15 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] |
16978 | If conceivability is a priori coherence, that implies possibility [Tahko] |
16975 | Essences are used to explain natural kinds, modality, and causal powers [Tahko] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
16976 | Scientific essentialists tend to characterise essence in terms of modality (not vice versa) [Tahko] |
16977 | If essence is modal and laws are necessary, essentialist knowledge is found by scientists [Tahko] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |