Combining Texts

All the ideas for 'works', 'Aesthetica' and 'Realism in Mathematics'

expand these ideas     |    start again     |     specify just one area for these texts

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 / 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 / A. Aesthetic Experience / 1. Aesthetics
8063 Baumgarten founded aesthetics in 1750 [Baumgarten, by Tolstoy]
21. Aesthetics / B. Nature of Art / 2. Art as Form
8118 Beauty is an order between parts, and in relation to the whole [Baumgarten, by Tolstoy]
22. Metaethics / C. The Good / 1. Goodness / b. Types of good
8117 Perfection comes through the senses (Beauty), through reason (Truth), and through moral will (Good) [Baumgarten, by Tolstoy]
23. Ethics / C. Virtue Theory / 3. Virtues / a. Virtues
20239 Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche]