16 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] |
15148 | Powers give explanations, without being necessary for some class membership [Chakravartty] |
15145 | A kind essence is the necessary and sufficient properties for membership of a class [Chakravartty] |
15147 | Cluster kinds are explained simply by sharing some properties, not by an 'essence' [Chakravartty] |
19699 | A Gettier case is a belief which is true, and its fallible justification involves some luck [Hetherington] |
15144 | Explanation of causal phenomena concerns essential kinds - but also lack of them [Chakravartty] |
15146 | Some kinds, such as electrons, have essences, but 'cluster kinds' do not [Chakravartty] |
15151 | Many causal laws do not refer to kinds, but only to properties [Chakravartty] |