14 ideas
| 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] |
| 3291 | Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel] |
| 19513 | A contextualist coherentist will say that how strongly a justification must cohere depends on context [DeRose] |
| 19514 | Classical invariantism combines fixed truth-conditions with variable assertability standards [DeRose] |
| 19515 | We can make contextualism more precise, by specifying the discrimination needed each time [DeRose] |
| 19510 | In some contexts there is little more to knowledge than true belief. [DeRose] |
| 19516 | Contextualists worry about scepticism, but they should focus on the use of 'know' in ordinary speech [DeRose] |
| 19511 | If contextualism is about knowledge attribution, rather than knowledge, then it is philosophy of language [DeRose] |
| 3290 | Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel] |