26 ideas
5331 | You can't infer that because you have a hidden birth-mark, everybody else does [Ayer] |
10301 | The axiom of choice is controversial, but it could be replaced [Shapiro] |
10588 | First-order logic is Complete, and Compact, with the Löwenheim-Skolem Theorems [Shapiro] |
10298 | Some say that second-order logic is mathematics, not logic [Shapiro] |
10299 | If the aim of logic is to codify inferences, second-order logic is useless [Shapiro] |
10300 | Logical consequence can be defined in terms of the logical terminology [Shapiro] |
10290 | Second-order variables also range over properties, sets, relations or functions [Shapiro] |
10590 | Up Löwenheim-Skolem: if natural numbers satisfy wffs, then an infinite domain satisfies them [Shapiro] |
10296 | The Löwenheim-Skolem Theorems fail for second-order languages with standard semantics [Shapiro] |
10297 | The Löwenheim-Skolem theorem seems to be a defect of first-order logic [Shapiro] |
10292 | Downward Löwenheim-Skolem: if there's an infinite model, there is a countable model [Shapiro] |
10294 | Second-order logic has the expressive power for mathematics, but an unworkable model theory [Shapiro] |
2611 | It is currently held that quantifying over something implies belief in its existence [Ayer] |
10591 | Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro] |
16520 | We see properties necessary for a kind (in the definition), but not for an individual [Ayer] |
2613 | The theory of other minds has no rival [Ayer] |
5328 | Originally I combined a mentalistic view of introspection with a behaviouristic view of other minds [Ayer] |
5330 | Physicalism undercuts the other mind problem, by equating experience with 'public' brain events [Ayer] |
5326 | Qualia must be united by a subject, because they lead to concepts and judgements [Ayer] |
5325 | Is something an 'experience' because it relates to other experiences, or because it relates to a subject? [Ayer] |
5324 | Bodily identity and memory work together to establish personal identity [Ayer] |
5322 | Self-consciousness is not basic, because experiences are not instrinsically marked with ownership [Ayer] |
5327 | Temporal gaps in the consciousness of a spirit could not be bridged by memories [Ayer] |
5329 | Why shouldn't we say brain depends on mind? Better explanation! [Ayer] |
2610 | Talk of propositions is just shorthand for talking about equivalent sentences [Ayer] |
5845 | Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon] |