16 ideas
| 6299 | Axioms are often affirmed simply because they produce results which have been accepted [Resnik] |
| 6304 | Mathematical realism says that maths exists, is largely true, and is independent of proofs [Resnik] |
| 6300 | Mathematical constants and quantifiers only exist as locations within structures or patterns [Resnik] |
| 6303 | Sets are positions in patterns [Resnik] |
| 6302 | Structuralism must explain why a triangle is a whole, and not a random set of points [Resnik] |
| 6295 | There are too many mathematical objects for them all to be mental or physical [Resnik] |
| 6296 | Maths is pattern recognition and representation, and its truth and proofs are based on these [Resnik] |
| 6301 | Congruence is the strongest relationship of patterns, equivalence comes next, and mutual occurrence is the weakest [Resnik] |
| 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] |
| 7903 | The six perfections are giving, morality, patience, vigour, meditation, and wisdom [Nagarjuna] |