18 ideas
23326 | In the third century Stoicism died out, replaced by Platonism, with Aristotelian ethics [Frede,M] |
23335 | In late antiquity nearly all philosophers were monotheists [Frede,M] |
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] |
15990 | Every individual thing which exists has an essence, which is its internal constitution [Locke] |
15994 | If it is knowledge, it is certain; if it isn't certain, it isn't knowledge [Locke] |
23337 | The Stoics needed free will, to allow human choices in a divinely providential cosmos [Frede,M] |
23334 | For Christians man has free will by creation in God's image (as in Genesis) [Frede,M] |
23333 | The idea of free will achieved universal acceptance because of Christianity [Frede,M] |
23336 | There is no will for Plato or Aristotle, because actions come directly from perception of what is good [Frede,M] |
23313 | The Gnostic demiurge (creator) is deluded, and doesn't care about us [Frede,M] |