Why assume the solution is in the complex numbers, and not in
* the real numbers (2 solutions)
* the algebraic numbers (countably many)
* the natural numbers (1 solution)
* the complex surreal numbers (proper-class many)
Gotta use some context to interpret these things :)
Ziglin@lemmy.world 2 months ago
That additionally would imply an uncountably infinite set of complex solutions.
FishFace@piefed.social 2 months ago
Why assume the solution is in the complex numbers, and not in * the real numbers (2 solutions) * the algebraic numbers (countably many) * the natural numbers (1 solution) * the complex surreal numbers (proper-class many)
Gotta use some context to interpret these things :)
Ziglin@lemmy.world 2 months ago
Well it’s not physics. Show 'em what happens when you don’t specify those kinds of things.
FishFace@piefed.social 2 months ago
I don’t think teachers need to specify that answers should be in the largest class of numbers students have been introduced to so far at school :)
If students are smart and motivated enough to learn about other stuff outside of school, they’re smart enough to interpret the question.