13 ideas
| 19048 | Contextual definition shifted the emphasis from words to whole sentences [Quine] |
| 19047 | Bentham's contextual definitions preserved terms after their denotation became doubtful [Quine] |
| 17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
| 17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
| 17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
| 17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
| 17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
| 17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
| 8921 | Structuralism is now common, studying relations, with no regard for what the objects might be [Hellman] |
| 8922 | Maybe mathematical objects only have structural roles, and no intrinsic nature [Hellman] |
| 19049 | In scientific theories sentences are too brief to be independent vehicles of empirical meaning [Quine] |
| 19046 | Empiricism improvements: words for ideas, then sentences, then systems, then no analytic, then naturalism [Quine] |
| 19050 | Holism in language blurs empirical synthetic and empty analytic sentences [Quine] |