10 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] |
19701 | Fallibilism is consistent with dogmatism or scepticism, and is not alternative to them [Dougherty] |
19700 | It is best to see the fallibility in the reasons, rather than in the agents or the knowledge [Dougherty] |
19702 | We can't normally say that we know something 'but it might be false' [Dougherty] |
15713 | The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan] |
20653 | Six reduction levels: groups, lives, cells, molecules, atoms, particles [Putnam/Oppenheim, by Watson] |