11 ideas
22153 | Quine rejects Carnap's view that science and philosophy are distinct [Quine, by Boulter] |
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] |
19485 | Names have no ontological commitment, because we can deny that they name anything [Quine] |
19486 | We can use quantification for commitment to unnameable things like the real numbers [Quine] |
15713 | The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan] |
19487 | Without the analytic/synthetic distinction, Carnap's ontology/empirical distinction collapses [Quine] |
20959 | Concepts are only analytic once the predicate is absorbed into the subject [Schleiermacher] |