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The proposition (p to ~p) ^^ (~p to p) i...

The proposition `(p to ~p) ^^ (~p to p)` is a

A

a tautology

B

a contradiction

C

neither a tauology nor a contradiction

D

a tautology and a contradition

Text Solution

Verified by Experts

The correct Answer is:
B
The truth table of ` ( p to ~ p) ( ~ p to p) ` is as follows:
`( ##RDS_MATH_V01_C08_S01_048_S01.png" width="80%">
Clearly, last column of the above truth table contains F only . So, the given statement is a contradition.
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