Which of the following statements are so related that if one of them is true the other must be false…
Contradictory pairs cannot both be true and cannot both be false. A (All human beings are mortal) and C (Some human beings are not mortal) are the A and O propositions,…
Choose your answer
Which of the following statements are so related that if one of them is true the other must be false and vice-versa?
A. All human beings are mortal.
B. Some human beings are mortal.
C. Some human beings are not mortal.
D. No human beings are mortal.
Answer and explanation
Correct answer A
Contradictory pairs cannot both be true and cannot both be false. A (All human beings are mortal) and C (Some human beings are not mortal) are the A and O propositions, which are exact contradictories, so one being true forces the other to be false.
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