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] |
22076 | Being is only perceptible to itself as becoming [Schelling] |
22074 | We must show that the whole of nature, because it is effective, is grounded in freedom [Schelling] |
22075 | Only idealism has given us the genuine concept of freedom [Schelling] |
2176 | There is only a problem of free will if you think the notion of 'voluntary' can be metaphysically deepened [Williams,B] |
2181 | It is an absurd Kantian idea that at the limit rationality and freedom coincide [Williams,B] |
4317 | We judge weakness of will by an assessment after the event is concluded [Williams,B, by Cottingham] |
2174 | Responsibility involves cause, intention, state of mind, and response after the event [Williams,B] |
2178 | In bad actions, guilt points towards victims, and shame to the agent [Williams,B] |
2169 | Greek moral progress came when 'virtue' was freed from social status [Williams,B] |
2172 | The modern idea of duty is unknown in archaic Greece [Williams,B] |
2179 | If the moral self is seen as characterless, then other people have a very limited role in our moral lives [Williams,B] |
2180 | If reason cannot lead people to good, we must hope they have an internal voice [Williams,B] |
2175 | There is a problem of evil only if you expect the world to be good [Williams,B] |