15 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] |
468 | Musical performance can reveal a range of virtues [Damon of Ath.] |
4125 | Hare says I acquire an agglomeration of preferences by role-reversal, leading to utilitarianism [Hare, by Williams,B] |
4126 | If we have to want the preferences of the many, we have to abandon our own deeply-held views [Williams,B on Hare] |
4127 | If morality is to be built on identification with the preferences of others, I must agree with their errors [Williams,B on Hare] |
22483 | A judgement is presciptive if we expect it to be acted on [Hare] |
4360 | By far the easiest way of seeming upright is to be upright [Hare] |