Combining Texts

All the ideas for 'Realism in Mathematics', 'Two Problems of Epistemology' and 'Mathematical Logic (revised)'

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

---

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 / E. Structures of Logic / 4. Variables in Logic

12221

'Corner quotes' (quasi-quotation) designate 'whatever these terms designate' [Quine]

5. Theory of Logic / F. Referring in Logic / 1. Naming / f. Names eliminated

19321

We might do without names, by converting them into predicates [Quine, by Kirkham]

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]

14. Science / A. Basis of Science / 6. Falsification

18284

Particulars can be verified or falsified, but general statements can only be falsified (conclusively) [Popper]