If the statement 'No fishes are mammals' is given as false, then which of the…

2026

If the statement 'No fishes are mammals' is given as false, then which of the following proposition can be immediately inferred to be true?

  1. A.

    Some fishes are mammals

  2. B.

    All fishes are mammals

  3. C.

    Some fishes are not mammals

  4. D.

    All mammals are fishes

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Show answer & explanation

Correct answer: A

The statement 'No fishes are mammals' is a Universal Negative (E-type) proposition.

In the Square of Opposition, E and I propositions are contradictories with opposite truth values.

Since 'No fishes are mammals' is false, its contradictory 'Some fishes are mammals' must necessarily be true.

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