Combining Texts

All the ideas for 'Tonk, Plonk and Plink', 'Realism in Mathematics' and 'Introduction to Aesthetics'

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6 ideas

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]
14. Science / D. Explanation / 2. Types of Explanation / a. Types of explanation
Analytic explanation is wholes in terms of parts; synthetic is parts in terms of wholes or contexts [Belnap]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
The institutional theory says only a competent expert can decree something to be an art work [Dickie, by Gardner]