22 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] |
8978 | Events are made of other things, and are not fundamental to ontology [Bennett] |
3926 | The human heart has a natural concern for public good [Hume] |
3929 | No moral theory is of any use if it doesn't serve the interests of the individual concerned [Hume] |
3925 | Personal Merit is the possession of useful or agreeable mental qualities [Hume] |
3922 | Justice only exists to support society [Hume] |
23560 | If we all naturally had everything we could ever desire, the virtue of justice would be irrelevant [Hume] |
3918 | Moral philosophy aims to show us our duty [Hume] |
3919 | Conclusions of reason do not affect our emotions or decisions to act [Hume] |
3928 | Virtue just requires careful calculation and a preference for the greater happiness [Hume] |
3923 | No one would cause pain to a complete stranger who happened to be passing [Hume] |
3924 | Nature makes private affections come first, because public concerns are spread too thinly [Hume] |
3921 | The safety of the people is the supreme law [Hume] |
3927 | Society prefers helpful lies to harmful truth [Hume] |
3920 | If you equalise possessions, people's talents will make them unequal again [Hume] |
10364 | Facts are about the world, not in it, so they can't cause anything [Bennett] |