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A comment on The Octonion Math That Could Underpin Physics. Parent comment

Re:The Octonion Math That Could Underpin Physics by kgilpin on Friday July 20, 2018 @09:32PM (#17580252)
As far as I know, addition is something you define (an axiom) in order to construct the real (or other) numbers.

https://sites.math.washington.edu/~hart/m524/realprop.pdf

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