26 ideas
3972 | Truth and objectivity depend on a community of speakers to interpret what they mean [Davidson] |
3969 | There are no ultimate standards of rationality, since we only assess others by our own standard [Davidson] |
10041 | Impredicative Definitions refer to the totality to which the object itself belongs [Gödel] |
9565 | Zermelo made 'set' and 'member' undefined axioms [Zermelo, by Chihara] |
3339 | For Zermelo's set theory the empty set is zero and the successor of each number is its unit set [Zermelo, by Blackburn] |
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] |
3960 | There are no such things as minds, but people have mental properties [Davidson] |
3964 | If the mind is an anomaly, this makes reduction of the mental to the physical impossible [Davidson] |
3965 | Mental entities do not add to the physical furniture of the world [Davidson] |
3961 | Obviously all mental events are causally related to physical events [Davidson] |
3963 | There are no strict psychophysical laws connecting mental and physical events [Davidson] |
3966 | The correct conclusion is ontological monism combined with conceptual dualism [Davidson] |
3967 | Absence of all rationality would be absence of thought [Davidson] |
3974 | Our meanings are partly fixed by events of which we may be ignorant [Davidson] |
3968 | Propositions explain nothing without an explanation of how sentences manage to name them [Davidson] |
3970 | Thought is only fully developed if we communicate with others [Davidson] |
3971 | There is simply no alternative to the 'principle of charity' in interpreting what others do [Davidson] |
3973 | Without a teacher, the concept of 'getting things right or wrong' is meaningless [Davidson] |
3962 | Cause and effect relations between events must follow strict laws [Davidson] |