15 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] |
| 3016 | Even the gods cannot strive against necessity [Pittacus, by Diog. Laertius] |
| 22717 | Self-interest can fairly divide a cake; first person cuts, second person chooses [Poundstone] |
| 22718 | Formal game theory is about maximising or minimising numbers in tables [Poundstone] |
| 22719 | The minimax theorem says a perfect game of opposed people always has a rational solution [Poundstone] |
| 22720 | Two prisoners get the best result by being loyal, not by selfish betrayal [Poundstone] |
| 22721 | The tragedy in prisoner's dilemma is when two 'nice' players misread each other [Poundstone] |
| 22723 | Do unto others as you would have them do unto you - or else! [Poundstone] |
| 22722 | TIT FOR TAT says cooperate at first, then do what the other player does [Poundstone] |