Book, Paragraph

  1  II, 1  |             is most true. Hence the principles of eternal things must be
  2  II, 3  |      investigate the causes and the principles of things).~
  3 III, 1  |         some have held on the first principles, and any point besides these
  4 III, 1  |        should survey only the first principles of substance, or also the
  5 III, 1  |           of substance, or also the principles on which all men base their
  6 III, 1  |        contrary. Again (6), are the principles and elements of things the
  7 III, 1  |        Again (9) we ask whether the principles are limited in number or
  8 III, 1  |    substratum; and (10) whether the principles of perishable and of imperishable
  9 III, 1  |              12) we ask whether the principles are universal or like individual
 10 III, 2  |            science to recognize the principles if these are not contrary?~
 11 III, 2  |         things to which not all the principles pertain. For how can a principle
 12 III, 2  |           be a science of the first principles? For we are aware even now
 13 III, 2  |          are most universal and are principles of all things. And if it
 14 III, 3  |            with regard to the first principles, whether it is the genera
 15 III, 3  |            be taken as elements and principles, or rather the primary constituents
 16 III, 3  |          thought to be elements and principles of articulate sound, not
 17 III, 3  |          compounded and consist are principles; e.g. Empedocles says fire
 18 III, 3  |          these arguments, then, the principles of things would not be the
 19 III, 3  |              and the genera are the principles or starting-points of definitions,
 20 III, 3  |             genera must also be the principles of definable things. And
 21 III, 3  |            possible to describe the principles in both ways. For the formula
 22 III, 3  |           are in the highest degree principles, should one regard the first
 23 III, 3  |          the first of the genera as principles, or those which are predicated
 24 III, 3  |        always more of the nature of principles, evidently the uppermost
 25 III, 3  |     uppermost of the genera are the principles; for these are predicated
 26 III, 3  |        There will, then, be as many principles of things as there are primary
 27 III, 3  |             being and unity will be principles and substances; for these
 28 III, 3  |        genera, neither will they be principles, if the genera are the principles.
 29 III, 3  |   principles, if the genera are the principles. Again, the intermediate
 30 III, 3  |          this, the differentiae are principles even more than the genera;
 31 III, 3  |       genera; and if these also are principles, there comes to be practically
 32 III, 3  |   practically an infinite number of principles, especially if we suppose
 33 III, 3  |           of individuals seem to be principles rather than the genera.
 34 III, 3  |            these are to be taken as principles. For the principle or cause
 35 III, 3  |            be more of the nature of principles; so that the highest genera
 36 III, 3  |         highest genera would be the principles.~
 37 III, 4  |       question also about the first principles. If they are one in kind
 38 III, 4  |    numerically one, and each of the principles is one, and the principles
 39 III, 4  |          principles is one, and the principles are not as in the case of
 40 III, 4  |            is not like this but the principles of things are numerically
 41 III, 4  |            predecessors-whether the principles of perishable and those
 42 III, 4  |            For, asserting the first principles to be gods and born of gods,
 43 III, 4  |             they say, evidently the principles or causes of things cannot
 44 III, 4  |            they consist of the same principles.~Let this suffice as proof
 45 III, 4  |          proof of the fact that the principles cannot be the same. But
 46 III, 4  |          But if there are different principles, one difficulty is whether
 47 III, 4  |           follows that prior to the principles there are other principles.
 48 III, 4  |          principles there are other principles. But this is impossible,
 49 III, 4  |   perishable things exist, if their principles are to be annulled? But
 50 III, 4  |             be annulled? But if the principles are imperishable, why will
 51 III, 4  |       composed of some imperishable principles be perishable, while those
 52 III, 4  |         tried to maintain different principles; they maintain the same
 53 III, 4  |              they maintain the same principles for all things. But they
 54 III, 4  |           things which they say are principles.~(A) If we do not suppose
 55 III, 5  |             this, so that the first principles of the bodies were the first
 56 III, 5  |           the bodies were the first principles of being, the more recent
 57 III, 5  |      thought numbers were the first principles. As we said, then, if these
 58 III, 6  |           kind, so that their first principles cannot be limited in number (
 59 III, 6  |            kind, nor will the first principles of things be determinate
 60 III, 6  |            Forms exist and that the principles are one in number, not in
 61 III, 6  |             else prior to the first principles; for the potency is prior
 62 III, 6  |           questions about the first principles, but also ask whether they
 63 III, 6  |         single thing.~If, then, the principles are universals, these universal.
 64 III, 6  |             but of knowledge of the principles there must be the nature
 65 III, 6  |              they will not be other principles prior to them, namely those
 66  IV, 1  |            we are seeking the first principles and the highest causes,
 67  IV, 1  |             were seeking these same principles, it is necessary that the
 68  IV, 2  |          philosopher must grasp the principles and the causes.~Now for
 69  IV, 2  |          take for granted), and the principles stated by other thinkers
 70  IV, 3  |            to inquire also into the principles of syllogism. But he who
 71  IV, 3  |           to state the most certain principles of his subject, so that
 72  IV, 3  |           to state the most certain principles of all things. This is the
 73  IV, 3  |             the most certain of all principles, since it answers to the
 74  IV, 4  |            most indisputable of all principles.-Some indeed demand that
 75   V, 3  |         thought by some to be first principles. Now, since the so-called
 76  VI, 1  |                1~WE are seeking the principles and the causes of the things
 77  VI, 1  |           of mathematics have first principles and elements and causes,
 78  VI, 1  |     reasoning deals with causes and principles, more or less precise, all
 79  VI, 3  |                    3~That there are principles and causes which are generable
 80  VI, 4  |         consider the causes and the principles of being itself, qua being. (
 81 VII, 2  |          with the One, and assuming principles for each kind of substance,
 82 VII, 10 |           have as their constituent principles parts into which they pass
 83 VII, 10 |       Therefore these materials are principles and parts of the concrete
 84 VII, 10 |          they are neither parts nor principles. And therefore the clay
 85 VIII, 1 |          have said that the causes, principles, and elements of substances
 86 VIII, 2 | differentiae (for these will be the principles of the being of things),
 87   X, 7  |             and are therefore first principles; but the intermediates are
 88  XI, 1  |        Wisdom is a science of first principles is evident from the introductory
 89  XI, 1  |           of others about the first principles; but one might ask the question
 90  XI, 1  |           contraries, but the first principles are not contrary. If it
 91  XI, 1  |           one, to examine the first principles of demonstration? If of
 92  XI, 1  |            be said to deal with the principles which are by some called
 93  XI, 1  |            are, and to be most like principles because they are by nature;
 94  XI, 1  |            not make them genera nor principles. Further, if the simpler
 95  XI, 1  |        species might seem to be the principles, rather than the genera.
 96  XI, 1  |            the genera are more like principles; for that which involves
 97  XI, 2  |            be the most unchangeable principles, being and unity, firstly,
 98  XI, 2  |             the eternal and primary principles to be so. But if each of
 99  XI, 2  |             primary surfaces) to be principles, these at least are not
100  XI, 2  |           knowledge about the first principles, the question arises, how
101  XI, 2  |             house.~Further, are the principles the same in kind or in number?
102  XI, 4  |           philosophy to examine the principles of mathematics also. That
103  XI, 4  |      studies the attributes and the principles of the things that are,
104  XI, 7  |         Every science seeks certain principles and causes for each of its
105  XI, 8  |            there are not causes and principles of the accidental, of the
106  XI, 8  |            the reason why it is the principles, not of that which "is"
107  XI, 9  |       something indefinite, and the principles in one of the two "columns
108 XII, 1  |       inquiry is substance; for the principles and the causes we are seeking
109 XII, 1  |      substance that they sought the principles and elements and causes.
110 XII, 1  |            they tend to describe as principles and substances, owing to
111 XII, 2  |         potency. The causes and the principles, then, are three, two being
112 XII, 4  |                4~The causes and the principles of different things are
113 XII, 4  |            the question whether the principles and elements are different
114 XII, 4  |              of which these are the principles, or any unity which is produced
115 XII, 4  |          have the same elements and principles (though specifically different
116 XII, 4  |       elements, and four causes and principles; but the elements are different
117 XII, 5  |   analogically identical things are principles, i.e. actuality and potency;
118 XII, 5  |          some cannot. The proximate principles of all things are the "this"
119 XII, 5  |             we inquire what are the principles or elements of substances
120 XII, 5  |          stated, then, what are the principles of sensible things and how
121 XII, 6  |             there to seek for other principles?~
122 XII, 8  |            unmovable substances and principles also may probably be taken
123 XII, 8  |            are many men, the moving principles, of which each heaven will
124 XII, 10 |            good and the bad even as principles; yet in all things the good
125 XII, 10 |     existing things out of the same principles. Further, some make existing
126 XII, 10 |           And those who suppose two principles must suppose another, a
127 XII, 10 |          another and give different principles for each, make the substance
128 XII, 10 |         they give us many governing principles; but the world refuses to
129 XIII, 1 |             or whether they are the principles and substances of existing
130 XIII, 1 |      whether the substances and the principles of existing things are numbers
131 XIII, 4 |         came into conflict with the principles of the theory.~Again, according
132 XIII, 7 |         exist at all. For from what principles will the Ideas come? It
133 XIII, 7 |            indefinite dyad, and the principles or elements are said to
134 XIII, 7 |             elements are said to be principles and elements of number,
135 XIII, 7 |              but according to their principles it is reasonable that they
136 XIII, 7 |            these are the generating principles.~If the units, then, are
137 XIII, 8 |           assign to the originative principles, and the others to the numbers.
138 XIII, 9 |             one another, unless the principles of these are implied in
139 XIII, 9 |      identical with it; about which principles none the less the same difficulties
140 XIII, 9 |           see, if one assumed these principles, how mathematical number
141 XIII, 9 |          their hypotheses and their principles are false. And it is hard
142 XIII, 9 |    conviction); regarding the first principles and the first causes and
143 XIII, 9 |           of these are elements and principles of real things, we must
144 XIII, 10|            their elements and their principles?~If they are individual
145 XIII, 10|            is an animal.~But if the principles are universal, either the
146 XIII, 10|           is universal, so that the principles of things must also be universal
147 XIII, 10|    investigates is an a. For if the principles must be universal, what
148 XIV, 1  |         philosophers make the first principles contraries: as in natural
149 XIV, 1  |           describe rightly even the principles which they call elements,
150 XIV, 1  |            and the exceeded are the principles, and not the great and the
151 XIV, 3  |            we are investigating the principles at work in unchangeable
152 XIV, 4  |            how the elements and the principles are related to the good
153 XIV, 4  |        because they make contraries principles, partly because they make
154 XIV, 5  |            the good among the first principles and to put it among them
155 XIV, 5  |             this way, evidently the principles are not being correctly
156 XIV, 5  |        correctly if he compares the principles of the universe to that
157 XIV, 5  |           is also true of the first principles of reality, so that the
158 XIV, 5  |           of animals and plants the principles from which these come are
159 XIV, 5  |         number comes from its first principles.~By intermixture? But (1)
160 XIV, 6  |           in reference to the first principles. In a sense, however, they
161 XIV, 6  |         that they are not the first principles.~—THE END.~ ~