8 ideas
17879 | Axiomatising set theory makes it all relative [Skolem] |
17878 | If a 1st-order proposition is satisfied, it is satisfied in a denumerably infinite domain [Skolem] |
17880 | Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem] |
17881 | Mathematician want performable operations, not propositions about objects [Skolem] |
13230 | Particular essence is often captured by generality [Steiner,M] |
13229 | Maybe an instance of a generalisation is more explanatory than the particular case [Steiner,M] |
13231 | Explanatory proofs rest on 'characterizing properties' of entities or structure [Steiner,M] |
15877 | The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré] |