13 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] |
| 7746 | We don't normally think of names as having senses (e.g. we don't give definitions of them) [Searle] |
| 7747 | How can a proper name be correlated with its object if it hasn't got a sense? [Searle] |
| 7748 | 'Aristotle' means more than just 'an object that was christened "Aristotle"' [Searle] |
| 7749 | Reference for proper names presupposes a set of uniquely referring descriptions [Searle] |
| 7750 | Proper names are logically connected with their characteristics, in a loose way [Searle] |
| 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] |
| 10558 | Abstract objects are actually constituted by the properties by which we conceive them [Zalta] |
| 10557 | Abstract objects are captured by second-order modal logic, plus 'encoding' formulas [Zalta] |