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  1. #1
    Quote Originally Posted by MadMojoMonkey View Post
    A quick wiki check says that his argument has different interpretations, but it basically says, "Look. The counting numbers do not create a set of size which has a countable infinity. The number of counting numbers is not a countable infinity!"
    I don't follow. It says the countable numbers which are infinite you'd think would be so big everything could fit in there, ldo. Ohh shit look at all these things that don't fit in there because they are "bigger".
  2. #2
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    Quote Originally Posted by Savy View Post
    I don't follow. It says the countable numbers which are infinite you'd think would be so big everything could fit in there, ldo. Ohh shit look at all these things that don't fit in there because they are "bigger".
    I thought is was all, if we presume some list of all counting numbers, then we make a number that is different from every element in that list in at least one digit, then we have created a "new" counting number that was not previously in our infinite set of counting numbers... ergo, the number of counting numbers is not countable.

    I don't think he invoked any other things aside from counting numbers, but he had multiple arguments on this and similar topics, and maybe I wiki'd the wrong one.

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