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By intermixture? But (1) not everything is capable of intermixture, and (2)
that which is produced by it is different from its elements, and on this view
the one will not remain separate or a distinct entity; but they want it to be so.
By juxtaposition, like a syllable? But then (1) the elements must have
position; and (2) he who thinks of number will be able to think of the unity
and the plurality apart; number then will be this-a unit and plurality, or the
one and the unequal.
Again, coming from certain things means in one sense that these are still to
be found in the product, and in another that they are not; which sense does
number come from these elements? Only things that are generated can come
from elements which are present in them. Does number come, then, from its
elements as from seed? But nothing can be excreted from that which is
indivisible. Does it come from its contrary, its contrary not persisting? But all
things that come in this way come also from something else which does
persist. Since, then, one thinker places the 1 as contrary to plurality, and
another places it as contrary to the unequal, treating the 1 as equal, number
must be being treated as coming from contraries. There is, then, something
else that persists, from which and from one contrary the compound is or has
come to be. Again, why in the world do the other things that come from
contraries, or that have contraries, perish (even when all of the contrary is
used to produce them), while number does not? Nothing is said about this. Yet
whether present or not present in the compound the contrary destroys it, e.g.
‘strife’ destroys the ‘mixture’ (yet it should not; for it is not to that that is
contrary).
Once more, it has not been determined at all in which way numbers are the
causes of substances and of being-whether (1) as boundaries (as points are of
spatial magnitudes). This is how Eurytus decided what was the number of
what (e.g. one of man and another of horse), viz. by imitating the figures of
living things with pebbles, as some people bring numbers into the forms of
triangle and square. Or (2) is it because harmony is a ratio of numbers, and so
is man and everything else? But how are the attributes-white and sweet and
hot-numbers? Evidently it is not the numbers that are the essence or the
causes of the form; for the ratio is the essence, while the number the causes of
the form; for the ratio is the essence, while the number is the matter. E.g. the
essence of flesh or bone is number only in this way, ‘three parts of fire and
two of earth’. And a number, whatever number it is, is always a number of
certain things, either of parts of fire or earth or of units; but the essence is that
there is so much of one thing to so much of another in the mixture; and this is
no longer a number but a ratio of mixture of numbers, whether these are
corporeal or of any other kind.
1745
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Buch The Complete Aristotle"
The Complete Aristotle
- Titel
- The Complete Aristotle
- Autor
- Aristotle
- Datum
- ~322 B.C.
- Sprache
- englisch
- Lizenz
- PD
- Abmessungen
- 21.0 x 29.7 cm
- Seiten
- 2328
- Schlagwörter
- Philosophy, Antique, Philosophie, Antike, Dialogues, Metaphysik, Metaphysics, Ideologie, Ideology, Englisch
- Kategorien
- Geisteswissenschaften
- International
Inhaltsverzeichnis
- 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