18 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] |
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] |
3597 | Foundations need not precede other beliefs [Wittgenstein] |
3596 | Total doubt can't even get started [Wittgenstein, by Williams,M] |
8329 | Either causal relations are given in experience, or they are unobserved and theoretical [Sosa/Tooley] |
4721 | If you are not certain of any fact, you cannot be certain of the meaning of your words either [Wittgenstein] |
8324 | The problem is to explain how causal laws and relations connect, and how they link to the world [Sosa/Tooley] |
8327 | If direction of causation is just direction of energy transfer, that seems to involve causation [Sosa/Tooley] |
8328 | Causation isn't energy transfer, because an electron is caused by previous temporal parts [Sosa/Tooley] |
8330 | Are causes sufficient for the event, or necessary, or both? [Sosa/Tooley] |
8325 | The dominant view is that causal laws are prior; a minority say causes can be explained singly [Sosa/Tooley] |