26 ideas
18005 | Philosophy aims to become more disciplined about categories [Ryle] |
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] |
11064 | Classes can be reduced to propositional functions [Russell, by Hanna] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
6407 | The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling] |
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] |
10418 | Type theory seems an extreme reaction, since self-exemplification is often innocuous [Swoyer on Russell] |
10047 | Russell's improvements blocked mathematics as well as paradoxes, and needed further axioms [Russell, by Musgrave] |
23478 | Type theory means that features shared by different levels cannot be expressed [Morris,M on Russell] |
21718 | Ramified types can be defended as a system of intensional logic, with a 'no class' view of sets [Russell, by Linsky,B] |
18126 | A set does not exist unless at least one of its specifications is predicative [Russell, by Bostock] |
18128 | Russell is a conceptualist here, saying some abstracta only exist because definitions create them [Russell, by Bostock] |
18124 | Vicious Circle says if it is expressed using the whole collection, it can't be in the collection [Russell, by Bostock] |
14297 | A dispositional property is not a state, but a liability to be in some state, given a condition [Ryle] |
14300 | No physical scientist now believes in an occult force-exerting agency [Ryle] |
2622 | Can one movement have a mental and physical cause? [Ryle] |
1353 | Reporting on myself has the same problems as reporting on you [Ryle] |
1354 | We cannot introspect states of anger or panic [Ryle] |
2624 | I cannot prepare myself for the next thought I am going to think [Ryle] |
2620 | Dualism is a category mistake [Ryle] |
2388 | Behaviour depends on desires as well as beliefs [Chalmers on Ryle] |
3354 | You can't explain mind as dispositions, if they aren't real [Benardete,JA on Ryle] |
2387 | How can behaviour be the cause of behaviour? [Chalmers on Ryle] |