Which of the following statements is a contradiction?
Understand the Problem
The question is asking to identify which of the given logical statements represents a contradiction. A contradiction is a statement that is always false, and identifying it requires understanding logical connectives like conjunctions and disjunctions.
Answer
c. p ∧ ¬p
The statement "c. p ∧ ¬p" is a contradiction because it is always false.
Answer for screen readers
The statement "c. p ∧ ¬p" is a contradiction because it is always false.
More Information
A contradiction in logic is a statement that is always false. The statement 'p ∧ ¬p' is inherently contradictory because a proposition and its negation cannot both be true simultaneously.
Tips
A common mistake is not recognizing that contradictions are always false; they are not merely unlikely or improbable.
Sources
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