33 ideas
17621 | What matters in mathematics is its objectivity, not the existence of the objects [Dummett] |
10537 | The ordered pairs <x,y> can be reduced to the class of sets of the form {{x},{x,y}} [Dummett] |
10542 | To associate a cardinal with each set, we need the Axiom of Choice to find a representative [Dummett] |
9038 | We must distinguish what the speaker denotes by a name, from what the name denotes [Evans] |
5824 | How can an expression be a name, if names can change their denotation? [Evans] |
9042 | A private intention won't give a name a denotation; the practice needs it to be made public [Evans] |
9041 | The Causal Theory of Names is wrong, since the name 'Madagascar' actually changed denotation [Evans] |
10554 | Intuitionists find the Incompleteness Theorem unsurprising, since proof is intuitive, not formal [Dummett] |
10552 | Intuitionism says that totality of numbers is only potential, but is still determinate [Dummett] |
10515 | Ostension is possible for concreta; abstracta can only be referred to via other objects [Dummett, by Hale] |
10544 | The concrete/abstract distinction seems crude: in which category is the Mistral? [Dummett] |
10546 | We don't need a sharp concrete/abstract distinction [Dummett] |
10540 | We can't say that light is concrete but radio waves abstract [Dummett] |
10548 | The context principle for names rules out a special philosophical sense for 'existence' [Dummett] |
10281 | The objects we recognise the world as containing depends on the structure of our language [Dummett] |
10532 | We can understand universals by studying predication [Dummett] |
10534 | 'Nominalism' used to mean denial of universals, but now means denial of abstract objects [Dummett] |
10541 | Concrete objects such as sounds and smells may not be possible objects of ostension [Dummett] |
10545 | Abstract objects may not cause changes, but they can be the subject of change [Dummett] |
10555 | If we can intuitively apprehend abstract objects, this makes them observable and causally active [Dummett] |
10543 | Abstract objects must have names that fall within the range of some functional expression [Dummett] |
10320 | If a genuine singular term needs a criterion of identity, we must exclude abstract nouns [Dummett, by Hale] |
10547 | Abstract objects can never be confronted, and need verbal phrases for reference [Dummett] |
10531 | There is a modern philosophical notion of 'object', first introduced by Frege [Dummett] |
19168 | Concepts only have a 'functional character', because they map to truth values, not objects [Dummett, by Davidson] |
10549 | Since abstract objects cannot be picked out, we must rely on identity statements [Dummett] |
5825 | Speakers intend to refer to items that are the source of their information [Evans] |
10516 | A realistic view of reference is possible for concrete objects, but not for abstract objects [Dummett, by Hale] |
5823 | The intended referent of a name needs to be the cause of the speaker's information about it [Evans] |
9039 | If descriptions are sufficient for reference, then I must accept a false reference if the descriptions fit [Evans] |
9043 | We use expressions 'deferentially', to conform to the use of other people [Evans] |
9040 | Charity should minimize inexplicable error, rather than maximising true beliefs [Evans] |
7417 | God can't have silly perfections, but how do we decide which ones are 'silly'? [Joslin] |