1 Cf. 3.14.
2 e.g. Empedocles, Fr. 62 (Diels).
3 Of Miletus; fl. circa 440 (?) B.C. See Burnet, E.G.P. 171 ff.
4 Of Abdera; fl. circa 420 B.C. E.G.P loc. cit.
5 For the probable connection between the Atomists and the Eleatics see E.G.P. 173, 175, and cf. De Gen. et Corr. 324b 35-325a 32.
6 i.e., of the atoms.
7 Cf. R.P. 194.
8 These letters will convey Aristotle's point better to the English reader, but see critical note.
9 Aristotle seems to have regarded Pythagoras as a legendary person.
10 Pythagoras himself (fl. 532 B.C.) is said by Aristoxenus (ap. Stobaeus 1.20.1) to have been the first to make a theoretical study of arithmetic.
11 Cf. Aristot. Met. 14.6ff..
12 Apparently (cf. infra, Aristot. Met. 1.17) they identified these not only with properties of number but with numbers themselves. Thus justice (properly=squareness)=4, the first square number; soul or mind=1, opportunity=7 (Alexander).
13 Pythagoras himself is credited with having discovered the ratios of the octave (2 : 1), the fifth (3 : 2) and the fourth (4 : 3). Burnet, E.G.P. 51.
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