Clement of Alexandria: STROMATA (MISCELLANIES), Part VI, Complete

Translated by Alexander Roberts and James Donaldson.

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Page 39

Induction, accordingly, shows not what a thing is, but that it is, or is not. Division shows what it is; and Definition similarly with Division teaches the essence and what a thing is, but not if it is; while Demonstration explains the three points, if it is, what it is, and why it is.

There are also Definitions which contain the Cause. And since it may be known when we see, when we see the Cause; and Causes are four--the matter, the moving power, the species, the end; Definition will be fourfold.

Accordingly we must first take the genus, in which are the points that are nearest those above; and after this the next difference. And the succession of differences, when cut and divided, completes the "What it is." There is no necessity for expressing all the differences of each thing, but those which form the species.

Geometrical analysis and synthesis are similar to logical division and definition; and by division we get back to what is simple and more elementary. We divide, therefore, the genus of what is proposed for consideration into the species contained in it; as, in the case of man, we divide animal, which is the genus, into the species that appear in it, the mortal, and the immortal. And thus, by continually dividing those genera that seem to be compound into the simpler species, we arrive at the point which is the subject of investigation, and which is incapable of further division.

For, after dividing "the animal" into mortal and immortal, then into terrestrial and aquatic; and the terrestrial again into those who fly and those who walk; and so dividing the species which is nearest to what is sought, which also contains what is sought, we arrive by division at the simplest species, which contains nothing else, but what is sought alone.

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