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Ideas for 'fragments/reports', 'Understanding the Infinite' and 'talk'

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2 ideas

6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism

15935	Modern mathematics works up to isomorphism, and doesn't care what things 'really are' [Lavine]
	Full Idea: In modern mathematics virtually all work is only up to isomorphism and no one cares what the numbers or points and lines 'really are'.
	From: Shaughan Lavine (Understanding the Infinite [1994], VI.1)
	A reaction: At least that leaves the field open for philosophers, because we do care what things really are. So should everybody else, but there is no persuading some people.

6. Mathematics / C. Sources of Mathematics / 10. Constructivism / b. Intuitionism

15928	Intuitionism rejects set-theory to found mathematics [Lavine]
	Full Idea: Intuitionism in philosophy of mathematics rejects set-theoretic foundations.
	From: Shaughan Lavine (Understanding the Infinite [1994], V.3 n33)