Combining Texts

All the ideas for 'Letters to Wolff', 'works' and 'The Philosophy of the Inductive Sciences'

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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 / D. Essence of Objects / 9. Essence and Properties

13191

The properties of a thing flow from its essence [Leibniz]

14. Science / D. Explanation / 2. Types of Explanation / d. Consilience

20643

Consilience is a common groundwork of explanation [Whewell]