[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.
Quintilian. With An English Translation. Harold Edgeworth Butler. Cambridge. Cambridge, Mass., Harvard University Press; London, William Heinemann, Ltd. 1921.
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