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1 Cf. Aristot. Met. 982 a 15τοῦ εἰδέναι χάριν, and Laws 741 C. Montesquieu apud Arnold, Culture and Anarchy, p. 6: “The first motive which ought to impel us to study is the desire to augment the excellence of our nature and to render an intelligent being more intelligent.”
2 Lit. “numbers (in) themselves,” i.e. ideal numbers or the ideas of numbers. For this and the following as one of the sources of the silly notion that mathematical numbers are intermediate between ideal and concrete numbers, cf. my De Platonis Idearum Doctrina, p. 33, Unity of Plato's Thought, pp. 83-84, Class. Phil. xxii. (1927) pp. 213-218.
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