Combining Texts

All the ideas for 'Realism in Mathematics', 'On the Nature of Moral Values' and 'Syntactic Structure'

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10 ideas

2. Reason / F. Fallacies / 8. Category Mistake / c. Category mistake as semantic
18009 Chomsky established the view that category mistakes are well-formed but meaningless [Chomsky, by Magidor]
3. Truth / C. Correspondence Truth / 1. Correspondence Truth
21750 Science is sympathetic to truth as correspondence, since it depends on observation [Quine]
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]
14. Science / C. Induction / 2. Aims of Induction
21748 More careful inductions gradually lead to the hypothetico-deductive method [Quine]
19. Language / C. Assigning Meanings / 1. Syntax
18007 Syntax is independent of semantics; sentences can be well formed but meaningless [Chomsky, by Magidor]
22. Metaethics / B. Value / 1. Nature of Value / a. Nature of value
21749 Altruistic values concern other persons, and ceremonial values concern practices [Quine]
22. Metaethics / B. Value / 2. Values / g. Love
21751 Love seems to diminish with distance from oneself [Quine]