By Kevin L Flannery S J
Methods into the good judgment of Alexander of Aphrodisias is meant to provide an outline of the good judgment of Alexander of Aphrodisias (fl. early third century A.D.). on the grounds that a lot of what may be referred to as Alexander's good judgment is just Aristotelian common sense, rather than conducting point-by-point research, it takes up 3 subject matters, one from all of the major components of conventional common sense: the assertoric syllogistic, the modal syllogistic, and the world of metalogical matters. It offers perception not just into Aristotle's logical writings themselves but additionally into the culture of scholarship which they spawned: the guidelines and analyses of such figures as Theophrastus of Eresus, John Philoponus and (more lately) Jan Lukasiewicz.
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And the most obvious of the interpretative questions before us would be, What are the differences between the definitional and the perceptual proofs? Let us begin by making the only direct comparison available to us: between the two ways of validating e-conversion. A quick look at proofs {4} and {6} reveals great similarity. 64 Prescinding from trivial divergences of approach, there seem to be no differences at all between the two accounts. But this appearance is deceiving. eyE'tat Ka'ta (in {6})-or, more precisely, the use of rule (le) in {6} rather than (uk) and (ke).
Smith, correctly I believe, points to the bearing that this expression has on the process of ecthesis. 10 See Patzig (1968), pp. 1-2, 8-12, 49-50 and Lemmon (1965); see also Appendix ("Logical Symbols and Conventions"). ECTHESIS 5 was aware that he could not resort to such a straightforward proof that AeB f- BeA. " Such a proof is, on the face of it, valid. The difficulty in modern times has been to restate the proof in a manner that is both true to the Aristotelian text and also consistent with modern logical techniques, by means of which the validity of the proof might be rigorously confirmed.
They conduct their proof in this way: Suppose that A is said of no B. If it is said of no B, then A is disjoined and separated from B. 4--9]. Alexander immediately remarks that this cannot be what Aristotle had in mind since "Aristotle seems to use a reduction to the impossible to prove this conclusion"; but we should not assume that Alexander repudiates the Theophrastan approach altogether. 8-l3). And then he says: However, a proof through the third figure is untimely here. 12-5]. As happens extremely often in this commentary (as we shall see again in chapter 2 particularly), Alexander is here putting forth a Theophrastan position, even while modifYing it.
