Okay so for my upcoming test I need to "be able to explain at least one result that would not hold if the axiom of completeness were not accepted"
My teacher suggested that I could try to explain why Cantor's diagonalization method won't work without the axiom of completeness, but I'm not really sure why it wouldn't work?
EDIT: If you can think of any easier examples I could explain for my test, that be great as well!