Combining Texts

All the ideas for 'Leibniz', 'Remarks on axiomatised set theory' and 'Philosophy'

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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 / F. Identity among Objects / 7. Indiscernible Objects

7566	The Identity of Indiscernibles is really the same as the verification principle [Jolley]

11. Knowledge Aims / A. Knowledge / 7. Knowledge First

23888

Knowledge is beyond question, as an unavoidable component of thinking [Weil]

21. Aesthetics / B. Nature of Art / 1. Defining Art

23887

Art (like philosophy) establishes a relation between world and self, and between oneself and others [Weil]