20 ideas
10282 | Logic is the study of sound argument, or of certain artificial languages (or applying the latter to the former) [Hodges,W] |
23548 | Indeterminacy is in conflict with classical logic [Fine,K] |
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] |
23539 | Classical semantics has referents for names, extensions for predicates, and T or F for sentences [Fine,K] |
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] |
23544 | Local indeterminacy concerns a single object, and global indeterminacy covers a range [Fine,K] |
23540 | Conjoining two indefinites by related sentences seems to produce a contradiction [Fine,K] |
23546 | Standardly vagueness involves borderline cases, and a higher standpoint from which they can be seen [Fine,K] |
23542 | Identifying vagueness with ignorance is the common mistake of confusing symptoms with cause [Fine,K] |
23541 | Supervaluation can give no answer to 'who is the last bald man' [Fine,K] |
23545 | We do not have an intelligible concept of a borderline case [Fine,K] |
23547 | It seems absurd that there is no identity of any kind between two objects which involve survival [Fine,K] |
7861 | Libet says the processes initiated in the cortex can still be consciously changed [Libet, by Papineau] |
6660 | Libet found conscious choice 0.2 secs before movement, well after unconscious 'readiness potential' [Libet, by Lowe] |
23543 | We identify laws with regularities because we mistakenly identify causes with their symptoms [Fine,K] |