23 ideas
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] |
7720 | Two things can only resemble one another in some respect, and that may reintroduce a universal [Lowe] |
7712 | On substances, Leibniz emphasises unity, Spinoza independence, Locke relations to qualities [Lowe] |
7710 | Perception is a mode of belief-acquisition, and does not involve sensation [Lowe] |
7711 | Science requires a causal theory - perception of an object must be an experience caused by the object [Lowe] |
5662 | Maybe induction could never prove the existence of something unobservable [Ayer] |
5664 | Consciousness must involve a subject, and only bodies identify subjects [Ayer] |
5668 | People own conscious states because they are causally related to the identifying body [Ayer] |
5661 | We identify experiences by their owners, so we can't define owners by their experiences [Ayer] |
7714 | Personal identity is a problem across time (diachronic) and at an instant (synchronic) [Lowe] |
5665 | Memory is the best proposal as what unites bundles of experiences [Ayer] |
5666 | Not all exerience can be remembered, as this would produce an infinite regress [Ayer] |
5669 | Personal identity can't just be relations of experiences, because the body is needed to identify them [Ayer] |
7715 | Mentalese isn't a language, because it isn't conventional, or a means of public communication [Lowe] |
7722 | If meaning is mental pictures, explain "the cat (or dog!) is NOT on the mat" [Lowe] |