23 ideas
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] |
10591 | Logicians use 'property' and 'set' interchangeably, with little hanging on it [Shapiro] |
5806 | Belief is the power of metarepresentation [Dretske] |
5801 | A mouse hearing a piano played does not believe it, because it lacks concepts and understanding [Dretske] |
5802 | Representations are in the head, but their content is not, as stories don't exist in their books [Dretske] |
5809 | Some activities are performed better without consciousness of them [Dretske] |
5808 | Qualia are just the properties objects are represented as having [Dretske] |
5803 | In a representational theory of mind, introspection is displaced perception [Dretske] |
5807 | Introspection is the same as the experience one is introspecting [Dretske] |
5805 | Introspection does not involve looking inwards [Dretske] |
5804 | A representational theory of the mind is an externalist theory of the mind [Dretske] |
5800 | All mental facts are representation, which consists of informational functions [Dretske] |
8659 | The gods alone live forever with Shamash. The days of humans are numbered. [Anon (Gilg)] |