12 ideas
10476 | The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W] |
10478 | Since first-order languages are complete, |= and |- have the same meaning [Hodges,W] |
10477 | |= in model-theory means 'logical consequence' - it holds in all models [Hodges,W] |
10474 | |= should be read as 'is a model for' or 'satisfies' [Hodges,W] |
10473 | Model theory studies formal or natural language-interpretation using set-theory [Hodges,W] |
10475 | A 'structure' is an interpretation specifying objects and classes of quantification [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] |
23829 | National leaders want to preserve necessary order - but always the existing order [Weil] |
23828 | National prestige consists of behaving as if you could beat the others in a war [Weil] |
23827 | Modern wars are fought in the name of empty words which are given capital letters [Weil] |
1558 | Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus] |