16 ideas
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
22664 | I do not care if my trivial beliefs are false, and I have no interest in many truths [Nozick] |
22665 | Maybe James was depicting the value of truth, and not its nature [Nozick] |
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] |
22663 | Rationality is normally said to concern either giving reasons, or reliability [Nozick] |
22662 | In the instrumental view of rationality it only concerns means, and not ends [Nozick] |
22666 | Is it rational to believe a truth which leads to permanent misery? [Nozick] |
22667 | Rationality needs some self-consciousness, to also evaluate how we acquired our reasons [Nozick] |
9591 | The human intellect has not been, and cannot be, fully formalized [Nagel/Newman] |