"...mathematicians say—the construction propounded will be possible too, and once more the demonstration will correspond, in the reverse order to the analysis; but if we come upon something that is admitted is impossible the problem will also be impossible. It is quite possible to accept that Plato 'discovered' the method of Analysis, in the same sense as Aristotle discovered the syllogism; that is to say, he was the first to reflect upon the process of thought involved and to describe it in contrast with the process of Synthesis."
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F.M.Cornford in: R.E.Allen Studies in Plato's Metaphysics (RLE: Plato), Routledge, 10 September 2012, p. 72
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Syllogism
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