Ah- if you don’t define the (principle) square root to be the inverse of squaring, the apparent contradiction goes away.
I concluded that you wanted to be able to preserve falsehood as well. Squaring preserves falsehood in the domain of the nonnegative reals, exactly like multiplication and division by positive values does.
Ah- if you don’t define the (principle) square root to be the inverse of squaring, the apparent contradiction goes away.
I concluded that you wanted to be able to preserve falsehood as well. Squaring preserves falsehood in the domain of the nonnegative reals, exactly like multiplication and division by positive values does.