15 ideas
21054 | Reason enables the unbounded extension of our rules and intentions [Kant] |
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] |
3597 | Foundations need not precede other beliefs [Wittgenstein] |
3596 | Total doubt can't even get started [Wittgenstein, by Williams,M] |
21053 | The manifest will in the world of phenomena has to conform to the laws of nature [Kant] |
4721 | If you are not certain of any fact, you cannot be certain of the meaning of your words either [Wittgenstein] |
21055 | Our aim is a constitution which combines maximum freedom with strong restraint [Kant] |
21056 | The vitality of business needs maximum freedom (while avoiding harm to others) [Kant] |
21057 | The highest ideal of social progress is a universal cosmopolitan existence [Kant] |