Combining Texts

All the ideas for 'works', 'Remarks on axiomatised set theory' and 'Truth and Probability'

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8 ideas

1. Philosophy / H. Continental Philosophy / 3. Hermeneutics
5437 The claim of hermeneutics to give knowledge through understanding is challenged by positivism [Mautner on Dilthey]
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]
10. Modality / B. Possibility / 8. Conditionals / d. Non-truthfunction conditionals
13766 'If' is the same as 'given that', so the degrees of belief should conform to probability theory [Ramsey, by Ramsey]
14. Science / C. Induction / 6. Bayes's Theorem
19143 Ramsey gave axioms for an uncertain agent to decide their preferences [Ramsey, by Davidson]
14. Science / D. Explanation / 1. Explanation / d. Explaining people
5436 Natural science seeks explanation; human sciences seek understanding [Dilthey, by Mautner]