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How should an educator answer a student who asks "Can this theorem be deduced in other systems of set theory?"

[Personal prelude: once in a model theory course we were being presented a proof of Ramsey's theorem, which I found very similar in spirit to some proofs of Bolzano-Weierstrass, so I mentioned it and ...
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Educational resources commonly address slant asymptotes. Why not general polynomial asymptotes?

A guess: Could it be a matter of time constraints? Thoroughly covering all potential outcomes and their implications is a time-intensive endeavor.
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