Combining Texts

All the ideas for 'Good and Evil', 'Remarks on axiomatised set theory' and 'Philosophy and Scientific Image of Man'

expand these ideas     |    start again     |     specify just one area for these texts

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7 ideas

1. Philosophy / D. Nature of Philosophy / 5. Aims of Philosophy / c. Philosophy as generalisation

21829

Philosophy aims to understand how things (broadly understood) hang together (broadly understood) [Sellars]

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]

7. Existence / C. Structure of Existence / 2. Reduction

6550	Reduction requires that an object's properties consist of its constituents' properties and relations [Sellars]

22. Metaethics / C. The Good / 1. Goodness / a. Form of the Good

22489

'Good' is an attributive adjective like 'large', not predicative like 'red' [Geach, by Foot]