11 ideas
| 15717 | Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan] |
| 15712 | 1 and 0, then add for naturals, subtract for negatives, divide for rationals, take roots for irrationals [Kaplan/Kaplan] |
| 15711 | The rationals are everywhere - the irrationals are everywhere else [Kaplan/Kaplan] |
| 15714 | 'Commutative' laws say order makes no difference; 'associative' laws say groupings make no difference [Kaplan/Kaplan] |
| 15715 | 'Distributive' laws say if you add then multiply, or multiply then add, you get the same result [Kaplan/Kaplan] |
| 20660 | At one level maths and nature are very similar, suggesting some deeper origin [Wolfram] |
| 15713 | The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan] |
| 17371 | Some kinds are very explanatory, but others less so, and some not at all [Devitt] |
| 20659 | Space and its contents seem to be one stuff - so space is the only existing thing [Wolfram] |
| 17372 | The higher categories are not natural kinds, so the Linnaean hierarchy should be given up [Devitt] |
| 17373 | Species pluralism says there are several good accounts of what a species is [Devitt] |