11 ideas
10152 | Set theory and logic are fairy tales, but still worth studying [Tarski] |
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] |
18180 | Von Neumann numbers are preferred, because they continue into the transfinite [Maddy on Neumann] |
18179 | For Von Neumann the successor of n is n U {n} (rather than {n}) [Neumann, by Maddy] |
15925 | Each Von Neumann ordinal number is the set of its predecessors [Neumann, by Lavine] |
10580 | Mathematics is both necessary and a priori because it really consists of logical truths [Yablo] |
10579 | Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo] |
10577 | Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo] |
10578 | We are thought to know concreta a posteriori, and many abstracta a priori [Yablo] |
10151 | I am a deeply convinced nominalist [Tarski] |