16 ideas
14767 | The demonstrations of the metaphysicians are all moonshine [Peirce] |
14764 | I am saturated with the spirit of physical science [Peirce] |
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] |
3570 | Maybe knowledge is belief which 'tracks' the truth [Nozick, by Williams,M] |
14768 | Infallibility in science is just a joke [Peirce] |
14765 | Association of ideas is the best philosophical idea of the prescientific age [Peirce] |
2748 | A true belief isn't knowledge if it would be believed even if false. It should 'track the truth' [Nozick, by Dancy,J] |
14766 | Duns Scotus offers perhaps the best logic and metaphysics for modern physical science [Peirce] |