Re: What if Carl Friedrich Gauss was wrong?

Le 01/03/2025 à 16:57, Ross Finlayson a écrit :

On 03/01/2025 07:43 AM, Ross Finlayson wrote:

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, ....
>
>

 It's usually enough called "Gaussian screw arithmetic"
or "Wick rotation".

Hmm... Not quite. This is just name dropping.

Also there's another one on [-1, 1].

Interesting? Which is?