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Re: Is there some number outside the complex field range?
Posted:
Feb 28, 2012 10:09 AM
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"G. A. Edgar" wrote:
>
> In article <jiicjl$63b$1@aspen.stu.neva.ru>, Hongyi Zhao
> <hongyi.zhao@gmail.com> wrote:
>
> > Hi all,
> >
> > As is well known to all, the complex field is the most comprehensive
> > field for now. But, I want to know is it possible or not to create a
> > number filed which is bigger than the complex field? Why or why not?
> >
> > Any hints will highly appreciated.
> >
> > Best regards
>
> Perhaps find out about : surreal numbers; nonstandard analysis;
> transseries; and many more...
Is there a field of cardinal aleph_alpha for every ordinal alpha? I
would think so. Thank you for mentioning transseries; I hadn't heard of
them previously.
--
When a true genius appears in the world, you may know him by
this sign, that the dunces are all in confederacy against him.
Jonathan Swift: Thoughts on Various Subjects, Moral and Diverting
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