18 ideas
6855 | Interesting philosophers hardly every give you explicitly valid arguments [Martin,M] |
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
6856 | Valid arguments can be rejected by challenging the premises or presuppositions [Martin,M] |
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] |
22868 | The value and truth of knowledge are measured by success in activity [Dewey] |
6857 | An error theory of perception says our experience is not as it seems to be [Martin,M] |
22865 | Habits constitute the self [Dewey] |
22871 | The good people are those who improve; the bad are those who deteriorate [Dewey] |
22876 | Democracy is the development of human nature when it shares in the running of communal activities [Dewey] |
22875 | Democracy is not just a form of government; it is a mode of shared living [Dewey] |
22874 | Individuality is only developed within groups [Dewey] |