Combining Texts

All the ideas for 'Purifications (frags)', 'Remarks on axiomatised set theory' and 'Entity and Identity'

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6 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 / A. Existence of Objects / 2. Abstract Objects / b. Need for abstracta

16980

We need a logical use of 'object' as predicate-worthy, and an 'ontological' use [Strawson,P]

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

16979

It makes no sense to ask of some individual thing what it is that makes it that individual [Strawson,P]