14 ideas
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
22104 | Truth is the conformity of being to intellect [Aquinas] |
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] |
22103 | Being is basic to thought, and all other concepts are additions to being [Aquinas] |
22593 | Our sensation of light may not be the same as what produces the sensation [Descartes] |
16569 | The Hot, Cold, Wet and Dry of the philosophers need themselves to be explained [Descartes] |
20964 | Descartes said there was conservation of 'quantity of motion' [Descartes, by Papineau] |