Answer: Neither conclusion follows.
Reasoning:
From “Some men are great” and “Some men are wise,” we only know there exists at least one great man and at least one wise man (they may be the same or different).
Conclusion 1 (“All men are great or wise”) is not guaranteed—there could be men who are neither.
Conclusion 2 (“Some men are neither great nor wise”) is also not guaranteed—it's possible every man is in great or wise (or both).
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and More.