15 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] |
1630 | We can only see an alien language in terms of our own thought structures (e.g. physical/abstract) [Quine] |
5747 | "No entity without identity" - our ontology must contain items with settled identity conditions [Quine, by Melia] |
7925 | There is no proper identity concept for properties, and it is hard to distinguish one from two [Quine] |
13387 | Our conceptual scheme becomes more powerful when we posit abstract objects [Quine] |
8277 | I prefer 'no object without identity' to Quine's 'no entity without identity' [Lowe on Quine] |
1631 | You could know the complete behavioural conditions for a foreign language, and still not know their beliefs [Quine] |
1632 | Translation of our remote past or language could be as problematic as alien languages [Quine] |
21132 | Domination is probable obedience by some group of persons [Weber] |