16 ideas
17884 | Mathematical set theory has many plausible stopping points, such as finitism, and predicativism [Koellner] |
17893 | 'Reflection principles' say the whole truth about sets can't be captured [Koellner] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
17890 | There are at least eleven types of large cardinal, of increasing logical strength [Koellner] |
17887 | PA is consistent as far as we can accept, and we expand axioms to overcome limitations [Koellner] |
17891 | Arithmetical undecidability is always settled at the next stage up [Koellner] |
10735 | Abstraction from objects won't reveal an operation's being performed 'so many times' [Geach] |
6402 | In 1927, Russell analysed force and matter in terms of events [Russell, by Grayling] |
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] |
10732 | If concepts are just recognitional, then general judgements would be impossible [Geach] |
10731 | For abstractionists, concepts are capacities to recognise recurrent features of the world [Geach] |
10733 | The abstractionist cannot explain 'some' and 'not' [Geach] |
10734 | Only a judgement can distinguish 'striking' from 'being struck' [Geach] |
21706 | At first matter is basic and known by sense-data; later Russell says matter is constructed [Russell, by Linsky,B] |