11 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] |
5210 | We could know what a lion thinks by mapping both its brain patterns and its experiences [Douglas,A] |
4867 | Whether nature is beautiful or orderly is entirely in relation to human imagination [Spinoza] |
4866 | God is a being with infinite attributes, each of them infinite or perfect [Spinoza] |
4868 | Trying to prove God's existence through miracles is proving the obscure by the more obscure [Spinoza] |