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Ideas for 'The Problem of Empty Names', 'Elements of Intuitionism' and 'Freedom and Action'

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6. Mathematics / A. Nature of Mathematics / 5. The Infinite / c. Potential infinite

15938	Platonists ruin infinity, which is precisely a growing structure which is never completed [Dummett]
	Full Idea: The platonist destroys the whole essence of infinity, which lies in the conception of a structure which is always in growth, precisely because the process of construction is never completed.
	From: Michael Dummett (Elements of Intuitionism [1977], p.57), quoted by Thomas J. McKay - Plural Predication
	A reaction: I don't warm to intuitionism, but I warm to this conception of infinity. Completed infinities are convenient reifications for mathematicians.