16 ideas
13966 | Analytic philosophy loved the necessary a priori analytic, linguistic modality, and rigour [Soames] |
13974 | If philosophy is analysis of meaning, available to all competent speakers, what's left for philosophers? [Soames] |
10282 | Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W] |
10283 | A formula needs an 'interpretation' of its constants, and a 'valuation' of its variables [Hodges,W] |
10284 | There are three different standard presentations of semantics [Hodges,W] |
10285 | I |= φ means that the formula φ is true in the interpretation I [Hodges,W] |
10289 | Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [Hodges,W] |
10288 | Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W] |
10287 | If a first-order theory entails a sentence, there is a finite subset of the theory which entails it [Hodges,W] |
10286 | A 'set' is a mathematically well-behaved class [Hodges,W] |
13969 | Kripkean essential properties and relations are necessary, in all genuinely possible worlds [Soames] |
13973 | A key achievement of Kripke is showing that important modalities are not linguistic in source [Soames] |
13968 | Kripkean possible worlds are abstract maximal states in which the real world could have been [Soames] |
13972 | Two-dimensionalism reinstates descriptivism, and reconnects necessity and apriority to analyticity [Soames] |
1748 | Archelaus was the first person to say that the universe is boundless [Archelaus, by Diog. Laertius] |
5989 | Archelaus said life began in a primeval slime [Archelaus, by Schofield] |