In article <firstname.lastname@example.org>, WM <email@example.com> wrote:
> The problem is neither underspecified nor ill-defined. Completed > infinity is nonsense. Parallel: The "sum" 1/2 + 1/4 + 1/8 + ... is not > 1. 1 is only the limit. There is no infinite sum, because that would > require an end-signal.
If one defines the "sum" of terms of an infinite sequence as the limit of the sequence of "partial sums", provided of course that such limit exists, which is SOP (standard operating procedure) in much of standard mathematics, then one can speak of such sums unambiguously.
WM's compulsion to exile so much of standard mathematics from his world of WMatheology makes it difficult to communicate with him on many points of standard mathematics. --