28 ideas
19066 | Philosophy aims to understand the world, through ordinary experience and science [Dummett] |
19067 | A successful proof requires recognition of truth at every step [Dummett] |
19060 | Truth-tables are dubious in some cases, and may be a bad way to explain connective meaning [Dummett] |
11066 | Deduction is justified by the semantics of its metalanguage [Dummett, by Hanna] |
18755 | Validity is explained as truth in all models, because that relies on the logical terms [McGee] |
19058 | Syntactic consequence is positive, for validity; semantic version is negative, with counterexamples [Dummett] |
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] |
19063 | Beth trees show semantics for intuitionistic logic, in terms of how truth has been established [Dummett] |
19059 | In standard views you could replace 'true' and 'false' with mere 0 and 1 [Dummett] |
19062 | Classical two-valued semantics implies that meaning is grasped through truth-conditions [Dummett] |
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] |
19065 | Soundness and completeness proofs test the theory of meaning, rather than the logic theory [Dummett] |
18760 | The culmination of Euclidean geometry was axioms that made all models isomorphic [McGee] |
19061 | An explanation is often a deduction, but that may well beg the question [Dummett] |
7647 | The imagination alone perceives all objects; it is the soul, playing all its roles [La Mettrie] |
7645 | When falling asleep, the soul becomes paralysed and weak, just like the body [La Mettrie] |
23225 | The soul's faculties depend on the brain, and are simply the brain's organisation [La Mettrie] |
7652 | Man is a machine, and there exists only one substance, diversely modified [La Mettrie] |
7650 | All thought is feeling, and rationality is the sensitive soul contemplating reasoning [La Mettrie] |
7651 | With wonderful new machines being made, a speaking machine no longer seems impossible [La Mettrie] |
19064 | Holism is not a theory of meaning; it is the denial that a theory of meaning is possible [Dummett] |
18762 | A maxim claims that if we are allowed to assert a sentence, that means it must be true [McGee] |
7648 | The sun and rain weren't made for us; they sometimes burn us, or spoil our seeds [La Mettrie] |
7646 | There is no abrupt transition from man to animal; only language has opened a gap [La Mettrie] |
7649 | There is no clear idea of the soul, which should only refer to our thinking part [La Mettrie] |