28 ideas
8092 | Logic was merely a branch of rhetoric until the scientific 17th century [Devlin] |
8081 | 'No councillors are bankers' and 'All bankers are athletes' implies 'Some athletes are not councillors' [Devlin] |
8085 | Modern propositional inference replaces Aristotle's 19 syllogisms with modus ponens [Devlin] |
8086 | Predicate logic retains the axioms of propositional logic [Devlin] |
8091 | Situation theory is logic that takes account of context [Devlin] |
8087 | Golden ages: 1900-1960 for pure logic, and 1950-1985 for applied logic [Devlin] |
8089 | Montague's intensional logic incorporated the notion of meaning [Devlin] |
13479 | Given that thinking aims at truth, logic gives universal rules for how to do it [Burge] |
8082 | Where a conditional is purely formal, an implication implies a link between premise and conclusion [Devlin] |
8132 | We now have a much more sophisticated understanding of logical form in language [Burge] |
8072 | Sentences of apparent identical form can have different contextual meanings [Devlin] |
17622 | We come to believe mathematical propositions via their grounding in the structure [Burge] |
8075 | Space and time are atomic in the arrow, and divisible in the tortoise [Devlin] |
16901 | The equivalent algebra model of geometry loses some essential spatial meaning [Burge] |
9159 | You can't simply convert geometry into algebra, as some spatial content is lost [Burge] |
16902 | Peano arithmetic requires grasping 0 as a primitive number [Burge] |
16892 | Is apriority predicated mainly of truths and proofs, or of human cognition? [Burge] |
9382 | Subjects may be unaware of their epistemic 'entitlements', unlike their 'justifications' [Burge] |
8088 | People still say the Hopi have no time concepts, despite Whorf's later denial [Devlin] |
8126 | Anti-individualism says the environment is involved in the individuation of some mental states [Burge] |
8127 | Broad concepts suggest an extension of the mind into the environment (less computer-like) [Burge] |
8129 | Anti-individualism may be incompatible with some sorts of self-knowledge [Burge] |
8131 | Some qualities of experience, like blurred vision, have no function at all [Burge] |
3115 | Are meaning and expressed concept the same thing? [Burge, by Segal] |
8073 | How do we parse 'time flies like an arrow' and 'fruit flies like an apple'? [Devlin] |
8076 | The distinction between sentences and abstract propositions is crucial in logic [Devlin] |
14349 | If there are no finks or antidotes at the fundamental level, the laws can't be ceteris paribus [Burge, by Corry] |
3029 | Stilpo said if Athena is a daughter of Zeus, then a statue is only the child of a sculptor, and so is not a god [Stilpo, by Diog. Laertius] |