Re: Euclidean Geometry in Schools

Jean-Claude Arbaut wrote:

>>> Construction is so messy. Let's instead teach axioms.
>>> The reals are a complete Archimedean ordered field.
>>
>> What exactly does "complete" mean here?
>
> Every Cauchy series converges.

So you have a metric on the field?
How do you define a metric without the reals?

--
Timothy Murphy
e-mail (<80k only): tim /at/ birdsnest.maths.tcd.ie
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