Combining Texts

All the ideas for 'Bayesianism', 'Remarks on axiomatised set theory' and 'Free Will as Involving Determinism'

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9 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]
14. Science / C. Induction / 6. Bayes's Theorem
2798 Probability of H, given evidence E, is prob(H) x prob(E given H) / prob(E) [Horwich]
2799 Bayes' theorem explains why very surprising predictions have a higher value as evidence [Horwich]
16. Persons / F. Free Will / 6. Determinism / a. Determinism
22371 Determinism threatens free will if actions can be causally traced to external factors [Foot]
20. Action / C. Motives for Action / 3. Acting on Reason / b. Intellectualism
22372 Not all actions need motives, but it is irrational to perform troublesome actions with no motive [Foot]
23. Ethics / C. Virtue Theory / 2. Elements of Virtue Theory / e. Character
22373 People can act out of vanity without being vain, or even vain about this kind of thing [Foot]