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Yes, that's why Gavin said complex numbers extend _integers_ in _two_ ways!

On 6 August 2011 10:36, Leo Razoumov <slonik.az@gmail.com> wrote:
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--