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Aristotle

Note 63 — Chapter VII · ANALYTICA POSTERIORA I.

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Ibid. I. xxii. p. 84, a. 30-35. The paraphrase of Themistius (pp. 55-58, Spengel) states the Aristotelian reasoning in clearer language than Aristotle himself. Zabarella (Comm. in Analyt. Post. I. xviii.; context. 148, 150, 154) repeats that Aristotle’s proof is founded upon the undeniable fact that there are definitions, and that without them there could be no demonstration and no science. This excludes the supposition of an infinite series of predicates and of middle terms:— “Sumit rationem à definitione; si in predicatis in quid procederetur ad infinitum, sequeretur auferri definitionem et omnino essentiæ cognitionem; sed hoc dicendum non est, quum omnium consensioni adversetur” (p. 466, Ven. 1617).

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