9 ideas
5035 | The two basics of reasoning are contradiction and sufficient reason [Leibniz] |
9616 | A set is a collection into a whole of distinct objects of our intuition or thought [Cantor] |
15896 | Cantor needed Power Set for the reals, but then couldn't count the new collections [Cantor, by Lavine] |
10580 | Mathematics is both necessary and a priori because it really consists of logical truths [Yablo] |
10579 | Putting numbers in quantifiable position (rather than many quantifiers) makes expression easier [Yablo] |
10577 | Concrete objects have few essential properties, but properties of abstractions are mostly essential [Yablo] |
10578 | We are thought to know concreta a posteriori, and many abstracta a priori [Yablo] |
5038 | Assume that mind and body follow their own laws, but God has harmonised them [Leibniz] |
5037 | God doesn't decide that Adam will sin, but that sinful Adam's existence is to be preferred [Leibniz] |