20 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] |
21695 | The set scheme discredited by paradoxes is actually the most natural one [Quine] |
21693 | Russell's antinomy challenged the idea that any condition can produce a set [Quine] |
17894 | We have no argument to show a statement is absolutely undecidable [Koellner] |
21691 | Antinomies contradict accepted ways of reasoning, and demand revisions [Quine] |
21690 | Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on [Quine] |
21689 | A barber shaves only those who do not shave themselves. So does he shave himself? [Quine] |
21694 | Membership conditions which involve membership and non-membership are paradoxical [Quine] |
21692 | If we write it as '"this sentence is false" is false', there is no paradox [Quine] |
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] |
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] |