14 ideas
| 15946 | Cantor developed sets from a progression into infinity by addition, multiplication and exponentiation [Cantor, by Lavine] |
| 15911 | Ordinals are generated by endless succession, followed by a limit ordinal [Cantor, by Lavine] |
| 8784 | Neo-logicism founds arithmetic on Hume's Principle along with second-order logic [Hale/Wright] |
| 8787 | The Julius Caesar problem asks for a criterion for the concept of a 'number' [Hale/Wright] |
| 8788 | Logicism is only noteworthy if logic has a privileged position in our ontology and epistemology [Hale/Wright] |
| 8783 | Logicism might also be revived with a quantificational approach, or an abstraction-free approach [Hale/Wright] |
| 8786 | One first-order abstraction principle is Frege's definition of 'direction' in terms of parallel lines [Hale/Wright] |
| 8124 | The highest feelings of mankind can only be transmitted by art [Tolstoy] |
| 8121 | Art is when one man uses external signs to hand on his feelings to another man [Tolstoy] |
| 8122 | True works of art transmit completely new feelings [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] |
| 8064 | We separate the concept of beauty from goodness, unlike the ancients [Tolstoy] |
| 8125 | The upper classes put beauty first, and thus freed themselves from morality [Tolstoy] |