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indivisible, but as a solid. For evidently the properties which would have
belonged to him even if perchance he had not been indivisible, can belong to
him even apart from these attributes. Thus, then, geometers speak correctly;
they talk about existing things, and their subjects do exist; for being has two
forms-it exists not only in complete reality but also materially.
Now since the good and the beautiful are different (for the former always
implies conduct as its subject, while the beautiful is found also in motionless
things), those who assert that the mathematical sciences say nothing of the
beautiful or the good are in error. For these sciences say and prove a great
deal about them; if they do not expressly mention them, but prove attributes
which are their results or their definitions, it is not true to say that they tell us
nothing about them. The chief forms of beauty are order and symmetry and
definiteness, which the mathematical sciences demonstrate in a special
degree. And since these (e.g. order and definiteness) are obviously causes of
many things, evidently these sciences must treat this sort of causative
principle also (i.e. the beautiful) as in some sense a cause. But we shall speak
more plainly elsewhere about these matters.
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4
So much then for the objects of mathematics; we have said that they exist
and in what sense they exist, and in what sense they are prior and in what
sense not prior. Now, regarding the Ideas, we must first examine the ideal
theory itself, not connecting it in any way with the nature of numbers, but
treating it in the form in which it was originally understood by those who first
maintained the existence of the Ideas. The supporters of the ideal theory were
led to it because on the question about the truth of things they accepted the
Heraclitean sayings which describe all sensible things as ever passing away,
so that if knowledge or thought is to have an object, there must be some other
and permanent entities, apart from those which are sensible; for there could be
no knowledge of things which were in a state of flux. But when Socrates was
occupying himself with the excellences of character, and in connexion with
them became the first to raise the problem of universal definition (for of the
physicists Democritus only touched on the subject to a small extent, and
defined, after a fashion, the hot and the cold; while the Pythagoreans had
before this treated of a few things, whose definitions-e.g. those of opportunity,
justice, or marriage-they connected with numbers; but it was natural that
Socrates should be seeking the essence, for he was seeking to syllogize, and
1718
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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