this post was submitted on 08 Oct 2023
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Except that's exactly what it is allowed to in algebra.
Sure, in most equations you solve in early algebra school there is only one possible value for the variables. But in many equations there can be multiple, or even infinite. It's an unknown, and the contents can vary (depending on other constraints, ie. The rest of the equation(s)).
There's no time in algebra for your variables to vary.
When you have a non-unitary set of solutions, you have a constant non-unitary set of solutions.