17 ideas
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
18369 | There are at least fourteen candidates for truth-bearers [Kirkham] |
19318 | A 'sequence' of objects is an order set of them [Kirkham] |
19319 | If one sequence satisfies a sentence, they all do [Kirkham] |
19320 | If we define truth by listing the satisfactions, the supply of predicates must be finite [Kirkham] |
21716 | In simple type theory the axiom of Separation is better than Reducibility [Gödel, by Linsky,B] |
19315 | In quantified language the components of complex sentences may not be sentences [Kirkham] |
10035 | Mathematical Logic is a non-numerical branch of mathematics, and the supreme science [Gödel] |
18946 | Unreflectively, we all assume there are nonexistents, and we can refer to them [Reimer] |
10042 | Reference to a totality need not refer to a conjunction of all its elements [Gödel] |
19317 | An open sentence is satisfied if the object possess that property [Kirkham] |
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] |
19322 | Why can there not be disjunctive, conditional and negative facts? [Kirkham] |