12 ideas
18009 | Chomsky established the view that category mistakes are well-formed but meaningless [Chomsky, by Magidor] |
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] |
19355 | The soul doesn't understand many of its own actions, if perceptions are confused and desires buried [Leibniz] |
19350 | We should say that body is mechanism and soul is immaterial, asserting their independence [Leibniz] |
18007 | Syntax is independent of semantics; sentences can be well formed but meaningless [Chomsky, by Magidor] |
19356 | Minds unconsciously count vibration beats in music, and enjoy it when they coincide [Leibniz] |