12 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] |
15713 | The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan] |
23169 | Democratic institutions become impossible in a fanatical democracy [Russell] |
23170 | Liberal opinions are tentative rather than dogmatic, and are always responsive to new evidence [Russell] |
23172 | Empiricist Liberalism is the only view for someone who favours scientific evidence and happiness [Russell] |
23171 | Empiricism is ethically superior, because dogmatism favours persecution and hatred [Russell] |
13304 | Learned men gain more in one day than others do in a lifetime [Posidonius] |
20820 | Time is an interval of motion, or the measure of speed [Posidonius, by Stobaeus] |