15 ideas
22026 | Philosophy is homesickness - the urge to be at home everywhere [Novalis] |
13407 | All worthwhile philosophy is synthetic theorizing, evaluated by experience [Papineau] |
18755 | Validity is explained as truth in all models, because that relies on the logical terms [McGee] |
18751 | Natural language includes connectives like 'because' which are not truth-functional [McGee] |
18761 | Second-order variables need to range over more than collections of first-order objects [McGee] |
18753 | An ontologically secure semantics for predicate calculus relies on sets [McGee] |
18754 | Logically valid sentences are analytic truths which are just true because of their logical words [McGee] |
18757 | Soundness theorems are uninformative, because they rely on soundness in their proofs [McGee] |
18760 | The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee] |
13409 | Our best theories may commit us to mathematical abstracta, but that doesn't justify the commitment [Papineau] |
13406 | A priori knowledge is analytic - the structure of our concepts - and hence unimportant [Papineau] |
13408 | Intuition and thought-experiments embody substantial information about the world [Papineau] |
19591 | Desire for perfection is an illness, if it turns against what is imperfect [Novalis] |
13410 | Verificationism about concepts means you can't deny a theory, because you can't have the concept [Papineau] |
18762 | A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee] |