13 ideas
4298 | All items of possible human knowledge are interconnected, and can be reached by inference [Descartes] |
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] |
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] |
22445 | Morality shows murder is wrong, but not what counts as a murder [Foot] |
22444 | A moral system must deal with the dangers and benefits of life [Foot] |
22447 | Saying something 'just is' right or wrong creates an illusion of fact and objectivity [Foot] |
22448 | We sometimes just use the word 'should' to impose a rule of conduct on someone [Foot] |
22446 | In the case of something lacking independence, calling it a human being is a matter of choice [Foot] |