11 ideas
9193 | ZF set theory has variables which range over sets, 'equals' and 'member', and extensionality [Dummett] |
9194 | The main alternative to ZF is one which includes looser classes as well as sets [Dummett] |
9195 | Intuitionists reject excluded middle, not for a third value, but for possibility of proof [Dummett] |
9186 | First-order logic concerns objects; second-order adds properties, kinds, relations and functions [Dummett] |
9187 | Logical truths and inference are characterized either syntactically or semantically [Dummett] |
9191 | Ordinals seem more basic than cardinals, since we count objects in sequence [Dummett] |
9192 | The number 4 has different positions in the naturals and the wholes, with the same structure [Dummett] |
299 | What is fine is always difficult [Plato] |
8113 | Art is like understanding a natural language, and needs a grasp of a symbol system [Goodman, by Gardner] |
297 | What is fine is the parent of goodness [Plato] |
298 | While sex is very pleasant, it should be in secret, as it looks contemptible [Plato] |