Combining Texts

All the ideas for 'Title, Unity, Authenticity of the 'Categories'', 'Remarks on axiomatised set theory' and 'The Nature of Thought'

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7 ideas

1. Philosophy / C. History of Philosophy / 3. Earlier European Philosophy / b. Early medieval philosophy

16137

Earlier views of Aristotle were dominated by 'Categories' [Frede,M]

2. Reason / A. Nature of Reason / 6. Coherence

2764	Full coherence might involve consistency and mutual entailment of all propositions [Blanshard, by Dancy,J]

3. Truth / D. Coherence Truth / 1. Coherence Truth

19080

Coherence tests for truth without implying correspondence, so truth is not correspondence [Blanshard, by Young,JO]

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]