METAPHYSICS
BOOK VIISUBSTANCE
CONTENTS
LESSON 1
The Primacy of Substance. Its Priority to Accidents
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560. The term being is used in many senses, as we have explained in our discussions on the different meanings of words (435). For in one sense it signifies the whatness of a thing and this particular thing; and in another sense it signifies of what sort a thing is or how much or any one of the other things which are predicated in this way. But of all the senses in which being is used, it is evident that the first of these is the whatness of a thing, which indicates substance.
561. For when we state of what sort a thing is, we say that it is good or evil, and not that it is three cubits long or a man; but when we state what a thing is, we do not say that it is white or black or three cubits long, but that it is a man or a god. And other things are called beings because they belong to such a being; for some are qualities of it, others quantities, others affections, and so on.
562. Hence one may even be puzzled whether each of the following terms, namely, to walk, to be healthy and to sit, is a being or a non-being. And it is similar in the case of other things such as these; for no one of them is fitted by nature to exist of itself or is capable of existing apart from substance. But if anything is a being, it is rather the thing that walks and sits and is healthy. Now these appear to be beings to a greater degree because there is some subject which underlies them; and this is substance and the individual, which appears in a definite category; for the term good or sitting is not used without this. Evidently then it is by reason of this that each of the other categories is a being. Hence the first kind of being, and not being of a special sort but being in an unqualified sense, will be substance.
563. Now there are several senses in which a thing is said to be first; but substance is first in every respect: in definition, in the order of knowing, and in time; for none of the other categories can exist separately, but only substance. And it is first in definition, because in the definition of each thing it is necessary to include the definition of substance. And we think that we know each thing best when we know what it is (for example, what a man is or what fire is) rather than when we know of what sort it is or how much it is or where it is; for we know each of these things only when we know what the quality or quantity is.
564. And the question which was raised formerly and is raised now and always, and which always causes difficulty, is what being is; and this is the question what substance is. For some say that it is one, and others more than one; and some say that it is limited, and others unlimited. And for this reason we must investigate chiefly and primarily and solely, as we might say, what this kind of being is.
Chapter 2
565. Now it seems that substance is found most evidently in bodies. Hence we say that animals and plants and their parts are substances, and also natural bodies, such as fire, water, earth and particular things of this kind, and all things which are either parts of these or composed of these, either of parts or of all, for example, the heaven and its parts, such as the stars, the moon and the sun. But whether these alone are substances, or other things also are, or none of these but certain other things, must be investigated.
566. Again, it seems to some that the limits of a body, such as surface, line, point and unit, are substances to a greater degree than a body or solid. And some are of the opinion that there is nothing of this sort apart from sensible substances, while others think that there are eternal substances which are more numerous and possess being to a greater degree. Thus Plato claimed that there are two kinds of substances: the separate Forms and the objects of mathematics, and a third kind: the substances of sensible bodies. And Speusippus admitted still more kinds of substances, beginning with the unit; and he posited principles for each kind of substance: one for numbers, another for continuous quantities, and still another for the soul; and by proceeding in this way he increases the kinds of substance. And some say that the separate Forms and numbers have the same nature, and that other things, such as lines and surfaces, depend on these; and so on until one comes to the substance of the heavens and sensible bodies.
567. Regarding these matters, then, it is necessary to investigate which statements are true and which are not; and what things are substances; and whether there are or are not any ‘substances in addition to sensible ones; and how these exist; and whether there is any separable substance (and if so, why and how), or whether there is no such substance apart from sensible ones. This must be done after we have first described what substance is.
COMMENTARY
1245. Having dismissed both accidental being and being which signifies the true from the principal study of this science, here the Philosopher begins to establish the truth about essential being (ens per se), which exists outside the mind and constitutes the principal object of study in this science. This is divided into two parts; for this science discusses both being as being and the first principles of being, as has been stated in Book VI (532:C 1145). Thus in the first part (560:C 1245) he establishes the truth about being; and in the second (1023:C 2-416), about the first principles of being. He does this in Book XII (“The study”).
But since being and unity accompany each other and come within the scope of the same study, as has been stated at the beginning of Book IV (301:C 548), the first part is therefore divided into two sections. In the first he establishes the truth about being as being; and in the second (814:C 1920), about unity and those attributes which naturally accompany it. He does this in Book X (“It was pointed out”).
Now essential being, which exists outside the mind, is divided in two ways, as has been stated in Book V (437:C 889); for it is divided, first, into the ten categories, and second, into the potential and the actual. Accordingly, the first part is divided into two sections. In the first he establishes the truth about being as divided into the ten categories; and in the second (742:C 1768), about being as divided into the potential and the actual. He does this in Book IX (“We have dealt”).
1246. The first part is divided again into two sections. In the first he shows that in order to establish the truth about being as divided into the ten categories, it is necessary to establish the truth about substance; and in the second (568:C 1270), he begins to do this (“The term substance”).
In regard to the first he does two things. First (560:C 1247), he shows that it is necessary to settle the issue about substance. Second (565:C 1263), he indicates the things that have to be discussed about substance (“Now it seems”).
In regard to the first he does two things. He shows that one who intends to treat being should investigate substances separately; and he does this, first, by giving an argument; and second (564:C 1260), by considering what others have been accustomed to do (“And the question”).
Hence in the first part his aim is to give the following argument. That which is the first among the kinds of being, since it is being in an unqualified sense and not being with some qualification, clearly indicates the nature of being. But substance is being of this kind. Therefore to know the nature of being it suffices to establish the truth about substance.
In regard to the first he does two things. First, he shows that substance is the first kind of being; and second (563:C 1257), he shows in what way it is said to be first (“Now there are several”). In regard to the first he does two things.
Metaphysics is about substance
1247. First, he explains his thesis. He says that the term being is used in many senses (as has been stated in Book V (885) where he distinguished the different senses in which terms of this kind are used); for (1) in one sense being signifies (a) the whatness of a thing and (b) this particular thing, i.e., substance, inasmuch as by “the whatness of a thing” is meant the essence of a substance, and by “this particular thing,” an individual substance; and the different senses of substance are reduced to these two, as has been stated in Book V (440:C 898). And in another sense (2) it signifies quality or quantity or any one of the other categories.
And since being is used in many senses, it is evident that being in the primary sense is the whatness of a thing, i.e., the being which signifies substance.
1248. For when we state (561).
Second, he proves his thesis by using the following argument: in every class of things that which exists of itself and is a being in an unqualified sense is prior to that which exists by reason of something else and is a being in a qualified sense. But substance is a being in an unqualified sense and exists of itself, whereas all classes of beings other than substance are beings in a qualified sense and exist by reason of substance. Therefore substance is the primary kind of being.
1249. He makes the minor premise clear in two ways. He does this, first, by considering the way in which we speak or make predications. He says that it is evident from this that substance is the primary kind of being, because when we state of what sort a thing is we say that it is either good or evil; for this signifies quality, which differs from substance and quantity. Now three cubits long signifies quantity and man signifies substance. Therefore when we state of what sort a thing is, we do not say that it is three cubits long or a man. And when we state what a thing is, we do not say that it is white or hot, which signify quality, or three cubits long, which signifies quantity, but we say that it is a man or a god, which signifies substance.
1250. From this it is clear that terms signifying substance express what a thing is in an unqualified sense, whereas those signifying quality do not express what a thing is in an unqualified sense, but what sort of thing it is. The same is true of quantity and the other genera.
1251. From this it is clear that substance itself is said to be a being of itself, because terms which simply signify substance designate what this thing is.
But other classes of things are said to be beings, not because they have a quiddity of themselves (as though they were beings of themselves, since they do not express what a thing is in an unqualified sense), but because “they belong to such a being,” i.e., because they have some connection with substance, which is a being of itself. For they do not signify quiddity, since some of them are clearly qualities of such a being, i.e., of substance, other quantities, other affections, or something of the sort signified by the other genera.
1252. Hence one may (562).
Second he proves the same point by means of an example. The other kinds of beings are beings only inasmuch as they are related to substance. Therefore, since other beings when signified in the abstract do not designate any connection with substance, the question can arise whether they are beings or non-beings, for example, whether to walk, to be healthy, and to sit, and any one of these things which are signified in the abstract, is a being or a non-being. And it is similar in the case of other things such as these, which are signified in the abstract, whether they designate some activity, as the foregoing do, or whether they do not, as is the case with whiteness and blackness.
1253. Now accidents signified in the abstract seem to be non-beings, because no one of them is fitted by nature to exist of itself. In fact the being of each of them consists in their existing in something else, and no one of them is capable of existing apart from substance. Therefore when they are signified in the abstract as though they were beings of themselves and separate from substance, they seem to be non-beings. The reason is that words do not signify things directly according to the mode of being which they have in reality, but indirectly according to the mode in which we understand them; for concepts are the likenesses of things, and words the likenesses of concepts, as is stated in Book I of the Peri hermenias.
1254. Moreover, even though the mode of being which accidents have is not one whereby they may exist of themselves but only in something else, still the intellect can understand them as though they existed of themselves; for it is capable by nature of separating things which are united in reality. Hence abstract names of accidents signify beings which inhere in something else, although they do not signify them as inhering. And non-beings would be signified by names of this kind, granted that they would not inhere in something else.
1255. Further, since these accidents signified in the abstract appear to be non-beings, it seems rather to be the concrete names of accidents that signify beings. And “if anything is a being,” it seems rather to be “the thing that walks and sits and is healthy,” because some subject is determined by them by reason of the very meaning of the term, inasmuch as they designate something connected with a subject. Now this subject is substance. Therefore every term of this kind which signifies an accident in the concrete “appears in a definite category,” i.e., it seems to involve the category of substance, not in such a way that the category of substance is a part of the meaning of such terms (for white in the categorical sense indicates quality alone), but so that terms of this sort signify accidents as inhering in a substance. And we do not use the terms “good or sitting without this,” i.e., without substance; for an accident signifies something connected with substance.
1256. Again, since accidents do not seem to be beings insofar as they are signified in themselves, but only insofar as they are signified in connection with substance, evidently it is by reason of this that each of the other beings is a being. And from this it also appears that substance is “the first kind of being and being in an unqualified sense and not being of a special sort,” i.e., with some qualification, as is the case with accidents; for to be white is not to be in an unqualified sense but with some qualification. This is clear from the fact that when a thing begins to be white we do not say that it begins to be in an unqualified sense, but that it begins to be white. For when Socrates begins to be a man, he is said to begin to be in an unqualified sense. Hence it is obvious that being a man signifies being in an unqualified sense, but that being white signifies being with some qualification.
1257. Now there are several (563).
Here he shows in what respect substance is said to be first. He says that, since the term first is used in several senses, as has been explained in Book V (936), then substance is the first of all beings in three respects: in the order of (1) knowing, in (2) definition, and in (3) time.
(3) He proves that it is first in time by this argument: none of the other categories is capable of existing apart from substance, but substance alone is capable of existing apart from the others; for no accident is found without a substance, but some substance is found without an accident. Thus it is clear that an accident does not exist whenever a substance does, but the reverse is true; and for this reason substance is prior in time.
1258. (2) It is also evident that it is first in definition, because in the definition of any accident it is necessary to include the definition of substance; for just as nose is given in the definition of snub, so too the proper subject of any accident is given in the definition of that accident. Hence just as animal is prior to man in definition, because the definition of animal is given in that of man, in a similar fashion substance is prior to accidents in definition.
1259. (1) It is evident too that substance is first in the order of knowing, for that is first in the order of knowing which is better known and explains a thing better. Now each thing is better known when its substance is known rather than when its quality or quantity is known; for we think we know each thing best when we know what man is or what fire is, rather than when we know of what sort it is or how much it is or where it is or when we know it according to any of the other categories. For this reason too we think that we know each of the things contained in the categories of accidents when we know what each is; for example, when we know what being this sort of thing is, we know quality; and when we know what being how much is, we know quantity. For just as the other categories have being only insofar as they inhere in a substance, in a similar way they can be known only insofar as they share to some extent in the mode according to which substance is known, and this is to know the whatness of a thing.
1260. And the question (564).
Here he proves the same point, namely, that it is necessary to treat substance separately, by considering what other philosophers have been accustomed to do. He says that when one raises the question what being is (and this is a question which has always caused difficulty for philosophers both “formerly,” i.e., in the past, and “now,” i.e., in the present), this is nothing else than the question or problem what the substance of things is.
1261. For some men, such as Parmenides (65:C 138) and Melissus (65:C 140), said that “this being,” i.e., substance, is one and immobile, whereas others, such as the ancient philosophers of nature, who maintained (67:C 145) that there is only one material principle of things, said that it is mobile. And they thought that matter alone is being and substance. Hence when they claimed that there is one being because there is one material principle, they obviously understood by one being, one substance. Other men maintained that there are more beings than one, namely, those who posited (67:C 145) many material principles, and consequently, many substances of things. And some of this group held that these principles are limited in number, for example, Empedocles, who posited (68:C 148) four elements; and others held that they are unlimited in number, for example, Anaxagoras, who posited (44:C go) an unlimited number of like parts, and Democritus, who posited (55:C 113) an unlimited number of indivisible bodies.
1262. If, then, the other philosophers in treating of beings paid attention to substances alone, we too should investigate “what this kind of being is,” i.e., what substance itself is. And this we must do, I say, chiefly, because this is our principal aim; and primarily, because by means of it the other kinds of being are known; and solely, as we might say, because by establishing what is true about substance by itself, one acquires a knowledge of all the other kinds of being. Thus in one sense he deals with substance separately, and in another sense not. He indicates this when he says “as we might say” or inasmuch as we might speak in this way, as we are accustomed to say of things which are not true in every respect.
1263. Now it seems (565).
Here he indicates the things that have to be discussed about substance; and in regard to this he does two things. First (565:C 1263), he gives the opinions that other men have held about substance. Second (567:C 1268), he states that it is necessary to determine which of their opinions are true (“Regarding these matters”).
In regard to the first he does two things. First (565), he indicates the things that are evident about substance. He says that substantial being is found most obviously in bodies. Thus we say that animals and plants and their parts are substances, and also natural bodies such as fire, earth, water, “and particular things of this kind,” i.e., such elemental bodies as earth and fire, according to the opinion of Heraclitus (42:C 87), and other intermediate entities, according to the opinions of others. We also say that all parts of the elements are substances, as well as the bodies composed of the elements, whether of some of the elements, as particular compounds, or “of all the elements,” i.e., the whole of the various elements, as this whole sphere of active and passive beings; and as we also say that “a heaven,” which is a natural body distinct from the elements, is a substance, and also its parts, such as the stars, the moon and the sun.
1264. But whether these sensible substances are the only substances, as the ancient philosophers of nature claimed, or whether there are also some substances which differ from these, as the Platonists claimed, or whether these too are not substances but only certain things which differ from these, must be investigated.
1265. Again, it seems (566).
Second, he describes the philosophers’ opinions about those substances which are not evident. He says that it seems to some philosophers that the limits of bodies are the substances of things, i.e., that surface, line, point and unit are substances to a greater degree than a body or solid. And those who held this opinion differed in their views; because some, the Pythagoreans, thought that no limits of this kind are separate from sensible bodies, while others thought that there are certain eternal beings which are separate from and more numerous than sensible things and have being to a greater degree. I say “have being to a greater degree,” because they are incorruptible and immobile, whereas sensible bodies are corruptible and mobile; and “more numerous,” because while sensible bodies belong only to one order, these separate beings belong to two, inasmuch as “Plato claimed that there are two kinds of separate substances,” or two orders of separate substances, namely, the separate Forms or Ideas and the objects of mathematics; and he also posited a third order—the substances of sensible bodies.
1266. But Speusippus, who was Plato’s nephew and his successor, posited many orders of substances, and in each order he also began with the unit, which he posited as the principle in each order of substance. But he posited one kind of unit as the principle of numbers, which he claimed to be the first substances after the Forms, and another as the principle of continuous quantities, which he claimed to be second substances; and finally he posited the substance of the soul. Hence by proceeding in this way he extended the order of substances right down to corruptible bodies.
1267. But some thinkers differed from Plato and Speusippus, because they did not distinguish between the Forms and the first order of mathematical objects, which is that of numbers. For they said that the Forms and numbers have the same nature, and that “all other things depend on these,” i.e., are related successively to numbers, namely, lines and surfaces, right down to the first substance of the heavens and the other sensible bodies which belong to this last order.
1268. Regarding these matters (567).
Here he explains what should be said about the foregoing opinions. He says that it is necessary to determine which of the above opinions are true and which are not; and what things are substances; and whether the objects of mathematics and the separate Forms are substances in addition to sensible ones, or not; and if they are substances, what mode of being they have; and if they are not substances in addition to sensible ones, whether there is any other separate substance, and [if so], why and how; or whether there is no substance in addition to sensible substances.
1269. For he will settle this issue below and in Book XII (1055:C 2488) of this work. Yet before this is done it is first necessary to posit and explain what it is that constitutes the substance of these sensible bodies in which substance is clearly found. He does this in the present book (568:C 1270) and in Book VIII (696:C 1687), which follows.
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Different meanings of substance
1281. And from this point (571).
1285. And by matter I mean (572).
1294. Yet that substance (574).
1299. Since we have established (576).
1305. And he says “often” because sometimes the same things are more knowable both to us and by nature, for example, the objects of mathematics, which abstract from sensible matter. Hence in such cases one always proceeds from things which are more knowable by nature, because the same things are more knowable to us. And while those things which are more knowable to us are only slightly knowable by nature, still from things of the kind which are only slightly knowable by nature (although they are more knowable to the one learning), one must attempt to know the things which are “wholly,” i.e., universally and perfectly, knowable, by advancing to a knowledge of such things by way of those which are only slightly knowable by nature, as has already been explained.
What Essence is. The Things to Which It Belongs
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1315. Now since there are (580).
1318. But neither is this (581).
1330. And, second, this occurs when a more meaningful phrase is used to explain a simple term; for example, a when the phrase lover of wisdom is taken to explain the term philosopher. And this is what he means when he says “or in place of a simple term,” as if in order to explain a simple term one might take “a more definite one.” Yet such a concept will not be a definition, nor will the thing signified by it be an essence.
The Analogous Character of Definition. Its Applicability to Accidents
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1335. Therefore it is also (583).
1339. Now it is evident (584).
1342. Now if one denies (585).
1351. But this is hidden (587).
1355. In bringing his discussion to a close he draws the conclusion which follows as obvious, namely, that a definition, which is the concept of a thing’s essence and the essence itself, belongs to substances alone, just as the first solution maintained. Or substances are defined in a primary and unqualified sense, and accidents in a secondary and qualified sense, as has been stated in the second solution.
The Relation of Essence to Thing in Essential and in Accidental Predication
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1372. But it is not true (594).
1373. Now the absurdity (595).
1376. Again, if they are (596).
1377. Moreover, it is evident (597).
Distinction between abstract and concrete essence
1380. Moreover, if there is some thing in which no accident is present, then this thing the abstract must differ in no way from the concrete. This is most evident in the case of God. [N.B.]
Becoming-by Nature, by Art, and by Chance. The Source and Subject of Becoming
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600. Now natural generations are those which come about by nature.
1385. Now natural generations (600).
1386. And that from which (601).
1394. But the other kinds (604).
1406. Health comes about (606).
1408. Now of generations (607).
1412. Hence, as is said (609).
1416. But in some cases the privation is not evident and is nameless; for example, the privation of any particular figure in bronze does not have a name, and neither does the privation of house in the stones and timbers. Therefore we use the term matter simultaneously to designate both the matter and the privation. Hence just as we say in the one case that a healthy person comes from a sick one, so too we say in the other case that a statue comes from bronze, and a house from stones and timbers. And for this reason, too, just as in the one case the thing that comes to be from something taken as a privation is not predicated of the subject, because we do not say that a healthy person is a sick one, neither do we say in the other case that a statue is wood; but the abstract term is predicated concretely by saying that it is not wood but wooden, not bronze but brazen, not stone but of stone. And similarly a house is not bricks but of bricks. For if someone were to examine the question carefully, he would not say in an unqualified sense either that the statue conics froin wood or the house from bricks, litit that it conics to be as a result of some change. For the former comes from the latter taken as something which is changed and not as something which remains, because bronze does not stay formless while it is being made into a statue, nor do bricks stay unbonded while a house is being built. And for this reason “we speak in this way,” i.e., Predication is made in this way, in the cases mentioned above.
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1427. The problem, then (613).
1432. And in some cases (614).
1435. “And every form” which is in the matter, namely, “in this flesh and these bones,” is some singular thing, such as Callias or Socrates. And this form which causes a likeness in species in the process of generation, also differs numerically from the form of the thing generated because of difference in matter; for material diversity is the principle of diversity among individuals in the same species; for the matter containing the form of the man who begets and that of the man who is begotten are different. But both forms are the same in species; for the form itself is “indivisible,” i.e., it does not differ in the one who generates and in the one who is generated. Hence it follows that it is not necessary to posit a form apart from singular things, which causes the form in the things generated, as the Platonists claimed.
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1443. And it is evident (617).
1458. Now it is not only (620).
1459. But from these remarks (621).
He shows what the difference is between substance and accidents. He says that we must take this characteristic to be a property of substance as compared with accidents, namely, that when a substance is generated there must always exist another substance which causes its generation; for example, in the case of animals generated from seed, if an animal is generated, another animal which generates it must pre-exist. But in the case of quantity and quality and the other accidents it is not necessary that these pre-exist actually but only potentially, and this is the material principle and subject of motion. For the active principle of a substance can only be a substance; but the active principle of accidents can be something which is not an accident, namely, a substance.
Parts of the Quiddity and Definition. Priority of Parts to Whole
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1464. Further, if parts (623).
1481. Moreover it must be noted that the name of the species is not predicated of the individual in the sense that it refers the common nature of the species to it, but it is predicated of it equivocally, if it is predicated in such a way that it signifies this individual as such; for if I say “Socrates is a man,” the word man is not used equivocally. But if this word man is imposed as a proper name on some individual man, it will signify both the species and this individual equivocally. It is similar in the case of the word circle, which signifies the species and this particular circle equivocally.
Priority of Parts to Whole and Their Role in Definition
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1492. But only the parts (627).
1500. If, however, the other opinion is true, namely, that the soul is different from the animal, it will be necessary both to say and not to say that the parts are prior to the whole, as was previously established; because with regard to this opinion he instructed us above to distinguish not only between matter and form, but also between common matter, which is part of the species, and individual matter, which is part of the individual.
What Forms Are Parts of the Species and of the Intelligible Expression
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1503. Therefore in the case (630).
1513. And it is possible (633).
1514. However, in this way (634).
1520. And with regard to (636).
1536. Now even though man does not exist apart from singular men in reality, nevertheless man is separable in his intelligible expression, which pertains to the domain of logic. Therefore, above (578:C 1308), where he considered essence from the viewpoint of logic, he did not exclude material substances from being their own essence; for man as a universal is the same as his essence, logically speaking. And now having come to natural principles, which are matter and form, and having shown how they are related to the universal in different ways, and to the particular thing which subsists in nature, he now excludes material substances, which exist in reality, from the statement which he had made above to the effect that the essence of a thing is the same as the thing of which it is the essence. Moreover it follows that those substances which are subsistent forms alone do not have any principle individuating them which is extrinsic to the intelligible expression (of the thing or of the species) which signifies their whatness. Concerning these things, then, it is true that each is unqualifiedly the same as its own essence.
The Unity of the Thing Defined and of the Definition
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1541. But all the elements (643).
1542. Now it is necessary (644).
1560. But if the division (647).
1561. Hence it is evident (648).
1562. Moreover, this will be evident (649).
1565. Lastly he brings his discussion to a close with a summary. He says that with regard to definitions which are based on the divisions of genera into differences and of difference into differences, these points should constitute a preliminary statement “of the kinds of things they are”: they are composed of essential predicates, they contain in themselves the parts of the specific form, and each is also a unity. He says “preliminary” because in the following discussions certain points are established about definitions and quiddities.
Rejection of Universals as Substances
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656. And if this is not the case, many absurdities will follow, among them the third man (107).
1575. Furthermore, substance (652).
1577. But while a universal (653).
1579. Furthermore, it is (654).
1584. Furthermore, Socrates (655).
1588. Furthermore, it is (657).
1591. Now the answer to the above difficulty is that in one sense substance is composed of substances and in another it is not. But this will become clearer from the following discussions in this book (669:C 1606) and in Book VIII; for substance is composed of potential substances, not of actual ones.
Rejection of Universals as Separate Substances
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662. And why will this animal not exist apart from itself?
1593. For it is evident (66o).
1594. If, then, the animal (661).
Then he points out the absurdities which follow from this position; and there are three of them.
1596. Again, if it participates (663).
1600. But what will happen (664).
1601. Again, animal-in-itself (665).
1602. Further, all the things (666).
Then he rejects the foregoing position by comparing genera to singular things. He says that the same absurd conclusions which face those who claim that genera and universals are the substances of species, also face those who hold genera to be the substances of singular sensible things (and there are even more absurd conclusions than these). And their claim is absurd inasmuch as the nature of a genus is more removed from sensible, material singulars than from intelligible and immaterial species. Hence, if it is impossible that this should be the case, it is clear that there is no Idea of these sensible things, as the Platonists said.
Three Arguments Why Ideas Cannot be Defined
ARISTOTLE’S TEXT Chapter 15: 1039b 20-1040b 4
673. Again, because they are prior to being itself, they will therefore not be destroyed.
1613. And it is necessary (670).
1624. It will, moreover (675).
1627. Therefore, as was stated (676).
1630. Hence none of those who posit Ideas reveal “any fixed limits,” i.e., definition, of an Idea. For if they were to give the definition of some Idea, as that of man or horse, it would become evident, in opposition to those attempting to define an Idea, that what has just been said is true: an Idea is indefinable.
Composition in Sensible Substances. Non-Substantiality of Unity and Being. Plato’s Doctrine of Ideas
ARISTOTLE’S TEXT Chapter 16: 1040b 5-1041a 5
1641. Furthermore, unity (680).
1647. Last of all he draws the conclusion at which he aims throughout the whole chapter. He says that two things are evident from what has been said: first, that no universal predicates are substances; and second, that no substance consists of substances having actual existence, or according to another text, “one substance is not composed of substances.” For he has shown above (655:C 1584-5) that substance in the sense of this particular thing does not consist of common attributes which signify of what sort a thing is.
The Role of Nature and Substance in the Sense of Essence as Principle and Cause
ARISTOTLE’S TEXT Chapter 17: 1041a 6-1041b 33
1675. Therefore, if something (688).
1678. Now it would seem (689).