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[525a] whatever then is the one as such, and thus the study of unity will be one of the studies that guide and convert the soul to the contemplation of true being.” “But surely,” he said, “the visual perception of it1 does especially involve this. For we see the same thing at once as one and as an indefinite plurality.2” “Then if this is true of the one,” I said, “the same holds of all number, does it not?” “Of course.” “But, further, reckoning and the science of arithmetic3 are wholly concerned with number.”

1 See crit. note and Adam ad loc.

2 This is the problem of the one and the many with which Plato often plays, which he exhaustively and consciously illustrates in the Parmenides, and which the introduction to the Philebus treats as a metaphysical nuisance to be disregarded in practical logic. We have not yet got rid of it, but have merely transferred it to psychology.

3 Cf. Gorg. 450 D, 451 B-C.

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