If the statement 'No fishes are mammals' is given as false, then which of the following proposition can be immediately inferred to be true?
ASome fishes are mammals ✓ Correct
BAll fishes are mammals
CSome fishes are not mammals
DAll mammals are fishes
Correct answer: (A) Some fishes are mammals
Explanation
The proposition immediately inferred true is "Some fishes are mammals".
"No fishes are mammals" is a universal negative (E), and here it is taken as false.
The contradictory of an E proposition is the particular affirmative (I).
When a proposition is false its contradictory must be true, so "Some fishes are mammals" is true.
This uses the contradictory relation of E and I on the square of opposition.
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