9 ideas
17879 | Axiomatising set theory makes it all relative [Skolem] |
9390 | Logic guides thinking, but it isn't a substitute for it [Rumfitt] |
17807 | To study formal systems, look at the whole thing, and not just how it is constructed in steps [Curry] |
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] |
17806 | It is untenable that mathematics is general physical truths, because it needs infinity [Curry] |
17808 | Saying mathematics is logic is merely replacing one undefined term by another [Curry] |
9389 | Vague membership of sets is possible if the set is defined by its concept, not its members [Rumfitt] |