14 ideas
6253 | Reason is our power of finding out true propositions [Hutcheson] |
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] |
19087 | The meaning or purport of a symbol is all the rational conduct it would lead to [Peirce] |
6256 | Can't the moral sense make mistakes, as the other senses do? [Hutcheson] |
6252 | Happiness is a pleasant sensation, or continued state of such sensations [Hutcheson] |
6257 | You can't form moral rules without an end, which needs feelings and a moral sense [Hutcheson] |
6254 | We are asked to follow God's ends because he is our benefactor, but why must we do that? [Hutcheson] |
6255 | Why may God not have a superior moral sense very similar to ours? [Hutcheson] |