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Re:What are the complex numbers, really? by zardo on Tuesday December 19, 2017 @02:20PM (#15963195)
>TL;DR: complex numbers are the unique algebraic extension to the real numbers

The simplest, (or maybe most compact) extension.

You can also achieve closure by going from R to R^2 and adding the Geometric Product. This is also closed, but it includes vectors in R^2 as well as the complex numbers.

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