Combining Texts

All the ideas for 'Realism in Mathematics', 'Frege's Distinction of Sense and Reference' and 'Practical Necessity'

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

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7 ideas

4. Formal Logic / F. Set Theory ST / 7. Natural Sets

8755	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 / b. Names as descriptive

9182	Ancient names like 'Obadiah' depend on tradition, not on where the name originated [Dummett]

6. Mathematics / B. Foundations for Mathematics / 6. Mathematics as Set Theory / a. Mathematics is set theory

10718

A natural number is a property of sets [Maddy, by Oliver]

6. Mathematics / C. Sources of Mathematics / 2. Intuition of Mathematics

8756	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

17733

We know mind-independent mathematical truths through sets, which rest on experience [Maddy, by Jenkins]

10. Modality / A. Necessity / 10. Impossibility

23283

Necessity implies possibility, but in experience it matters which comes first [Williams,B]

19. Language / B. Reference / 3. Direct Reference / b. Causal reference

9181	The causal theory of reference can't distinguish just hearing a name from knowing its use [Dummett]