18 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] |
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] |
7621 | Special relativity, unlike general relativity, was operationalist in spirit [Putnam on Einstein] |
22824 | Magna Carta forbids prison without trial, and insists on neutral and correct process [-, by Charvet] |
22955 | Einstein took causation to be the bedrock of physics [Einstein, by Coveney/Highfield] |
20638 | General relativity assumes laws of nature are the same in all frames of reference [Einstein, by Close] |
20636 | Newton is a special case of Einstein's general theory, with an infinite speed of light [Einstein, by Close] |
21230 | The theory is 'special' because it sticks to observers moving straight, at constant speeds [Einstein, by Farmelo] |
21231 | Assume the speed of light is constant for all observers, and the laws of physics are the same [Einstein, by Farmelo] |
20634 | General Relativity says there is no absolute force or acceleration [Einstein, by Close] |
20648 | Mass is a measure of energy content [Einstein] |
21232 | Space-time arises from the connection between measurements of space and of time [Einstein, by Farmelo] |
7626 | I do not believe in a personal God [Einstein] |