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1 The argument is here resumed from 8.1.
2 i.e., to change his conduct. The unrestrained man's belief is right already and he needs only to be induced to act up to it; whereas the profligate must be persuaded to change his belief before he will alter his conduct.
3 Cf. 6.5.6.
4 The context might indicate that the definitions are meant, which, themselves apprehended intuitively, are the starting-points of mathematical deductions. But these are ordinarily distinguished by Arisotle from hypotheses, which are assertions of the existence of things, not of their nature. It is therefore suggested that the term here means the propositions of mathematics, which are assumed as the starting-point of the analytical process by which a proof of a theorem or solution of a problem may be discovered: cf. 3.3.12.