15 ideas
22642 | Man has an intense natural interest in the consistency of his own thinking [James] |
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] |
6402 | In 1927, Russell analysed force and matter in terms of events [Russell, by Grayling] |
22641 | Realities just are, and beliefs are true of them [James] |
14732 | A perceived physical object is events grouped around a centre [Russell] |
14733 | An object produces the same percepts with or without a substance, so that is irrelevant to science [Russell] |
6418 | Russell rejected phenomenalism because it couldn't account for causal relations [Russell, by Grayling] |
22640 | We find satisfaction in consistency of all of our beliefs, perceptions and mental connections [James] |
21706 | At first matter is basic and known by sense-data; later Russell says matter is constructed [Russell, by Linsky,B] |