Combining Texts

All the ideas for 'The Problem of Empty Names', 'Sententia on 'Posterior Analytics'' and 'Remarks on axiomatised set theory'

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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 / F. Referring in Logic / 1. Naming / e. Empty names

18946

Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer]

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]

13. Knowledge Criteria / B. Internal Justification / 5. Coherentism / a. Coherence as justification

22109

The fullest knowledge places a conclusion within an accurate theory [Aquinas, by Kretzmann/Stump]