9 ideas
10245 | One geometry cannot be more true than another [Poincaré] |
15923 | Poincaré rejected the actual infinite, claiming definitions gave apparent infinity to finite objects [Poincaré, by Lavine] |
10180 | Mathematicians do not study objects, but relations between objects [Poincaré] |
9916 | Convention, yes! Arbitrary, no! [Poincaré, by Putnam] |
18203 | Avoid non-predicative classifications and definitions [Poincaré] |
6027 | From the fact that some men die, we cannot infer that they all do [Philodemus] |
22241 | Don't fear god or worry about death; the good is easily got and the terrible easily cured [Philodemus] |
15877 | The aim of science is just to create a comprehensive, elegant language to describe brute facts [Poincaré, by Harré] |
1558 | Clearly the gods ignore human affairs, or they would have given us justice [Thrasymachus] |