Combining Texts

All the ideas for 'works', 'Against 'Ostrich Nominalism'' and 'works'

expand these ideas     |    start again     |     specify just one area for these texts

8 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]
7. Existence / D. Theories of Reality / 3. Reality
8507 Some think of reality as made of things; I prefer facts or states of affairs [Armstrong]
8. Modes of Existence / D. Universals / 1. Universals
8506 Particulars and properties are distinguishable, but too close to speak of a relation [Armstrong]
8. Modes of Existence / E. Nominalism / 1. Nominalism / a. Nominalism
8505 Refusal to explain why different tokens are of the same type is to be an ostrich [Armstrong]
9. Objects / B. Unity of Objects / 2. Substance / b. Need for substance
10710 We accept substance, to avoid infinite backwards chains of meaning [Wittgenstein, by Potter]