13 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] |
19405 | Substances are in harmony, because they each express the one reality in themselves [Leibniz] |
17945 | Forms are not a theory of universals, but an attempt to explain how predication is possible [Nehamas] |
17946 | Only Tallness really is tall, and other inferior tall things merely participate in the tallness [Nehamas] |
17944 | 'Episteme' is better translated as 'understanding' than as 'knowledge' [Nehamas] |