three bodies, but only the one body. Nor do the particles even differ among themselves as if they were a plurality, since one particle contains the entire body, just as the other particles do. And so they should not now be called many particles, but rather, one integral and undivided host, even though it seems to be divided because of the priestly office.30 For Guitmund, then, the whole Christ is present entirely in each part of the host, whether the host remains whole or is broken during Mass, and the whole Christ is entirely present in the whole host as he is in each portion of it. None of the different portions of the fractured host in fact differ among themselves, for they are 29 Ibid. 1.16. JO Ibid. GUITMUND OF AVERSA AND EUCHARISTICTHEOLOGY 587 the one and the same Christ. The same would be true of a thousand Masses offered at the same time, for in each Mass the whole Christ would be present. Christ himself would not be divided by either the different places or the individual priests, for "at one and the same time in a thousand places the one and the same body of Christ can be whole and undivided. "31 In order to illustrate the reasonable possibility of this doctrine, Guitmund points to an analogy with the voice and the soul. Just as the human voice can make known the thoughts of the human heart to many ears at once without being divided in any way, thereby allowing many ears that are touched by its sound to receive the one and the same message, so in the same way the body of Christ, which is one in heaven, can come to the many by way of the sacrament without suffering any division in himself.32 In a similar way, just as the soul is not divided among the many members of the body, but is wholly present entirely to each, so the flesh of Christ is present to his body, which is the Church, without being divided up in any way: He then who has bestowed such power upon our soul, so that at the same time it exists as one and the same and indivisible in each and every portion of its body, why would he not give that dignity to his own flesh if he wished to? Is his flesh not powerful enough to be whole and entire in the diverse portions of his body the Church? And just as the soul would be the life of our body, would not in a similar way the flesh of the Savior (by all means many times better than our soul because of the grace of God) be the life of the Church? 33 In dissipari, then, just as in atteri, one finds another of Guitmund's important theological principles, namely, the ability of Christ to be whole and entire in every portion of the host as well as to each of the faithful at one and the same time. Because that body cannot be divided, it cannot be harmed. Nor is a breaking of the host a cause of division in Christ's body. However many times it undergoes division, it is not diminished, but instead remains a means of multiplying the one for the sake of the many, 31 Ibid. 1.18. 32 Ibid. 1.19. 33 Ibid. MARK G. VAILLANCOURT 588 and at the same time renders a richly symbolic commemoration of the Lord's passion. To the objection that the testimony of the eyes is contrary to all that he has asserted, Guitmund replies that the senses can be deceived, often in little things, and always in this one. 34 For Guitmund, what is absolutely essential on the part of the believer, so as to pierce this great mystery, is faith, for the testimony of the inner eye of the soul is to be believed over that of the carnal and deceived eye.35 On this point, Guitmund offers a most interesting query: "Is there any difference in the way that the eyes of the faithful are deceived today, from the way that the disciples were betrayed by their eyes with the different appearances of Our Lord while he was still upon this earth?" And it is just this consideration that leads us to perceive the bread and wine of the Eucharist as just another appearance of the Lord, or a species domini. B) Guitmund's "Species Domini" One of the most fascinating aspects of Guitmund's Eucharistic theology is his understanding of the sacraments of the altar as another postresurrection appearance of the Lord, that is, of the same type as those various appearances of Christ recorded in Scripture where he went unrecognized by his disciples. The notion of the species domini has as its origin the theology of Paschasius, but it has been expanded in its scope by Guitmund. In Guitmund's theology, the real presence is simply a sacramental continuation of Christ's earthly presence. According to Guitmund, Christ "is wholly in heaven while his whole body is truly eaten upon earth. "36 What one sees on the altar, therefore, is merely another of the many appearances that Christ assumed while he was upon the earth, when the disciples, although looking at him, did not recognize him: J4 Ibid. 1.22. 35 Ibid. 36 Ibid. 2.51. GUITMUND OF AVERSA AND EUCHARISTIC THEOLOGY 589 For when Mary Magdalene, weeping at the tomb of the Lord, saw the Lord himself-was it not Jesus? But because she was deceived by the eyes, instead [of seeing him] did she not think instead that she was seeing the gardener? Or, when on the day of his own resurrection, he explained the Scriptures to two of his disciples while they were walking along the way-was it anything other than Jesus himself, acting as if he were a pilgrim? For it is written: "Their eyes were held that they might not recognize him." Or, while the disciples were laboring upon the sea, and they saw him walking upon the waters-who would dare to say that it was not he, even though, because they had been deceived by the eyes, they thought that he was a ghost?37 Consequently, if the eyes could view the true reality of the sacrament, one would see the Lord Jesus in his own proper form in the glory of heaven. Since, however, our fleshly senses fail us in this matter, faith must substitute for vision. In the tradition articulated by Paschasius, then, after the consecration, the appearances of bread and wine cease to have their own proper reality, but instead, owing to the miracle of transubstantiation, they derive their new reality directly from Christ himself. Viewed in this way, the "sacraments of the Lord's Body and Blood" have lost all of their natural nutritive capacity. in addressing the issue of stercorianism, 38 Guitmund emphatically denies that "these sacraments" are subject to the same laws of bodily digestion as normal bread and wine. 39 In fact, so direct is the relationship between Christ and the "sacraments of the altar" that Guitmund absolutely rejects any notion that they can corrupt or decay. Christ can never know corruption, and the Eucharist is Christ, the food of eternal life: For to us, that Eucharist, that divine manna, is the heavenly bread from God. For truly we receive from the sacred altars the flesh of the immaculate Lamb rendered incapable of suffering, through which we both live and are healed from corruption. This flesh can never be corrupted, nor perish, because although from day to day it renews us, it never grows old. 40 Ibid. 1.23. The tenn, that derives its name from the Latin tenn stercus, or "dung," denotes a doctrine that applies to the objective nature of the Eucharistic species themselves, and their subjection to the usual laws of bodily digestion. 39 Guitmund, De corporis et sanguinis Christi 2.13. 40 Ibid. 2.2. 37 31 590 MARK G. VAILLANCOURT This notion of the absolute impossibility of these "divine sacraments" undergoing any form of corruption, either from being reserved too long or from any other natural process, is a decidedly Ambrosian thought, and one that will eventually draw criticism upon Guitmund, but it is something that he emphatically defends nonetheless. In Guitmund's theology, the species of the sacrament derive their existence directly from Christ, and hence are completely subject to his will, just as he manifested his glory in the Transfiguration, or disguised his identity in the postresurrection appearances: [For] the Lord himself is reported to have shown himself to his disciples in different manifestations [species].At one time he showed himself to them in the customary appearance, at another in the transfigured splendor of the sun and snow; at one time he showed himself as a pilgrim, another time he looked like a gardener. 41 The sacraments of the altar, therefore, are a species, or appearance, of Christ (although not his proper, or natural appearance), and as such are a manifestation of Christ's presence-a presence that is brought about by transubstantiation. C) Guitmund and Transubstantiation It is admittedly anachronistic to use a thirteenth-century word to describe Guitmund's eleventh-century theology, but, as we shall see, the manner in which this tradition of the Eucharistic change was received and understood in the Fourth Lateran Council was precisely how Guitmund described it in De corporis et sanguinis Christi. I contend, in fact, that Guitmund's overall contribution to the elucidation of this doctrine was his theological lexicon on the subject, which stood as a verbal backdrop to the doctrine's final formulation. This fact can be readily shown by a discussion of the substance-accident distinction in the sacrament. First employed by Guitrnund, and then taken up by thirteenth-century Scholastics, it became the centerpiece of their substantial change theory. 41 Ibid. 3.29. GUITMUND OF AVERSA AND EUCHARISTICTHEOLOGY 591 Towards the end of the first book of De corporis et sanguinis Christi, Guitmund admits that the notion of this type of substantial change poses a certain difficulty for some. In the normal course of events, "when something is substantially changed into something else [substantialiter transmutatur], it is usually changed into that which did not exist before. "42 Nevertheless, in the Eucharist the change involves one reality being transferred into another (in unum aliud transferatur), 43 or, to be more specific, "bread and wine change into [transire] the flesh and blood of the Lord. "44 And since such a change is beyond our daily experience, Guitmund is tasked with explaining just how such a thing is possible. According to him, there are four types of change in nature that can be found in sacred Scripture. 45 The first is creation from nothing; the second is its reasoned opposite, annihilation. The third is the change of one substance into something other than what it was beforehand, and the fourth is a substantial change of one previously existing thing into something that already exists. And this last type, "where that which exists passes [transit] into that which already exists," is the one whereby "bread and wine by a unique divine power are changed [commutan] into Christ's own body. "46 Guitmund makes it clear that "when we say the bread is changed, it is not changed into flesh that was not yet flesh, but rather, into that flesh which was already the flesh of Christ, a change which we confess occurs without any increase in the flesh of the Lord himself."47 Such a change can be known only by faith; 48 it is reserved by God himself for his own body, 49 and has no equal in the created order. 50 It is singular and unique, open only to the eyes of faith, yet it can be understood from other types of change experienced in nature, and 42 Ibid. 1.31. 43 Ibid. 1.9 • .. Ibid. 2.18. 45 Ibid. 1.38. 46 Ibid. 1.39. 47 Ibid. 1.31. 48 Ibid. 49 Ibid. 1.37 • . so Ibid. 1.34. 592 MARK G. VAILLANCOURT is very similar to that which occurs in accidents inhering in a substance. Guitmund's understanding of the nature of the substantial change in the Eucharist, as "one thing coming to be in another," is made clearest if one looks at his study of the relationship of accidents to a substance. After treating creation, and its opposite, annihilation, Guitmund points out what accidents themselves seem to experience during an accidental change: Concerning singular accidents which depart when others supervene, it would appear that one cannot simply say that they become absolutely nothing. Certainly, if they were something, they would be in a subject. But with contrary ones supervening, they cannot remain in their subject, nor pass over [transmeare] into another one. Therefore they become completely nothing, unless perchance someone could say that they are changed [transmutan] into that which supervenes. H this is so, then innumerable examples occur to us of those things which are essentially changed [essentialiter transmutantur] into those things which simultaneously exist. 51 In Guitmund's mind, this understanding of accidental change offers an insight into the change that the substances of bread and wine undergo at the consecration, for as the accidents recede, just as we have said, either they are annihilated, or, if they are changed fpermutantur], then they are changed into the arriving ones, which in no small way would approach the matter we are investigating. 52 Based on this analogy, the Eucharistic change is one wherein the substance of the bread, by means of a change in the order of substance, becomes the preexisting reality of the body of Christ. Articulated in this way, the substantial change in the Eucharist parallels that of an accidental change observed in nature, that is, the change whereby accidents that inhere in a substance are changed into those supervening accidents that "arrive" in the subject, the substance itself remaining the same. So for Guitmund, as for Thomas, transubstantiation involves accidental change in reverse; in other words, substances change while the accidents Sl Ibid. 1.38. 52 Ibid. GIBTMUND OF AVERSA AND EUCHARISTIC THEOLOGY 593 remain. Thus in Guitmund's doctrine, as in later Scholastic theology, the substantial change in the Eucharist is a change that takes place in the order of reality. In this case, the reality of the bread gives way to the higher reality of Christ's body, and the reality of the wine gives way to the higher reality of Christ's blood. What remains are only the "appearances" of bread and wine, which have retained their "likeness" to the former reality that they once were, for "the substances [substantiae] of things are changed, but, on account of horror, the prior taste, color and the rest of certain accidents [accidentia], in so far as they pertain to the senses, are retained. "53 III. GUITMUND AND THOMAS A) Comparison Two later developments in Eucharistic theology, namely, the notion that the Eucharistic accidents exist without a subject54 and the use of the word "transubstantiation" to describe the substantial change that occurs at the consecration,55 coupled with the Aristotelian revival of the twelfth century, set the stage for the comprehensive and systematic approach to Eucharistic theology taken by St. Thomas, most notably his Summa theologiae. Written towards the end of his life while residing in Naples, just a short distance from Aversa, Thomas's theological exposition of the Eucharist in the third part of the Summa embraces many of the key elements already expressed in Guitmund's De corporis et sanguinis Christi. 56 This suggests that Thomas may well have been acquainted with Guitmund's text. Although Thomas never mentions Guitmund by name, the Thomistic synthesis itself, as we Ibid. 3.28. First taught by Algier of Llege Ct 1132) in De sacramentiscorporiset sanguinisdcminici, and later defined at Constance in 1415 (DS 1152). 55 Found in the creed of Lateran Council Nin 1215 (DS 802). 56 A fact that lends some credence to O'Connor's insight that Guitmund's contribution to the development of Eucharistic theology "anticipated some of the great synthesis of St. Thomas" (O'Connor, Manna, 106.) 53 54 594 MARK G. VAILLANCOURT shall see, exhibits many points of convergence between the two. This, I contend, makes the case for Thomas's use of De corporis et sanguinis Christi in the development of his own Eucharistic theology. One obvious point of agreement between the two is the acceptance of transubstantiation as a substantial conversion of the elements of bread and wine into the body and blood of Christ, 57 while the "accidents" of bread and wine remain after the consecration. These appearances persist, according to Thomas, in agreement with Guitmund, so as to "avoid the horror" of eating human flesh and drinking blood. 58 For Thomas, as for Guitmund, this change arises out of the substance of the bread, such that the substance of the bread itself is converted into the substance of the body of Christ, and in a way that the former becomes the latter through a complete and total substantial conversion that excludes any possibility of annihilation. 59 In agreement with Guitmund, Thomas teaches that the real presence of Christ in the Eucharist is also a physical one. 60 With Guitmund, Thomas likewise explains that the "whole Christ is under every part of the species of the bread. "61 Finally, in a way strikingly similar to Guitmund, Thomas asserts that when the "sacramental species" are broken or divided, Christ's "true body" is not so divided because, first, that glorified body is incapable of harm, and second, it is whole and entire under each and every part, and this is "contrary to a thing broken. " 62 There are, it must be admitted, a number of radical differences between Guitmund and Thomas. In a marked difference from Guitmund, who seems to hold that the subject of the Eucharistic species is the actual body of Christ itself, Thomas himself adopts a later theological development that the accidents exist without a SI'h m, q. 75, a. 4. SI'h Ill, q. 75, a. 5. Cf. Guitmund, De corporiset sanguinis Christi3.29. 59 SI'h m, q. 75, aa. 3 and 8. Cf. Guitimond, De corporiset sanguinis Christi 1.38. 60 SI'h m, q. 76, a. 1, ad 2. Thomas says "By the power of the sacrament there is contained 57 58 under it, as to the species of the bread, not only the flesh, but the entire body of Christ, that is the bones, the nerves, and the like." 61 SI'h m, q. 76, a. 3. 62 SI'h m, q. 77, a. 7. Cf. Guitmund, De corporiset sanguinis Christi 1.13 and 16. GillTMUND OF AVERSA AND EUCHARISTICTHEOLOGY 595 subject. 63 Thomas further states not only that these accidents exist without a subject, but that neither can the body of Christ be affected by such accidents, nor even altered in any way so as to receive them. 64 Moreover, Thomas holds that all the other accidents inhere in the one primordial accident of "dimensive quantity," such that it is the medium whereby all the other accidents are related to it, as though it were their subject. 65 In the Eucharist, according toThomas, God makes this accident exist in itself, so that it can in turn be the subject of the others. 66 The "accidental complex" that makes up the Eucharistic species in the Thomistic schema retains its natural properties because of this metaphysical structure, such that these elements can corrupt, 67 be burned, 68 and even nourish. 69 It is precisely on this very issue of the species and the physical presence of Christ in the Eucharist that the critical difference between the Eucharistic systems of Thomas and Guitmund become clear. According to Thomas, in consonance with Guitmund, it requires faith to discern the presence of Christ in the Eucharist, both for the merit of the faithful, and in order to protect the mystery from the derision of the unfaithful. 70 Likewise, Thomas asserts that there is no deception in the sacrament, since the accidents that are discerned by the senses are truly present. 71 Guitmund, however, finds a certain level of deception, which, although not in the sacrament, remains nonetheless in the bodily eye. According to Guitmund's theology, then, one can perceive Christ's presence only by faith: the species are real, for there is a change in the substance, such that what was once bread 63 SI'h m, q. 77, a. 1. Cf. Guitmund, De corporis et sanguinis Christi 3.28. srh m, q. 77, a. t. 65 SI'h m, q. 77, a. 2. 64 66 SI'h m, q. 77, a. 1, ad 1. It would appear from this that, in the theology of St. Thomas, the tactile experience of the communicant (i.e., that which is felt when the Eucharist is chewed by the teeth) is the physical encounter with this accident. 67 SI'h m, q. 77, a. 4. 68 SI'h Ill, q. 77, a. 5. 69 SI'h m, q. 77, a. 6. 70 SI'h Ill, q. 75, a. 5. 71 Ibid., ad. 2. 596 MARK G. VAILLANCOURT still retains the likeness to bread, but is bread only in "appearance." The "accidents" themselves, however, are always the "prior accidents" of the bread, which God wills that they should "manifest their own qualities." The reality for Guitmund, then, is not bread, but the body of Christ. Thomas, on the other hand, makes an all-important distinction, namely, that the proper object of the bodily eyes are the external species, whereas the proper object of the intellect, or the eye of the mind, is the substance. Therefore, although what the mind intuits by faith is really present, what the eye sees is likewise really there. 72 The above comparison reveals the following: for Guitmund, the species are real, but they belong to the glorified body of Christ and have been evacuated by the change in substance of their natural properties, so that they can neither corrode nor give nutrition. This fact comes from the very action of the substantial change at the consecration itself, wherein Christ changes the bread and wine into his own body and blood in a way that he completely takes over their former reality and makes it his own. Bread is no longer bread, but the body of Christ, and, in a similar way, wine becomes the blood of Christ. Understood in this way, it is not correct to speak of the "accidents of bread and wine" since their former reality has passed away. Instead, Guitmund refers to the "accidents of the prior essence of bread and wine," that is, the "accidents" of the former reality, for their new reality is the speciesdomini. Thus, the glorified body, as it relates to the species themselves, imparts existence to them and is contacted in an "unmediated way" in them, and the accidents of the "prior essence" of bread and wine, rather than inhering in nothing, instead inhere in the species domini itself-the hallmark of n Ibid. Cf. Guitmund, De corporiset sanguinisChristi1.22, where he says (speaking about the apparent division in the host), "Therefore, although the host is thought to be broken by violence, nevertheless what Christ himself wills must be believed, and not what the carnal senses judge. Therefore, just as after the fraction of the host, single pieces seem less than the whole host, so also in all those Masses the body of the Lord appears to be less than he is in heaven. But this whole perception is only according to the senses, which just as they are often deceived in many other things, are always deceived in this one. But if the eye of flesh cannot perceive this, is this any reason to extinguish the eye of the mind?" GIBTMUND OF AVERSA AND EUCHARISTIC THEOLOGY 597 Guitmund's realism. 73 For Thomas, however, the accidents are real, but there is a "quasi-separation," since they inhere in nothing, that is, in no proper subject. Hence in Thomas's system, the accidents share the natural properties of bread and wine, with the result that they can corrode and give nutrition. Because of this quasi-separation, the accidents also lack the immediate "influence" of the glorified body that Guitmund's understanding of the real presence yields, namely, the body of Christ being chewed by the teeth, and the inability to undergo corruption. By contrast with Guitmund, Thomas is a metaphysical realist who upholds Eucharistic realism. Thomas is a realist because, unlike Guitmund, he believes that these things which seem to happen to the accidents (e.g., corruption, consumption by mice or by fire), really do happen, and they can be explained satisfactorily by the substance-accident relationship, begun with Guitmund but developed only in later theology. Guitmund, on the other hand, presents a Eucharistic realism that seems to denude the species of bread and wine of their former natural properties, and this is owing in large part to the perspective that he adopts. Guitmund, unlike Thomas, takes as his point of departure an understanding of the real presence that makes the body of Christ on the altar identical with the glorified body of Christ in heaven, and then reconciles that view with the apparent contradictions that have been observed in the species. Thomas, on the other hand, accepts changes to the accidents as actual changes, and then, by a process of metaphysical reasoning, works his way inward to that same understanding of the real presence that calls for an identity between the body of Christ on the altar and the body born of the Virgin. B) Conclusions The fundamental difference between the Eucharistic theologies of Guitmund and Thomas, therefore, is that Guitmund's realism 73 This is my own interpretation of Guitmund's doctrine of the substance-accident distinction, which allows the "accidents of the prior essence of bread and wine" to manifest their own proper qualities in a way that is acceptable to the testimony of the senses. 598 MARK G. VAILLANCOURT extends to the Eucharistic species themselves, which makes them what I have described as the species domini. This theological perspective has been characterized by some as "ultra-realist, " 74 and constitutes a position that seems to undermine the sacramental character of the Eucharist. This article has shown that this characterization of Guitmund's theology is inaccurate, and that the difference between Thomas and Guitmund on this point is more a matter of theological perspective than of doctrinal faith. Guitmund, as mentioned above, begins his theological investigation with the truth of the real presence, and works his way outward to the objective nature of the sacramental species. Thomas, on the other hand, begins his theological study with the objective nature of the Eucharistic species. Combining the substance-accident distinction with an Aristotelian philosophy of nature, Thomas reaches a conclusion that does not reject that realism, but instead only moderates it, as the following illustration will demonstrate. For Guitmund, the body of Christ is chewed (attert) by the faithful in the reception of holy communion, and that same body is broken