17 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] |
18529 | Relations are expressed either as absolute facts, or by a relational concept [William of Ockham] |
16779 | Cut wood doesn't make a new substance, but seems to make separate subjects [William of Ockham] |
16757 | Hot water naturally cools down, which is due to the substantial form of the water [William of Ockham] |
9102 | If an animal approached from a distance, we might abstract 'animal' from one instance [William of Ockham] |
10732 | If concepts are just recognitional, then general judgements would be impossible [Geach] |
9114 | There are no secure foundations to prove the separate existence of mind, in reason or experience [William of Ockham] |
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] |
9115 | To love God means to love whatever God wills to be loved [William of Ockham] |