Combining Texts

All the ideas for 'Isagoge ('Introduction')', 'Purple Haze' and 'Remarks on axiomatised set theory'

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8 ideas

4. Formal Logic / F. Set Theory ST / 4. Axioms for Sets / a. Axioms for sets
17879 Axiomatising set theory makes it all relative [Skolem]
5. Theory of Logic / J. Model Theory in Logic / 3. Löwenheim-Skolem Theorems
17878 If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem]
6. Mathematics / B. Foundations for Mathematics / 1. Foundations for Mathematics
17880 Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem]
6. Mathematics / C. Sources of Mathematics / 1. Mathematical Platonism / b. Against mathematical platonism
17881 Mathematician want performable operations, not propositions about objects [Skolem]
8. Modes of Existence / D. Universals / 1. Universals
15034 Are genera and species real or conceptual? bodies or incorporeal? in sensibles or separate from them? [Porphyry]
17. Mind and Body / E. Mind as Physical / 7. Anti-Physicalism / d. Explanatory gap
7876 Even if we identify pain with neural events, we can't explain why those neurons cause that feeling [Levine, by Papineau]
7877 Only phenomenal states have an explanatory gap; water is fully explained by H2O [Levine, by Papineau]
7878 Materialism won't explain phenomenal properties, because the latter aren't seen in causal roles [Papineau on Levine]