Combining Texts

All the ideas for 'Realism in Mathematics', 'Preface to 'Dorian Gray'' and 'Letter to Shumacher'

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8 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 / A. Nature of Mathematics / 5. The Infinite / d. Actual infinite
10855 Actual infinities are not allowed in mathematics - only limits which may increase without bound [Gauss]
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]
21. Aesthetics / C. Artistic Issues / 6. Value of Art
7276 All art is quite useless [Wilde]
21. Aesthetics / C. Artistic Issues / 7. Art and Morality
7274 Books are only well or badly written, not moral or immoral [Wilde]
7275 Having ethical sympathies is a bad mannerism of style in an artist [Wilde]