Combining Texts

All the ideas for 'Issues of Pragmaticism', 'On the spiritual perfection of life' and 'works'

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6 ideas

2. Reason / C. Styles of Reason / 1. Dialectic

22102

Arguing with opponents uncovers truths, and restrains falsehoods [Aquinas]

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 / 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]

19. Language / A. Nature of Meaning / 1. Meaning

19087

The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce]