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