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to the unit than to the 2; therefore each of the units in 2 must be prior to the 2.
But they deny this; at least they generate the 2 first. Again, if the 2-itself is a
unity and the 3-itself is one also, both form a 2. From what, then, is this 2
produced?
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9
Since there is not contact in numbers, but succession, viz. between the units
between which there is nothing, e.g. between those in 2 or in 3 one might ask
whether these succeed the 1-itself or not, and whether, of the terms that
succeed it, 2 or either of the units in 2 is prior.
Similar difficulties occur with regard to the classes of things posterior to
number,-the line, the plane, and the solid. For some construct these out of the
species of the âgreat and smallâ; e.g. lines from the âlong and shortâ, planes
from the âbroad and narrowâ, masses from the âdeep and shallowâ; which are
species of the âgreat and smallâ. And the originative principle of such things
which answers to the 1 different thinkers describe in different ways, And in
these also the impossibilities, the fictions, and the contradictions of all
probability are seen to be innumerable. For (i) geometrical classes are severed
from one another, unless the principles of these are implied in one another in
such a way that the âbroad and narrowâ is also âlong and shortâ (but if this is
so, the plane will be line and the solid a plane; again, how will angles and
figures and such things be explained?). And (ii) the same happens as in regard
to number; for âlong and shortâ, &c., are attributes of magnitude, but
magnitude does not consist of these, any more than the line consists of
âstraight and curvedâ, or solids of âsmooth and roughâ.
(All these views share a difficulty which occurs with regard to species-of-a-
genus, when one posits the universals, viz. whether it is animal-itself or
something other than animal-itself that is in the particular animal. True, if the
universal is not separable from sensible things, this will present no difficulty;
but if the 1 and the numbers are separable, as those who express these views
say, it is not easy to solve the difficulty, if one may apply the words ânot easyâ
to the impossible. For when we apprehend the unity in 2, or in general in a
number, do we apprehend a thing-itself or something else?).
Some, then, generate spatial magnitudes from matter of this sort, others
from the point âand the point is thought by them to be not 1 but something
like 1-and from other matter like plurality, but not identical with it; about
1730
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book The Complete Aristotle"
The Complete Aristotle
- Title
- The Complete Aristotle
- Author
- Aristotle
- Date
- ~322 B.C.
- Language
- English
- License
- PD
- Size
- 21.0 x 29.7 cm
- Pages
- 2328
- Keywords
- Philosophy, Antique, Philosophie, Antike, Dialogues, Metaphysik, Metaphysics, Ideologie, Ideology, Englisch
- Categories
- Geisteswissenschaften
- International
Table of contents
- Part 1; Logic (Organon) 3
- Categories 4
- On Interpretation 34
- Prior Analytics, Book I 56
- Prior Analytics, Book II 113
- Posterior Analytics, Book I 149
- Posterior Analytics, Book II 193
- Topics, Book I 218
- Topics, Book II 221
- Topics, Book III 237
- Topics, Book IV 248
- Topics, Book V 266
- Topics, Book VI 291
- Topics, Book VII 317
- Topics, Book VIII 326
- On Sophistical Refutations 348
- Part 2; Universal Physics 396
- Physics, Book I 397
- Physics, Book II 415
- Physics, Book III 432
- Physics, Book IV 449
- Physics, Book V 481
- Physics, Book VI 496
- Physics, Book VII 519
- Physics, Book VIII 533
- On the Heavens, Book I 570
- On the Heavens, Book II 599
- On the Heavens, Book III 624
- On the Heavens, Book IV 640
- On Generation and Corruption, Book I 651
- On Generation and Corruption, Book II 685
- Meteorology, Book I 707
- Meteorology, Book II 733
- Meteorology, Book III 760
- Meteorology, Book IV 773
- Part 3; Human Physics 795
- On the Soul, Book I 796
- On the Soul, Book II 815
- On the Soul, Book III 840
- On Sense and the Sensible 861
- On Memory and Reminiscence 889
- On Sleep and Sleeplessness 899
- On Dreams 909
- On Prophesying by Dreams 918
- On Longevity and the Shortness of Life 923
- On Youth, Old Age, Life and Death, and Respiration 929
- Part 4; Animal Physics 952
- The History of Animals, Book I 953
- The History of Animals, Book II translated 977
- The History of Animals, Book III 1000
- The History of Animals, Book IV 1029
- The History of Animals, Book V 1056
- The History of Animals, Book VI 1094
- The History of Animals, Book VII 1135
- The History of Animals, Book VIII 1150
- The History of Animals, Book IX 1186
- On the Parts of Animals, Book I 1234
- On the Parts of Animals, Book II 1249
- On the Parts of Animals, Book III 1281
- On the Parts of Animals, Book IV 1311
- On the Motion of Animals 1351
- On the Gait of Animals 1363
- On the Generation of Animals, Book I 1381
- On the Generation of Animals, Book II 1412
- On the Generation of Animals, Book III 1444
- On the Generation of Animals, Book IV 1469
- On the Generation of Animals, Book V 1496
- Part 5; Metaphysics 1516
- Part 6; Ethics and Politics 1748
- Nicomachean Ethics, Book I 1749
- Nicomachean Ethics, Book II 1766
- Nicomachean Ethics, Book III 1779
- Nicomachean Ethics, Book IV 1799
- Nicomachean Ethics, Book V 1817
- Nicomachean Ethics, Book VI 1836
- Nicomachean Ethics, Book VII 1851
- Nicomachean Ethics, Book VIII 1872
- Nicomachean Ethics, Book IX 1890
- Nicomachean Ethics, Book X 1907
- Politics, Book I 1925
- Politics, Book II 1943
- Politics, Book III 1970
- Politics, Book IV 1997
- Politics, Book V 2023
- Politics, Book VI 2053
- Politics, Book VII 2065
- Politics, Book VIII 2091
- The Athenian Constitution 2102
- Part 7; Aesthetic Writings 2156