17 ideas
291 | Don't assume that wisdom is the automatic consequence of old age [Plato] |
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] |
12066 | Aristotelian and Kripkean essentialism are very different theories [Witt] |
12067 | An Aristotelian essence is a nonlinguistic correlate of the definition [Witt] |
12082 | If unity is a matter of degree, then essence may also be a matter of degree [Witt] |
12089 | Essences mainly explain the existence of unified substance [Witt] |
12102 | Essential properties of origin are too radically individual for an Aristotelian essence [Witt] |
293 | Being unafraid (perhaps through ignorance) and being brave are two different things [Plato] |
12085 | Reality is directional [Witt] |