Combining Texts

All the ideas for 'Realism in Mathematics', 'Pragmatism in Retrospect' and 'Frege on Knowing the Third Realm'

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8 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth

15335

Peirce's theory offers anti-realist verificationism, but surely how things are is independent of us? [Horsten on Peirce]

14796

Independent truth (if there is any) is the ultimate result of sufficient enquiry [Peirce]

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 / A. Overview of Logic / 3. Value of Logic

13479

Given that thinking aims at truth, logic gives universal rules for how to do it [Burge]

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]

12. Knowledge Sources / D. Empiricism / 3. Pragmatism

14795

Pragmatism is a way of establishing meanings, not a theory of metaphysics or a set of truths [Peirce]