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Ideas for 'Clitophon', 'On boundary numbers and domains of sets' and 'Theaetetus'

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6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / a. For mathematical platonism

10216	We master arithmetic by knowing all the numbers in our soul [Plato]
	Full Idea: It must surely be true that a man who has completely mastered arithmetic knows all numbers? Because there are pieces of knowledge covering all numbers in his soul.
	From: Plato (Theaetetus [c.368 BCE], 198b)
	A reaction: This clearly views numbers as objects. Expectation of knowing them all is a bit startling! They also appear to be innate in us, and hence they appear to be Forms. See Aristotle's comment in Idea 645.