15 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] |
| 9159 | You can't simply convert geometry into algebra, as some spatial content is lost [Burge] |
| 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] |
| 8122 | True works of art transmit completely new feelings [Tolstoy] |
| 8121 | Art is when one man uses external signs to hand on his feelings to another man [Tolstoy] |
| 8124 | The highest feelings of mankind can only be transmitted by art [Tolstoy] |
| 8123 | The purpose of art is to help mankind to evolve better, more socially beneficial feelings [Tolstoy] |
| 22710 | People estimate art according to their moral values [Tolstoy] |
| 8125 | The upper classes put beauty first, and thus freed themselves from morality [Tolstoy] |
| 8064 | We separate the concept of beauty from goodness, unlike the ancients [Tolstoy] |