Sujet : Re: What if Carl Friedrich Gauss was wrong?
De : ross.a.finlayson (at) *nospam* gmail.com (Ross Finlayson)
Groupes : sci.mathDate : 01. Mar 2025, 16:43:51
Autres entêtes
Message-ID : <baacnWUeTP-htl76nZ2dnZfqnPUAAAAA@giganews.com>
References : 1 2 3 4
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On 03/01/2025 06:52 AM, Python wrote:
Le 01/03/2025 à 03:29, Ross Finlayson a écrit :
[snip nonsense]
>
Of course many people are familiar with the theorem that
the complex numbers are a complete ordered field and so
are the real numbers and that's unique up to isomorphism,
yet for example I wrote field operations equipping [-1, 1]
with field operations, another, different, complete ordered
field.
>
Complex numbers form a complete field but NOT an ordered field.
>
>
Yeah, now that you mention it, an ordering would
be a bit contrived, ....
What if Carl Friedrich Gauss was wrong?
Re: What if Carl Friedrich Gauss was wrong?