Combining Texts

All the ideas for 'Of Civil Liberty', 'works' and 'Commentary on 'Posterior Analytics''

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6 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 / 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]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
16629 By comparing qualities and features, reason can gradually infer the nature of substance [Grosseteste]
24. Political Theory / C. Ruling a State / 2. Leaders / b. Monarchy
21097 Modern monarchies are (like republics) rule by law, rather than by men [Hume]