Paradoxes: An Anthology

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God is not all-powerful as he cannot build a wall he cannot jump

Contents  Introduction Catch-22 A paradoxical notice  Some proofs: Happiness or a ham sandwich? Proof that either Tweedledum or Tweedledee exists Proof that Tweedledoo exists Proofs that Santa Claus exists Proof that there exists a unicorn Proof that you are either conceited or inconsistent Proof that I am Dracula  Liars and truthtellers: Epimenides the Cretan The liar paradox Hanging or beheading Knights and knaves The visiting logician Cellini and Bellini Quine's paradox - 'Yields a falsehood when appended to its quotation' Infinity: Hilbert's hotel paradox Tristram Shandy paradox Infinite income-tax  Olbers' paradox - why is the night sky dark? Schrödinger's cat The unexpected hanging The surprise examination Prediction paradox - Newcomb's problem Hempel's ravens (the confirmation paradox) Nelson Goodman's "grue" paradox The barber paradox "Interesting" and "uninteresting" numbers Russell's paradox of classes Grelling's paradox - autological and heterological Berry's paradox - the least integer not nameable in fewer than nineteen syllables Two of Zeno's paradoxes Achilles and the tortoise Paradox of the arrow The ship of Theseus Protagoras's pupil Sorites paradox (paradox of the heap) Rene Magritte: This is not a pipe Not to be reproduced M C Escher: Drawing hands Belvedere Waterfall Mobius band Penrose triangle Necker cube (Freemish crate) Ames room Missing square paradox Arithmetic and algebraic paradoxes: Proving that 2 = 1 Proving that 3 + 2 = 0 Proving that n = n + 1 Bibliography

http://changethis.com/manifesto/show/13.ParadoxOfChoice

A Notre Dame Theologian, Father Mike Baxter, said to me that "Choice will be the undoing of America."