9 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] |
13472 | Hilbert aimed to eliminate number from geometry [Hilbert, by Hart,WD] |
17880 | Integers and induction are clear as foundations, but set-theory axioms certainly aren't [Skolem] |
9546 | Euclid axioms concerns possibilities of construction, but Hilbert's assert the existence of objects [Hilbert, by Chihara] |
18742 | Hilbert's formalisation revealed implicit congruence axioms in Euclid [Hilbert, by Horsten/Pettigrew] |
18217 | Hilbert's geometry is interesting because it captures Euclid without using real numbers [Hilbert, by Field,H] |
17881 | Mathematician want performable operations, not propositions about objects [Skolem] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |