this post was submitted on 06 Jul 2025
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"Impossible" would be a more mathematically accurate answer than "zero".
It's not a matter of accuracy even, if for any two natural numbers x < y it holds x - y = 0 then x = y, which is a contradiction. So this is basic consistency requirement, basically sabotaging any effort to teach kids math.
Depends on how your mathematical system is defined. In the mathematics system this teacher is using, negative numbers simply do not exist. The answer to 5-6 is the same as 5/0: NaN. Is this mathematical system incomplete? Yes. But, as has been thoroughly proven, there is no such thing as a complete mathematical system.
I was under the impression that there is in fact such a thing as a complete mathematical system (if you take "mathematical system" in the broader sense of "internally consistent system"), but such a system would be pretty limited and therefore rather useless.