10183 | An infinite set maps into its own proper subset [Dedekind, by Reck/Price] |
10865 | The continuum is the powerset of the integers, which moves up a level [Cantor, by Clegg] |
10701 | Cantor showed that supposed contradictions in infinity were just a lack of clarity [Cantor, by Potter] |
14427 | We can enumerate finite classes, but an intensional definition is needed for infinite classes [Russell] |
9944 | We understand some statements about all sets [Putnam] |
9634 | Set theory says that natural numbers are an actual infinity (to accommodate their powerset) [Brown,JR] |
10857 | Set theory made a closer study of infinity possible [Clegg] |
10864 | Any set can always generate a larger set - its powerset, of subsets [Clegg] |
15937 | Those who reject infinite collections also want to reject the Axiom of Choice [Lavine] |
8666 | Infinite sets correspond one-to-one with a subset [Friend] |