Ideas from 'works' by David Hilbert [1900], by Theme Structure

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6. Mathematics / A. Nature of Mathematics / 1. Mathematics
Hilbert wanted to prove the consistency of all of mathematics (which realists take for granted) [Friend]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
Hilbert substituted a syntactic for a semantic account of consistency [George/Velleman]
The grounding of mathematics is 'in the beginning was the sign'
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [George/Velleman]