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On Fri, Aug 5, 2011 at 07:12, Gavin Wraith <gavin@wra1th.plus.com> wrote:
>  Complex numbers extend integers in two ways: having a square root of -1
> and completeness (every Cauchy sequence has a limit).

Real numbers provide completeness (every Cauchy sequence has a limit)
just fine. You do not need Complex numbers for that.

--Leo--