17 ideas
15717 | Using Choice, you can cut up a small ball and make an enormous one from the pieces [Kaplan/Kaplan] |
21695 | The set scheme discredited by paradoxes is actually the most natural one [Quine] |
21693 | Russell's antinomy challenged the idea that any condition can produce a set [Quine] |
21691 | Antinomies contradict accepted ways of reasoning, and demand revisions [Quine] |
21690 | Whenever the pursuer reaches the spot where the pursuer has been, the pursued has moved on [Quine] |
21689 | A barber shaves only those who do not shave themselves. So does he shave himself? [Quine] |
21694 | Membership conditions which involve membership and non-membership are paradoxical [Quine] |
21692 | If we write it as '"this sentence is false" is false', there is no paradox [Quine] |
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] |
22049 | Transcendental idealism aims to explain objectivity through subjectivity [Bowie] |
22055 | The Idealists saw the same unexplained spontaneity in Kant's judgements and choices [Bowie] |
22054 | German Idealism tried to stop oppositions of appearances/things and receptivity/spontaneity [Bowie] |
22056 | Crucial to Idealism is the idea of continuity between receptivity and spontaneous judgement [Bowie] |
15713 | The first million numbers confirm that no number is greater than a million [Kaplan/Kaplan] |