Combining Texts

All the ideas for 'Realism in Mathematics', 'On Plural Reference and Set Theory' and 'Truth'

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7 ideas

3. Truth / C. Correspondence Truth / 1. Correspondence Truth
True sentences says the appropriate descriptive thing on the appropriate demonstrative occasion [Austin,JL]
3. Truth / C. Correspondence Truth / 3. Correspondence Truth critique
Correspondence theorists shouldn't think that a country has just one accurate map [Austin,JL]
4. Formal Logic / F. Set Theory ST / 7. Natural Sets
Maddy replaces pure sets with just objects and perceived sets of objects [Maddy, by Shapiro]
5. Theory of Logic / F. Referring in Logic / 1. Naming / d. Singular terms
A 'singulariser' converts a plural like 'number of' to a syntactically neutral form [Cartwright,H, by Hossack]
6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory
A natural number is a property of sets [Maddy, by Oliver]
6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics
Intuition doesn't support much mathematics, and we should question its reliability [Maddy, by Shapiro]
6. Mathematics / C. Sources of Mathematics / 4. Mathematical Empiricism / a. Mathematical empiricism
We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]