19 ideas
11064 | Classes can be reduced to propositional functions [Russell, by Hanna] |
6407 | The class of classes which lack self-membership leads to a contradiction [Russell, by Grayling] |
17809 | Gödel showed that the syntactic approach to the infinite is of limited value [Kreisel] |
17810 | The study of mathematical foundations needs new non-mathematical concepts [Kreisel] |
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] |
23513 | Single neurons can carry out complex functions [Seth] |
23514 | The cerbellum has a huge number of neurons, but little involvement in consciousness [Seth] |
23516 | Maybe a system is conscious if the whole generates more information than its parts [Seth] |
23519 | The self is embodied, perspectival, volitional, narrative and social [Seth, by PG] |
23518 | Modern AI is mostly machine-based pattern recognition [Seth] |
23517 | Volition is felt as doing what you want, with possible alternatives, and a source from within [Seth] |
23515 | Human exceptionalism plagues biology, and most other human thinking [Seth] |
17811 | The natural conception of points ducks the problem of naming or constructing each point [Kreisel] |