Manipal MET2015MathematicsMathematical Reasoning
The proposition (p p) ( p p) is
Options
- Aa tautology
- Ba contradiction
- Cneither tautology nor contradiction
- Dboth tautology and contradiction
Correct answer
B. a contradiction
Step-by-step solution
The truth table of (p p) ( p p) is as follows: array c|c|c|c|c p & p & p p & p p & array c (P P) ( p p) array T & ~F & ~F & ~T & ~F ~F & ~T & ~F & ~F & ~F array Clearly, last column of the above truth table contains F only. So, the given statement is a contradiction.