19 ideas
16123 | Whenever you perceive a community of things, you should also hunt out differences in the group [Plato] |
16125 | To reveal a nature, divide down, and strip away what it has in common with other things [Plato] |
16124 | No one wants to define 'weaving' just for the sake of weaving [Plato] |
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] |
5961 | The soul gets its goodness from god, and its evil from previous existence. [Plato] |
22363 | You have only begun to do real science when you can express it in numbers [Kelvin] |
283 | The question of whether or not to persuade comes before the science of persuasion [Plato] |
282 | Non-physical beauty can only be shown clearly by speech [Plato] |
281 | The arts produce good and beautiful things by preserving the mean [Plato] |
22559 | Democracy is the worst of good constitutions, but the best of bad constitutions [Plato, by Aristotle] |
20644 | Energy has progressed from a mere formula, to a principle pervading all nature [Kelvin] |
279 | Only divine things can always stay the same, and bodies are not like that [Plato] |