Which of the following propositions is contrary to the proposition. "All cows…
2024
Which of the following propositions is contrary to the proposition. "All cows are herbivores" ?
Answer: D. No cows are herbivores. — The proposition "All cows are herbivores" is a Universal Affirmative (A-type) statement. In the Square of Opposition, contrary propositions are A-type and…
- A.
All herbivores are cows.
- B.
Some cows are herbivores.
- C.
Some cows are not herbivores.
- D.
No cows are herbivores.
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Correct answer: D
The proposition "All cows are herbivores" is a Universal Affirmative (A-type) statement.
In the Square of Opposition, contrary propositions are A-type and E-type (Universal Negative). They cannot both be true simultaneously.
Option 3 states "No cows are herbivores," which is the E-type proposition. Thus, it is logically contrary to the original A-type statement.