20 ideas
8868 | Objective truth arises from interpersonal communication [Davidson] |
14249 | Boolos reinterprets second-order logic as plural logic [Boolos, by Oliver/Smiley] |
10830 | Second-order logic metatheory is set-theoretic, and second-order validity has set-theoretic problems [Boolos] |
10829 | A sentence can't be a truth of logic if it asserts the existence of certain sets [Boolos] |
10832 | '∀x x=x' only means 'everything is identical to itself' if the range of 'everything' is fixed [Boolos] |
10834 | Weak completeness: if it is valid, it is provable. Strong: it is provable from a set of sentences [Boolos] |
13841 | Why should compactness be definitive of logic? [Boolos, by Hacking] |
10833 | Many concepts can only be expressed by second-order logic [Boolos] |
8867 | A belief requires understanding the distinctions of true-and-false, and appearance-and-reality [Davidson] |
6417 | In 1921 Russell abandoned sense-data, and the gap between sensation and object [Russell, by Grayling] |
6474 | Seeing is not in itself knowledge, but is separate from what is seen, such as a patch of colour [Russell] |
6476 | We cannot assume that the subject actually exists, so we cannot distinguish sensations from sense-data [Russell] |
2792 | It is possible the world came into existence five minutes ago, complete with false memories [Russell] |
22326 | Knowledge needs more than a sensitive response; the response must also be appropriate [Russell] |
10347 | Objectivity is intersubjectivity [Davidson] |
8866 | If we know other minds through behaviour, but not our own, we should assume they aren't like me [Davidson] |
10346 | Knowing other minds rests on knowing both one's own mind and the external world [Davidson, by Dummett] |
6475 | In perception, the self is just a logical fiction demanded by grammar [Russell] |
8870 | Content of thought is established through communication, so knowledge needs other minds [Davidson] |
8869 | The principle of charity attributes largely consistent logic and largely true beliefs to speakers [Davidson] |