The demonstration that the sum of the positive integers is -1/12 relies on the assumption that the sum of
1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 + 1 - 1 .... is 1/2 However that is by no means certain. The sum could be undefined, in which case the proof simply fails. Or it could be one of the other values mentioned - if it's 0, we get the sum of the positive ints is either 0 or infinity (because S = 4S). If it's 1, we get the sum of the pos int = -1/6! -- You received this message because you are subscribed to the Google Groups "Everything List" group. To unsubscribe from this group and stop receiving emails from it, send an email to [email protected]. To post to this group, send email to [email protected]. Visit this group at http://groups.google.com/group/everything-list. For more options, visit https://groups.google.com/groups/opt_out.
