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About vigmeister

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  1. Did you use to be KingOfPain?

  2. Making Ice

  3. Line Up

  4. Many More Discursive Judges

    - Two suspects: Jacques & Gilles. It's been proven that one of them is guilty and deserves decapitation, but we do not know which one. - Jacques is guilty if and only if both statements P and Q are true. Otherwise, Gilles gets the guillotine... - There are 9 independent judges and an arbiter (you) who interprets their collective decision with no information about the case. Situation A - 4 judges think P&Q are true - 3 believe only P is true and that Q is false - 2 believe only Q is true and that P is false Situation B - 5 judges think both P&Q are true - 4 judges think P is false and Q is false Situation C - 5 judges think P&Q are true - 2 believe only P is true and that Q is false - 1 believes only Q is true and that P is false - 1 believes that P is false and Q is false What is your verdict for each of these situations? Perhaps this thread needs to move to philosophical banter? Cheers!
  5. Whether to switch

  6. Can Infinity Be Less Than One?

    1/n is basically "one divided into n parts"... using this definition, "one divided into an uncountable number of parts" will be naturally close to zero. I think the jump you made was - infinity is uncountable - 1/2, 1/3, 1/4.... 1/infinity - 1/infinity is uncountable (Why? 1/infinity is clearly defined as zero..but let's say I grant you this even if I do not agree) - infinity is less than zero (Why? just because it is uncountable, it is not infinite ) Cheers!
  7. Berry's Paradox

    Back here after almost 6 years of absence I used to be known as kingofpain, but I lost the password... I still remember discussions with bonanova, so it only made sense that start off replying to him An assumption you make is that all numbers are specifiable. This is not proven. - The list of specifiable numbers with less than 23 syllables is finite. - "The smallest number not specifiable using fewer than 23 syllables" does not exist The conclusion here is that if a number is specifiable, it can be specified with less than 23 syllables. In other words, the list of specifiable numbers is finite. PAradox resolved!