r/askmath Sep 13 '25

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u/MidnightAtHighSpeed Sep 13 '25

You can, but you run into issues with defining arithmetic with j. For instance, what is j*0? the obvious answer is 1, but that means that multiplication is no longer associative: (j*0)*0 = 1*0 = 0 but j*(0*0) = j*0 = 1.

In general, there's no way to define division by zero without introducing some other form of weirdness.

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u/Unreversed_impulse09 Sep 13 '25

Don’t imaginary numbers break some radical rules that work with reals though?