Book, Paragraph
1 I, 1 | in any department, have principles, conditions, or elements,
2 I, 1 | primary conditions or first principles, and have carried our analysis
3 I, 1 | determine what relates to its principles.~The natural way of doing
4 I, 1 | masses, the elements and principles of which become known to
5 I, 2 | 2~The principles in question must be either (
6 I, 2 | say to one who denies the principles of his science-this being
7 I, 2 | all-so a man investigating principles cannot argue with one who
8 I, 2 | are drawn falsely from the principles of the science: it is not
9 I, 4 | theory of Anaxagoras that the principles are infinite in multitude
10 I, 4 | unknowable in quality. But the principles in question are infinite
11 I, 4 | smaller and finite number of principles, as Empedocles does.~
12 I, 5 | in making the contraries principles, both those who describe
13 I, 5 | Parmenides treats hot and cold as principles under the names of fire
14 I, 5 | the contraries with the principles. And with good reason. For
15 I, 5 | with good reason. For first principles must not be derived from
16 I, 5 | and what they call their principles, with the contraries, giving
17 I, 5 | way mentioned.~Hence their principles are in one sense the same,
18 I, 5 | It is clear then that our principles must be contraries.~
19 I, 6 | question is whether the principles are two or three or more
20 I, 6 | finite number, such as the principles of Empedocles, is better
21 I, 6 | professes to obtain from his principles all that Anaxagoras obtains
22 I, 6 | obtains from his innumerable principles. Lastly, some contraries
23 I, 6 | white and black-whereas the principles must always remain principles.~
24 I, 6 | principles must always remain principles.~This will suffice to show
25 I, 6 | suffice to show that the principles are neither one nor innumerable.~
26 I, 6 | excess and defect are the principles of things) would appear
27 I, 6 | genus of being, so that the principles can differ only as prior
28 I, 7 | there are conditions and principles which constitute natural
29 I, 7 | which we must declare the principles to be two, and a sense in
30 I, 7 | itself not a contrary. The principles therefore are, in a way,
31 I, 7 | stated the number of the principles of natural objects which
32 I, 7 | only the contraries were principles, and later that a substratum
33 I, 7 | indispensable, and that the principles were three; our last statement
34 I, 7 | the mutual relation of the principles, and the nature of the substratum.
35 I, 7 | yet clear. But that the principles are three, and in what sense,
36 I, 7 | number and the nature of the principles.~
37 I, 9 | that there are two other principles, the one contrary to it,
38 I, 9 | establish that there are principles and what they are and how
39 II, 3 | order that, knowing their principles, we may try to refer to
40 II, 3 | may try to refer to these principles each of our problems.~In
41 II, 7 | step of the series.~Now the principles which cause motion in a
42 III, 2 | something indefinite, and the principles in the second column are
43 III, 5 | more in accordance with principles appropriate to physics,
44 VIII, 1 | this truth, whereas first principles are eternal and have no
45 VIII, 3 | objections that involve first principles do not affect the mathematician-and
46 VIII, 6 | suppose it possible that some principles that are unmoved but capable
47 VIII, 6 | cannot be true of all such principles, since there must clearly
48 VIII, 6 | of the perishing of some principles that are unmoved but impart
49 VIII, 6 | by considering again the principles operative in movents. Now
50 VIII, 6 | belongs also to certain first principles of heavenly bodies, of all
51 VIII, 9 | they all assign their first principles of motion to things that
52 VIII, 10| since these are the first principles from which a sphere is derived.
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