15 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
12268 | Contradiction is impossible [Antisthenes (I), by Aristotle] |
10476 | The idea that groups of concepts could be 'implicitly defined' was abandoned [Hodges,W] |
602 | Some fools think you cannot define anything, but only say what it is like [Antisthenes (I), by Aristotle] |
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] |
1664 | I would rather go mad than experience pleasure [Antisthenes (I)] |
21385 | Antisthenes said virtue is teachable and permanent, is life's goal, and is like universal wealth [Antisthenes (I), by Long] |
293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
2631 | Antisthenes says there is only one god, which is nature [Antisthenes (I), by Cicero] |