BOOK I: THE PRINCIPLES OF NATURAL THINGS
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The matter and the subject of natural science
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The opinions of the ancient philosophers about the principles of nature and of beings
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The assertion of Parmenides and Melissus that all things are one being
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Later philosophers' same error: that the one and the many could not in any way concur
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The argument of Melissus is answered
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The argument of Parmenides is answered
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He disproves the position of those who said that non-being is something
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Opinions of physicists who spoke of the principles as natural philosophers
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The opinion of Anaxagoras that the principles are infinite
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Opinions of the ancients concerning the contrariety of the first principles
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There are three principles of natural things, no more, no less
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In every coming-to-be three principles are to be found: subject, terminus of production, its opposite
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There are two per se principles (matter & form) and one per accidens principle (privation)
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Problems and errors of the ancients springing from ignorance of matter are resolved
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Matter is distinguished from privation; it is neither generable nor corruptible per se
BOOK II: THE PRINCIPLES OF NATURAL SCIENCE
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What is nature? What things have a nature? What things are 'according to nature'?
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Nature is both matter and form, but primarily form
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How physics and mathematics differ in their consideration of the same thing
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Physics considers not only matter but also every form existing in matter
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Physics determines what the causes are and how many species of causes there are
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The different modes of causing, and what is consequent upon these modes
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Opinions about fortune and chance
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Distinctions among effects and causes; a definition of fortune
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What ancient philosophers and the common man say about fortune
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The difference between chance and fortune; the causes are four, no more, no less
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Natural philosophy demonstrates from all four causes
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Those who deny that nature acts for an end
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That nature acts for an end
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That this is so from evidence by which some conclude to the opposite position
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How necessity is found in natural things
BOOK III: MOBILE BEING IN COMMON
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Need for defining motion and things relating to it
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Definition of motion
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Justification of the definition of motion
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Action and passion are the same motion
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Motion as from the agent and in the patient
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Early opinions of the infinite
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Arguments for and against the infinite
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No sensible infinite
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No infinite body shown absolutely
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The infinite as existing in potency
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Definition of the infinite
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Explanations in the light of the definition of the infinite
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Solution of arguments in favor of existence of the infinite
BOOK IV: PLACE, VOID AND TIME
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Place, its existence
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Six dialectical reasons showing place does not exist
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Is place matter or form?
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Prerequisites to determining the truth about place
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Necessary previous notions for the definition of place
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The definition of place
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The definition of place (n. 472)
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The definition of place is used to solve the original problems; the properties of place are justified
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The void— reasons for and against
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The meaning of “void”—refutation of those positing the void
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From motion there is known to be no separated void
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From the fastness and slowness of motion, a separated void is disproved
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Non-existence of the void from the void itself
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There is no void within bodies
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Does time exist., and is there the same “now” in the whole of time?
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Dialectical inquiring into what time is, and how it is related to motion
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The definition of time, given and explained
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How the same “now” is or is not in a whole time
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From the definition of time certain things are
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How things are, and are not, in time
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The meaning or “now” and related terms
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How corruption is attributed to time; All motion and changes are in time
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The Problems are solved as to the existence of unity of time
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BOOK V: DIVISION OF MOTION INTO ITS SPECIES
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Per se notion is distinguished from per accidens
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The species of change; which one is motion
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Per se motion is not in other predicaments than quantity, quality, and place
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Motion is solely in quantity, quality, and place
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The definitions of “in contact,” “consecutive,” “continuous”
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Generic, specific, and numerical unity of motion
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Numerical unity of motion (continued)
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Contrariety of motions
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Contrariety of rest to motion, and of rest to rest
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Certain difficulties are resolved
BOOK VI: DIVISION OF MOTION INTO QUANTITATIVE PARTS
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No continuum is composed of indivisibles
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Motion composed of indivisibles follows a continuum composed of indivisibles—impossibility of the former
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Time follows magnitude in divisibility and conversely
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Proof that no continuum is indivisible
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The “now” as the indivisible of time. Everything that moves is divisible. Difficulties solved
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Two manners of dividing motion. What things are co-divided with motion
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The time in which something is first changed is indivisible. How a first may, and may not, be taken in motion
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Before every “being moved” is a “having been moved,” and conversely
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Finite and infinite are found simultaneously in magnitude, time, mobile, and motion
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Things pertaining to the division of “coming to a stand” and “rest”
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Zeno's arguments excluding all motion are resolved
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What is indivisible according to quantity is moved only per accidens
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By nature, no change is infinite. How motion may be infinite in time
BOOK VII: EXISTENCE OF THE FIRST MOTION AND FIRST MOVER
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It is necessary that whatever is moved, be moved by another
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No process to infinity in movers and moved. One must arrive at a first mover unmoved
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In local motion, mover and moved must be together
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It is shown in alteration, and growth and decrease, that mover and moved are together
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Alteration is not found in the first species of quality (form and figure), nor in the first (habit and disposition)
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No alteration in the first species of quality as to habits of the soul
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The comparing of motions: what is required
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Which motions may be compared
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Rules for the comparison of motions
BOOK VIII: NATURE OF THE FIRST MOTION AND FIRST MOVER
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Opinions on the beginning and end of motion
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Arguments for the eternity of motion
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Arguments against Anaxagoras and Empedocles
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Solution of arguments concluding motion was not always
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Five ways in which things may be disposed with respect to motion or rest. Two first excluded
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A third member of the division is rejected
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Universally, whatever is moved, is moved by another
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What moves the heavy and the light. Everything moved, moved by another
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No process to infinity in movers. Not every mover need be moved
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In that which moves itself, one part moves and the other is moved
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How the parts of something moving itself are related
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The first mover is not moved, but is one and perpetual
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The first mover is perpetual and wholly unmoved, as shown from moving principles
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Many reasons why local motion is the first motion
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Local motion alone can be continuous and perpetual
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No change of place can be continuous and perpetual, except the circular
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Certain doubts
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Dialectical reasons to show reflex motion is not continuous
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Proper reasons why circular motion can be continuous, and why it is the first so
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Dialectical reasons why circular motion is continuous and first. Confirmation from the ancients
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Limitations of a finite mover
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Diversity of movers annuls continuity of motion
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The first mover can have no magnitude
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