15 ideas
23367 | Even pointing a finger should only be done for a reason [Epictetus] |
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] |
18228 | An end can't be an ultimate value just because it is useless! [Korsgaard] |
18225 | If we can't reason about value, we can reason about the unconditional source of value [Korsgaard] |
18224 | Goodness is given either by a psychological state, or the attribution of a property [Korsgaard] |
18233 | Contemplation is final because it is an activity which is not a process [Korsgaard] |
18226 | For Aristotle, contemplation consists purely of understanding [Korsgaard] |