12 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] |
18189 | ZFC could contain a contradiction, and it can never prove its own consistency [MacLane] |
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] |
19743 | A notebook counts as memory, if is available to consciousness and guides our actions [Clark/Chalmers] |
6176 | A mechanism can count as 'cognitive' whether it is in the brain or outside it [Clark/Chalmers, by Rowlands] |
19741 | If something in the world could equally have been a mental process, it is part of our cognition [Clark/Chalmers] |
19742 | Consciousness may not extend beyond the head, but cognition need not be conscious [Clark/Chalmers] |
19744 | If a person relies on their notes, those notes are parted of the extended system which is the person [Clark/Chalmers] |