Which of the following propositions is the obverse and logically equivalent to the proposition 'No umpires are partisans'?
ANo non-umpires are non-partisans
BAll non-partisans are umpires
CSome umpires are non-partisans
DAll umpires are non-partisans ✓ Correct
Correct answer: (D) All umpires are non-partisans
Explanation
The obverse is "All umpires are non-partisans", logically equivalent to the original.
Obversion first changes the quality, turning the E proposition into an affirmative A.
It then replaces the predicate with its complement, so partisans becomes non-partisans.
"No umpires are partisans" thus yields "All umpires are non-partisans".
Since obversion is always valid, the two propositions are logically equivalent.
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