Question

The statement $(p\to p)\wedge (p\to p)$ is

• A. a tautology.
• B. a contradiction.
• C. neither a tautology nor a contradiction.
• D. None of these.

Answer 1

The correct option is A a tautology.

If $p$ is a true statement, then $p\to p$ is true.

Also, if $p$ is a false statement, then $p\to p$ is true.

Then, $(p\to p)\wedge (p\to p)$ is always true.

Hence, the given statement is a tautology.