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[7] An ἀπόδεξις is a clear proof; hence the use of the term γραμμικαὶ ἀποδείξεις, “linear demonstrations”1 by the geometricians. Caecilius holds that it differs from the epicheireme solely in the kind of conclusion arrived at and that an apodeixis is simply an incomplete epicheireme for the same reason that we said an enthymeme differed from a syllogism. For an epicheireme is also part of a syllogism. Some think that an apodeixis is portion of an epicheireme, [p. 207] namely the part containing the proof.

1 See I. x. 38.

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