9 ideas
17697 | The existence of an arbitrarily large number refutes the idea that numbers come from experience [Hilbert] |
10580 | Mathematics is both necessary and a priori because it really consists of logical truths [Yablo] |
17698 | Logic already contains some arithmetic, so the two must be developed together [Hilbert] |
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] |
14979 | Being alone doesn't guarantee intrinsic properties; 'being alone' is itself extrinsic [Lewis, by Sider] |
15454 | Extrinsic properties come in degrees, with 'brother' less extrinsic than 'sibling' [Lewis] |
15455 | Total intrinsic properties give us what a thing is [Lewis] |