14 ideas
| 23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
| 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] |
| 23447 | In classical semantics singular terms refer, and quantifiers range over domains [Linnebo] |
| 23443 | The axioms of group theory are not assertions, but a definition of a structure [Linnebo] |
| 23444 | To investigate axiomatic theories, mathematics needs its own foundational axioms [Linnebo] |
| 23446 | You can't prove consistency using a weaker theory, but you can use a consistent theory [Linnebo] |
| 23448 | Mathematics is the study of all possible patterns, and is thus bound to describe the world [Linnebo] |
| 23441 | Logical truth is true in all models, so mathematical objects can't be purely logical [Linnebo] |
| 23442 | Game Formalism has no semantics, and Term Formalism reduces the semantics [Linnebo] |
| 20239 | Unlike us, the early Greeks thought envy was a good thing, and hope a bad thing [Hesiod, by Nietzsche] |