Combining Texts

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

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7 ideas

3. Truth / H. Deflationary Truth / 1. Redundant Truth
'It is true that this follows' means simply: this follows [Wittgenstein]
6. Mathematics / A. Nature of Mathematics / 1. Mathematics
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
Two and one making three has the necessity of logical inference [Wittgenstein]
6. Mathematics / C. Sources of Mathematics / 7. Formalism
The grounding of mathematics is 'in the beginning was the sign' [Hilbert]
Hilbert substituted a syntactic for a semantic account of consistency [Hilbert, by George/Velleman]
6. Mathematics / C. Sources of Mathematics / 8. Finitism
Hilbert aimed to prove the consistency of mathematics finitely, to show infinities won't produce contradictions [Hilbert, by George/Velleman]
16. Persons / C. Self-Awareness / 3. Limits of Introspection
Why don't we experience or remember going to sleep at night? [Magee]