10 ideas
17879 | Axiomatising set theory makes it all relative [Skolem] |
13536 | Skolem did not believe in the existence of uncountable sets [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] |
19525 | If the only aim is to believe truths, that justifies recklessly believing what is unsupported (if it is right) [Conee/Feldman] |
19524 | We don't have the capacity to know all the logical consequences of our beliefs [Conee/Feldman] |
19518 | Evidentialism says justifications supervene on the available evidence [Conee/Feldman] |
19519 | Rational decisions are either taken to be based on evidence, or to be explained causally [Conee/Feldman] |
6005 | Animals are dangerous and nourishing, and can't form contracts of justice [Hermarchus, by Sedley] |