14 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] |
21563 | The 'no classes' theory says the propositions just refer to the members [Russell] |
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] |
21565 | Richard's puzzle uses the notion of 'definition' - but that cannot be defined [Russell] |
21564 | Vicious Circle: what involves ALL must not be one of those ALL [Russell] |
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] |
15312 | We get the idea of power by abstracting from ropes, magnets and electric shocks [Priestley] |
15311 | Attraction or repulsion are not imparted to matter, but actually constitute it [Priestley] |