17 ideas
| 23445 | Naïve set theory says any formula defines a set, and coextensive sets are identical [Linnebo] |
| 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] |
| 21506 | A coherence theory of justification can combine with a correspondence theory of truth [Bonjour] |
| 21509 | There will always be a vast number of equally coherent but rival systems [Bonjour] |
| 21503 | Empirical coherence must attribute reliability to spontaneous experience [Bonjour] |
| 21510 | The objection that a negated system is equally coherent assume that coherence is consistency [Bonjour] |
| 21511 | A well written novel cannot possibly match a real belief system for coherence [Bonjour] |
| 21505 | A coherent system can be justified with initial beliefs lacking all credibility [Bonjour] |
| 21504 | The best explanation of coherent observations is they are caused by and correspond to reality [Bonjour] |
| 21508 | Anomalies challenge the claim that the basic explanations are actually basic [Bonjour] |
| 468 | Musical performance can reveal a range of virtues [Damon of Ath.] |