12 ideas
21855 | Only in the 1780s did it become acceptable to read Spinoza [Lord] |
17610 | The Axiom of Choice paradoxically allows decomposing a sphere into two identical spheres [Maddy] |
17620 | Critics of if-thenism say that not all starting points, even consistent ones, are worth studying [Maddy] |
17605 | Hilbert's geometry and Dedekind's real numbers were role models for axiomatization [Maddy] |
17625 | If two mathematical themes coincide, that suggest a single deep truth [Maddy] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
18200 | Very large sets should be studied in an 'if-then' spirit [Putnam] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
18199 | Indispensability strongly supports predicative sets, and somewhat supports impredicative sets [Putnam] |
8857 | We must quantify over numbers for science; but that commits us to their existence [Putnam] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
21866 | Hobbes and Spinoza use 'conatus' to denote all endeavour for advantage in nature [Lord] |