19 ideas
13011 | New axioms are being sought, to determine the size of the continuum [Maddy] |
13013 | The Axiom of Extensionality seems to be analytic [Maddy] |
13014 | Extensional sets are clearer, simpler, unique and expressive [Maddy] |
13021 | The Axiom of Infinity states Cantor's breakthrough that launched modern mathematics [Maddy] |
13022 | Infinite sets are essential for giving an account of the real numbers [Maddy] |
13023 | The Power Set Axiom is needed for, and supported by, accounts of the continuum [Maddy] |
13024 | Efforts to prove the Axiom of Choice have failed [Maddy] |
13025 | Modern views say the Choice set exists, even if it can't be constructed [Maddy] |
13026 | A large array of theorems depend on the Axiom of Choice [Maddy] |
13019 | The Iterative Conception says everything appears at a stage, derived from the preceding appearances [Maddy] |
13018 | Limitation of Size is a vague intuition that over-large sets may generate paradoxes [Maddy] |
4242 | Pure supervenience explains nothing, and is a sign of something fundamental we don't know [Nagel] |
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] |
22722 | TIT FOR TAT says cooperate at first, then do what the other player does [Poundstone] |
22723 | Do unto others as you would have them do unto you - or else! [Poundstone] |