16 ideas
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] |
10288 | Down Löwenheim-Skolem: if a countable language has a consistent theory, that has a countable model [Hodges,W] |
10289 | Up Löwenheim-Skolem: if infinite models, then arbitrarily large models [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] |
3978 | Associations are held to connect Ideas together in the way the world is connected together [Fodor] |
3976 | Intentional science needs objects with semantic and causal properties, and which obey laws [Fodor] |
3980 | Intentional states and processes may be causal relations among mental symbols [Fodor] |
3981 | Most psychological properties seem to be multiply realisable [Fodor] |
3975 | Folk psychology explains behaviour by reference to intentional states like belief and desire [Fodor] |
3982 | How could the extrinsic properties of thoughts supervene on their intrinsic properties? [Fodor] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
3977 | Laws are true generalisations which support counterfactuals and are confirmed by instances [Fodor] |