29 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] |
13011 | New axioms are being sought, to determine the size of the continuum [Maddy] |
13013 | The Axiom of Extensionality seems to be analytic [Maddy] |
13014 | Extensional sets are clearer, simpler, unique and expressive [Maddy] |
13021 | The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy] |
13022 | Infinite sets are essential for giving an account of the real numbers [Maddy] |
13023 | The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy] |
13024 | Efforts to prove the Axiom of Choice have failed [Maddy] |
13025 | Modern views say the Choice set exists, even if it can't be constructed [Maddy] |
13026 | A large array of theorems depend on the Axiom of Choice [Maddy] |
13019 | The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy] |
13018 | Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy] |
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] |
1856 | Nothing can be willed except what is good, but good is very varied, and so choices are unpredictable [Aquinas] |
1862 | However habituated you are, given time to ponder you can go against a habit [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] |
1853 | Because the will moves by examining alternatives, it doesn't compel itself to will [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] |
16383 | Puzzled Pierre has two mental files about the same object [Recanati on Kripke] |
1847 | The will must aim at happiness, but can choose the means [Aquinas] |
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] |
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] |
1859 | Even a sufficient cause doesn't compel its effect, because interference could interrupt the process [Aquinas] |