24 ideas
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
21716 | In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B] |
9406 | A class is natural when everybody can spot further members of it [Quinton] |
10035 | Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel] |
10042 | Reference to a totality need not refer to a conjunction of all its elements [Gödel] |
10038 | A logical system needs a syntactical survey of all possible expressions [Gödel] |
10046 | The generalized Continuum Hypothesis asserts a discontinuity in cardinal numbers [Gödel] |
10039 | Some arithmetical problems require assumptions which transcend arithmetic [Gödel] |
10043 | Mathematical objects are as essential as physical objects are for perception [Gödel] |
10045 | Impredicative definitions are admitted into ordinary mathematics [Gödel] |
15730 | Extreme nominalists say all classification is arbitrary convention [Quinton] |
15728 | The naturalness of a class depends as much on the observers as on the objects [Quinton] |
9407 | Properties imply natural classes which can be picked out by everybody [Quinton] |
15729 | Uninstantiated properties must be defined using the instantiated ones [Quinton] |
8520 | An individual is a union of a group of qualities and a position [Quinton, by Campbell,K] |
23438 | Full rationality must include morality [Foot] |
23437 | Practical reason is goodness in choosing actions [Foot] |
23436 | It is an odd Humean view to think a reason to act must always involve caring [Foot] |
23431 | Human defects are just like plant or animal defects [Foot] |
23433 | Humans need courage like a plant needs roots [Foot] |
23432 | Concepts such as function, welfare, flourishing and interests only apply to living things [Foot] |
23434 | There is no fact-value gap in 'owls should see in the dark' [Foot] |
23439 | Principles are not ultimate, but arise from the necessities of human life [Foot] |
23435 | If you demonstrate the reason to act, there is no further question of 'why should I?' [Foot] |