Combining Texts

All the ideas for 'Realism in Mathematics', 'Supervenience' and 'Platonism and the Spiritual Life'

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13 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]
7. Existence / C. Structure of Existence / 5. Supervenience / a. Nature of supervenience
16039 Supervenience: No A-difference without a B-difference [Bennett,K]
16043 Supervenience is non-symmetric - sometimes it's symmetric, and sometimes it's one-way [Bennett,K]
7. Existence / C. Structure of Existence / 5. Supervenience / b. Types of supervenience
16047 Weak supervenience is in one world, strong supervenience in all possible worlds [Bennett,K]
7. Existence / C. Structure of Existence / 5. Supervenience / c. Significance of supervenience
16040 Aesthetics, morality and mind supervene on the physical? Modal on non-modal? General on particular? [Bennett,K]
16044 Some entailments do not involve supervenience, as when brotherhood entails siblinghood [Bennett,K]
16046 Reduction requires supervenience, but does supervenience suffice for reduction? [Bennett,K]
7. Existence / D. Theories of Reality / 6. Physicalism
16049 Definitions of physicalism are compatible with a necessary God [Bennett,K]
10. Modality / A. Necessity / 6. Logical Necessity
16042 The metaphysically and logically possible worlds are the same, so they are the same strength [Bennett,K]
22. Metaethics / A. Ethics Foundations / 2. Source of Ethics / e. Human nature
23060 The good is not relative, but is rooted in facts about human needs [Santayana]