19 ideas
8952 | We reach 'reflective equilibrium' when intuitions and theory completely align [Fisher] |
10476 | The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W] |
8943 | Three-valued logic says excluded middle and non-contradition are not tautologies [Fisher] |
8945 | Fuzzy logic has many truth values, ranging in fractions from 0 to 1 [Fisher] |
10478 | Since first-order languages are complete, |= and |- have the same meaning [Hodges,W] |
8951 | Classical logic is: excluded middle, non-contradiction, contradictions imply all, disjunctive syllogism [Fisher] |
10477 | |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W] |
8950 | Logic formalizes how we should reason, but it shouldn't determine whether we are realists [Fisher] |
10474 | |= should be read as 'is a model for' or 'satisfies' [Hodges,W] |
10475 | A 'structure' is an interpretation specifying objects and classes of quantification [Hodges,W] |
10473 | Model theory studies formal or natural language-interpretation using set-theory [Hodges,W] |
10481 | Models in model theory are structures, not sets of descriptions [Hodges,W] |
10480 | First-order logic can't discriminate between one infinite cardinal and another [Hodges,W] |
8946 | We could make our intuitions about heaps precise with a million-valued logic [Fisher] |
8944 | Vagueness can involve components (like baldness), or not (like boredom) [Fisher] |
8941 | We can't explain 'possibility' in terms of 'possible' worlds [Fisher] |
8947 | If all truths are implied by a falsehood, then not-p might imply both q and not-q [Fisher] |
8949 | In relevance logic, conditionals help information to flow from antecedent to consequent [Fisher] |
5845 | Niceratus learnt the whole of Homer by heart, as a guide to goodness [Xenophon] |