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Ideas for 'Confessions of a Philosopher', 'works' and 'Remarks on the Foundations of Mathematics'

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5 ideas

6. Mathematics / A. Nature of Mathematics / 1. Mathematics

8717	Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Hilbert, by Friend]

6. Mathematics / C. Sources of Mathematics / 6. Logicism / a. Early logicism

11073

Two and one making three has the necessity of logical inference [Wittgenstein]

6. Mathematics / C. Sources of Mathematics / 7. Formalism

10113

The grounding of mathematics is 'in the beginning was the sign' [Hilbert]

10115

Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]

6. Mathematics / C. Sources of Mathematics / 8. Finitism

10116

Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]