20 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] |
18073 | Dummett says classical logic rests on meaning as truth, while intuitionist logic rests on assertability [Dummett, by Kitcher] |
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] |
8082 | Where a conditional is purely formal, an implication implies a link between premise and conclusion [Devlin] |
8072 | Sentences of apparent identical form can have different contextual meanings [Devlin] |
19057 | Classical quantification is an infinite conjunction or disjunction - but you may not know all the instances [Dummett] |
8075 | Space and time are atomic in the arrow, and divisible in the tortoise [Devlin] |
3291 | Emergent properties appear at high levels of complexity, but aren't explainable by the lower levels [Nagel] |
8088 | People still say the Hopi have no time concepts, despite Whorf's later denial [Devlin] |
19055 | Stating a sentence's truth-conditions is just paraphrasing the sentence [Dummett] |
19056 | If a sentence is effectively undecidable, we can never know its truth conditions [Dummett] |
19054 | Meaning as use puts use beyond criticism, and needs a holistic view of language [Dummett] |
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] |
3290 | Given the nature of heat and of water, it is literally impossible for water not to boil at the right heat [Nagel] |