18 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] |
22465 | We see a moral distinction between doing and allowing to happen [Foot] |
22466 | We see a moral distinction between our aims and their foreseen consequences [Foot] |
22467 | Acts and omissions only matter if they concern doing something versus allowing it [Foot] |
12163 | Literary meaning emerges in comparisons, and tradition shows which comparisons are relevant [Scruton] |
12162 | In literature, word replacement changes literary meaning [Scruton] |
12159 | Without intentions we can't perceive sculpture, but that is not the whole story [Scruton] |
12160 | In aesthetic interest, even what is true is treated as though it were not [Scruton] |
12161 | We can be objective about conventions, but love of art is needed to understand its traditions [Scruton] |
22470 | A good moral system benefits its participants, and so demands reciprocity [Foot] |
22468 | Virtues can have aims, but good states of affairs are not among them [Foot] |
22469 | Some virtues imply rules, and others concern attachment [Foot] |