Combining Texts

All the ideas for 'Realism in Mathematics', 'Adverbial Theory' and 'Pragmatism in Retrospect'

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8 ideas

3. Truth / E. Pragmatic Truth / 1. Pragmatic Truth
Independent truth (if there is any) is the ultimate result of sufficient enquiry [Peirce]
Peirce's theory offers anti-realist verificationism, but surely how things are is independent of us? [Horsten on Peirce]
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]
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]
12. Knowledge Sources / B. Perception / 4. Sense Data / b. Nature of sense-data
Are sense-data independent, with identity, substance and location? [Tye]
12. Knowledge Sources / D. Empiricism / 3. Pragmatism
Pragmatism is a way of establishing meanings, not a theory of metaphysics or a set of truths [Peirce]