10 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
13489 | Von Neumann treated cardinals as a special sort of ordinal [Neumann, by Hart,WD] |
12336 | A von Neumann ordinal is a transitive set with transitive elements [Neumann, by Badiou] |
18179 | For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy] |
18180 | Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann] |
15925 | Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine] |
9224 | Proceduralism offers a version of logicism with no axioms, or objects, or ontological commitment [Fine,K] |
9222 | The objects and truths of mathematics are imperative procedures for their construction [Fine,K] |
9223 | My Proceduralism has one simple rule, and four complex rules [Fine,K] |
293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |