12 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] |
18969 | How do you distinguish three beliefs from four beliefs or two beliefs? [Quine] |
18967 | A 'proposition' is said to be the timeless cognitive part of the meaning of a sentence [Quine] |
18968 | The problem with propositions is their individuation. When do two sentences express one proposition? [Quine] |
7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |
18970 | The concept of a 'point' makes no sense without the idea of absolute position [Quine] |