Dennis Paul Himes wrote:
> Carlos Thompson <carlos_thompson@...> wrote:
[...]
> What you write below is basically correct, but your terminology
is a bit
> strange, and you make a minor mistake or two:
[...]
> > Given the series {a_n}; given any positive real epsilon, there
is a
> > natural N shuch as any naturals n > N and m > N, | a_n - a_m | <
> > epsilon.
>
> This sort of sequence (not "series") is a Cauchy sequence.
>
> > However such a series could not converge in Q.
>
> Close. This sort of sequence does not necessarily converge in
Q.
That's why I said "could not" and not "do not".
On the other hand, thank you for your corrections. About the
terminology, I learned math in Spanish (I once took a class on
discrete math in Swedish but I knew little Swedish then... ;-p) then I
could be translating wrong the terminology.
-- Carlos Th