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
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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