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Originally Posted by pdurrant
Yes! And all because of ten! Although there's another argument that since there are an infinite number of numbers beginning O, N, F, S and T they are all equally common. However, I was thinking of the answers you gave.
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That is what I was thinking of after my first post. The sets of all positive integers that begin with O, N, F, S, and T are all infinite sub-sets of the infinite set of all positive integers [otherwise known as the natural numbers]. All of these infinite sets are aleph number zero though, so in a sense are all of the same size.
Quote:
Originally Posted by pdurrant
There are some branches of mathematics that try to deal with divergent series. In a very specific mathematical sense, the sum of all the positive integers is negative one twelfth. (-1/12). I confess I don't really understand that myself. Mathematics involving integers is tricky or even tricksy.
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1+ 2 +3 + . . . some how sums to -1/12? Would you happen to have a link to that?