Which of the following statements is logically equivalent to the statement No frogs are mammals?
ANo mammals are frogs ✓ Correct
BAll non-mammals are non-frogs
CSome non-mammals are not non-frogs
DSome mammals are non-frogs
Correct answer: (A) No mammals are frogs
Explanation
No mammals are frogs is logically equivalent to the given statement.
No frogs are mammals is a universal negative, type E.
An E proposition converts validly by exchanging subject and predicate.
That exchange yields No mammals are frogs with identical truth conditions.
Conversion of E preserves logical equivalence.
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