19 ideas
8092 | Logic was merely a branch of rhetoric until the scientific 17th century [Devlin] |
10528 | Definitions concern how we should speak, not how things are [Fine,K] |
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] |
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] |
8075 | Space and time are atomic in the arrow, and divisible in the tortoise [Devlin] |
10529 | If Hume's Principle can define numbers, we needn't worry about its truth [Fine,K] |
10530 | Hume's Principle is either adequate for number but fails to define properly, or vice versa [Fine,K] |
7458 | The reliability of witnesses depends on whether they benefit from their observations [Laplace, by Hacking] |
8088 | People still say the Hopi have no time concepts, despite Whorf's later denial [Devlin] |
3441 | If a supreme intellect knew all atoms and movements, it could know all of the past and the future [Laplace] |
10527 | An abstraction principle should not 'inflate', producing more abstractions than objects [Fine,K] |
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] |