> In the real world of mathematics, this is as stupid a question as me asking “Is there a mathematical size bigger than the amount of integers but less than the

> In the real world of mathematics, this is as stupid a question as me asking “Is there a mathematical size bigger than the amount of integers but less than the amount of real numbers?” [1] because you can’t answer it without going through a lot of trouble to specify the “axioms” (basic assumed rules for doing mathematics) you want used on the problem. I don't think this analogy holds very well--a curious student could reasonably and earnestly ask about the continuum hypothesis, since it's not at all obvious from first principles that the answer depends so heavily on obscure set axioms. On the other hand, the order of operations question seems to have been designed to confuse people and stir up meaningless, unresolvable arguments over PEMDAS.