12 ideas
2572 | Logical truth seems much less likely to 'correspond to the facts' than factual truth does [Haack] |
2570 | The same sentence could be true in one language and meaningless in another, so truth is language-relative [Haack] |
9944 | We understand some statements about all sets [Putnam] |
9937 | I do not believe mathematics either has or needs 'foundations' [Putnam] |
9939 | It is conceivable that the axioms of arithmetic or propositional logic might be changed [Putnam] |
9940 | Maybe mathematics is empirical in that we could try to change it [Putnam] |
9941 | Science requires more than consistency of mathematics [Putnam] |
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] |
9943 | You can't deny a hypothesis a truth-value simply because we may never know it! [Putnam] |