35 ideas
| 1848 | We are coerced into assent to a truth by reason's violence [Aquinas] |
| 1858 | The mind is compelled by necessary truths, but not by contingent truths [Aquinas] |
| 1852 | For the mind Good is one truth among many, and Truth is one good among many [Aquinas] |
| 9550 | We only know relational facts about the empty set, but nothing intrinsic [Chihara] |
| 9562 | In simple type theory there is a hierarchy of null sets [Chihara] |
| 9572 | Realists about sets say there exists a null set in the real world, with no members [Chihara] |
| 9573 | The null set is a structural position which has no other position in membership relation [Chihara] |
| 9551 | What is special about Bill Clinton's unit set, in comparison with all the others? [Chihara] |
| 9549 | The set theorist cannot tell us what 'membership' is [Chihara] |
| 9571 | ZFU refers to the physical world, when it talks of 'urelements' [Chihara] |
| 9563 | A pack of wolves doesn't cease when one member dies [Chihara] |
| 9561 | The mathematics of relations is entirely covered by ordered pairs [Chihara] |
| 9552 | Sentences are consistent if they can all be true; for Frege it is that no contradiction can be deduced [Chihara] |
| 9553 | Analytic geometry gave space a mathematical structure, which could then have axioms [Chihara] |
| 10192 | We can replace existence of sets with possibility of constructing token sentences [Chihara, by MacBride] |
| 9559 | If a successful theory confirms mathematics, presumably a failed theory disconfirms it? [Chihara] |
| 9566 | No scientific explanation would collapse if mathematical objects were shown not to exist [Chihara] |
| 1860 | Knowledge may be based on senses, but we needn't sense all our knowledge [Aquinas] |
| 1855 | If we saw something as totally and utterly good, we would be compelled to will it [Aquinas] |
| 1853 | Because the will moves by examining alternatives, it doesn't compel itself to will [Aquinas] |
| 1849 | Since will is a reasoning power, it can entertain opposites, so it is not compelled to embrace one of them [Aquinas] |
| 1861 | The will is not compelled to move, even if pleasant things are set before it [Aquinas] |
| 1862 | However habituated you are, given time to ponder you can go against a habit [Aquinas] |
| 1856 | Nothing can be willed except what is good, but good is very varied, and so choices are unpredictable [Aquinas] |
| 1854 | We must admit that when the will is not willing something, the first movement to will must come from outside the will [Aquinas] |
| 9568 | I prefer the open sentences of a Constructibility Theory, to Platonist ideas of 'equivalence classes' [Chihara] |
| 9547 | Mathematical entities are causally inert, so the causal theory of reference won't work for them [Chihara] |
| 1857 | We don't have to will even perfect good, because we can choose not to think of it [Aquinas] |
| 1846 | The will can only want what it thinks is good [Aquinas] |
| 1847 | The will must aim at happiness, but can choose the means [Aquinas] |
| 1850 | Without free will not only is ethical action meaningless, but also planning, commanding, praising and blaming [Aquinas] |
| 1851 | Good applies to goals, just as truth applies to ideas in the mind [Aquinas] |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
| 1859 | Even a sufficient cause doesn't compel its effect, because interference could interrupt the process [Aquinas] |
| 9574 | 'Gunk' is an individual possessing no parts that are atoms [Chihara] |