Which of the following statements is a contradiction?

Question image

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.

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