/sci/ - Science & Math » Thread #14106701

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Complex dimensions.

Anonymous Sat 15 Jan 17:35:36 2022 No.14106701 View Reply Original Report

Quoted By: >>14106704

Can the number of dimensions of an N-dimensional vector space be complex?

Anonymous

Anonymous Sat 15 Jan 2022 17:36:17 No.14106704 Report

Quoted By: >>14106721

>>14106701
>can the cardinality of a set be complex?
no

Anonymous

Anonymous Sat 15 Jan 2022 17:42:35 No.14106721 Report

Quoted By: >>14106733

>>14106704
why not?

Anonymous

Anonymous Sat 15 Jan 2022 17:47:34 No.14106733 Report

Quoted By: >>14106739

>>14106721
What would it mean?

Anonymous

Anonymous Sat 15 Jan 2022 17:50:07 No.14106739 Report

Quoted By: >>14106804 >>14106909

>>14106733
but anything means something to mathematicians. if complex numbers exist why can't they be used to describe anything, as a model or whatever?

Anonymous

Anonymous Sat 15 Jan 2022 18:08:58 No.14106804 Report

Quoted By:

>>14106739
>if complex numbers exist why can't they be used to describe anything, as a model or whatever?
they can. they model fluid mechanics, electronic circuits, atomic physics, etc etc.

Anonymous

Anonymous Sat 15 Jan 2022 18:33:37 No.14106909 Report

Quoted By: >>14106944

>>14106739
they're not ordered
there's no way to tell whether i is bigger or smaller than zero

if you find a way to order them then yes, but as it appears there's no way to order such a field

Anonymous

Anonymous Sat 15 Jan 2022 18:40:45 No.14106944 Report

Quoted By:

>>14106909
complex numbers are ordered but not well ordered. you could do lexicographic ordering

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