16 ideas
19336 | Wisdom involves the desire to achieve perfection [Leibniz] |
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] |
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] |
7696 | Leibniz first asked 'why is there something rather than nothing?' [Leibniz, by Jacquette] |
19341 | There must be a straining towards existence in the essence of all possible things [Leibniz] |
19428 | Because something does exist, there must be a drive in possible things towards existence [Leibniz] |
5047 | The world is physically necessary, as its contrary would imply imperfection or moral absurdity [Leibniz] |
19343 | We follow the practical rule which always seeks maximum effect for minimum cost [Leibniz] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
19429 | The principle of determination in things obtains the greatest effect with the least effort [Leibniz] |