The proposition (P⇒Q)⋀(Q⇒P) is a
2017
The proposition (P⇒Q)⋀(Q⇒P) is a
- A.
tautology
- B.
contradiction
- C.
contingency
- D.
absurdity
Attempted by 50 students.
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Correct answer: C
The proposition (P⇒Q)⋀(Q⇒P) is logically equivalent to the biconditional statement P↔Q. This expression evaluates to true when both P and Q have the same truth value (both true or both false) and false otherwise. Since the truth value depends on the specific inputs rather than being always true or always false, it is classified as a contingency.
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