20 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] |
12893 | Contextualism says sceptical arguments are true, relative to their strict context [Cohen,S] |
12896 | Knowledge is context-sensitive, because justification is [Cohen,S] |
12894 | There aren't invariant high standards for knowledge, because even those can be raised [Cohen,S] |
23865 | Morality would improve if people could pursue private interests [Weil] |
23866 | In oppressive societies the scope of actual control is extended by a religion of power [Weil] |
23871 | No central authority can initiate decentralisation [Weil] |
23867 | After a bloody revolution the group which already had the power comes to the fore [Weil] |
23870 | Decentralisation is only possible by co-operation between strong and weak - which is absurd [Weil] |
23863 | Only individual people of good will can achieve social progress [Weil] |
23869 | In the least evil societies people can think, control community life, and be autonomous [Weil] |
23861 | Marx showed that capitalist oppression, because of competition, is unstoppable [Weil] |
23868 | The pleasure of completing tasks motivates just as well as the whip of slavery [Weil] |
23864 | Inequality could easily be mitigated, if it were not for the struggle for power [Weil] |