Combining Texts

All the ideas for 'Letters to Edward Stillingfleet', 'Philosophy of Natural Science' and 'Remarks on axiomatised set theory'

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7 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]

9. Objects / D. Essence of Objects / 3. Individual Essences

15990

Every individual thing which exists has an essence, which is its internal constitution [Locke]

11. Knowledge Aims / B. Certain Knowledge / 1. Certainty

15994

If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke]

14. Science / D. Explanation / 1. Explanation / b. Aims of explanation

21507

Scientific explanation aims at a unifying account of underlying structures and processes [Hempel]