13 ideas
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] |
9471 | Intensions are creatures of darkness which should be exorcised [Quine] |
12163 | Literary meaning emerges in comparisons, and tradition shows which comparisons are relevant [Scruton] |
12162 | In literature, word replacement changes literary meaning [Scruton] |
12159 | Without intentions we can't perceive sculpture, but that is not the whole story [Scruton] |
12160 | In aesthetic interest, even what is true is treated as though it were not [Scruton] |
12161 | We can be objective about conventions, but love of art is needed to understand its traditions [Scruton] |