14 ideas
6859 | Analytic philosophy has much higher standards of thinking than continental philosophy [Williamson] |
6862 | Fuzzy logic uses a continuum of truth, but it implies contradictions [Williamson] |
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] |
6858 | Formal logic struck me as exactly the language I wanted to think in [Williamson] |
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] |
6863 | Close to conceptual boundaries judgement is too unreliable to give knowledge [Williamson] |
6861 | What sort of logic is needed for vague concepts, and what sort of concept of truth? [Williamson] |
6860 | How can one discriminate yellow from red, but not the colours in between? [Williamson] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |