11 ideas
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] |
23857 | People in power always try to increase their power [Weil] |
23856 | Spontaneous movements are powerless against organised repression [Weil] |
23859 | True democracy is the subordination of society to the individual [Weil] |
23858 | War is perpetuated by its continual preparations [Weil] |
23860 | Even if a drowning man is doomed, he should keep swimming to the last [Weil] |