Question

In the opposition of propositions, which one among the following is the contradictory of A proposition?

• A. Only O
• B. Only E
• C. Only I
• D. E and O

Hint:

In logical terms, the contradictory of an A proposition (All S are P) is an O proposition (Some S are not P).

Answer 1

The Correct Option is A

Step 1: Understanding the opposition of propositions.
In logic, the opposition of propositions involves the relationship between different types of categorical propositions (A, E, I, O). The contradictory of a proposition is the one that is always opposite in truth value. Step 2: Analyzing the options.
- (A) Only O: The contradictory of an A proposition is an O proposition. This is correct because A and O propositions are opposites.
- (B) Only E: E propositions are contradictories of I propositions, not A propositions.
- (C) Only I: I propositions are contradictories of E propositions, not A propositions.
- (D) E and O: This is incorrect, as only the O proposition is the contradictory of the A proposition.
Step 3: Conclusion.
The correct answer is (A), as the O proposition is the contradictory of the A proposition.