12 ideas
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] |
18253 | I wish to go straight from cardinals to reals (as ratios), leaving out the rationals [Frege] |
17615 | Every infinite set of reals is either countable or of the same size as the full set of reals [Maddy] |
17618 | Set-theory tracks the contours of mathematical depth and fruitfulness [Maddy] |
17614 | The connection of arithmetic to perception has been idealised away in modern infinitary mathematics [Maddy] |
18166 | The loss of my Rule V seems to make foundations for arithmetic impossible [Frege] |
18269 | Logical objects are extensions of concepts, or ranges of values of functions [Frege] |
22381 | Being a good father seems to depend on intentions, rather than actual abilities [Foot] |
22380 | Some words, such as 'knife', have a meaning which involves its function [Foot] |