Combining Texts

All the ideas for 'Realism in Mathematics', 'Meaning and Necessity' and 'The Artworld'

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6 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]
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]
19. Language / C. Assigning Meanings / 8. Possible Worlds Semantics
11968 The intension of a sentence is the set of all possible worlds in which it is true [Carnap, by Kaplan]
21. Aesthetics / B. Nature of Art / 6. Art as Institution
20328 A thing is only seen as art in an 'artworld', which has a theory and a history [Danto]