15 ideas
| 10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
| 13157 | Choose the true hypothesis, which is the most intelligible one [Leibniz] |
| 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] |
| 13158 | The Copernican theory is right because it is the only one offering a good explanation [Leibniz] |
| 23169 | Democratic institutions become impossible in a fanatical democracy [Russell] |
| 23170 | Liberal opinions are tentative rather than dogmatic, and are always responsive to new evidence [Russell] |
| 23172 | Empiricist Liberalism is the only view for someone who favours scientific evidence and happiness [Russell] |
| 23171 | Empiricism is ethically superior, because dogmatism favours persecution and hatred [Russell] |