Combining Texts

All the ideas for 'Cosmic Apprentice', 'Calculus Ratiocinator' and 'Remarks on axiomatised set theory'

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6 ideas

1. Philosophy / G. Scientific Philosophy / 3. Scientism

16567

Scientists know everything about nothing, philosophers nothing about everything [Sagan,D]

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]

11. Knowledge Aims / C. Knowing Reality / 3. Idealism / a. Idealism

12742

A whole is just its parts, but there are no smallest parts, so only minds and perceptions exist [Leibniz]