Question

Create a truth table and prove that for any statement p, ~(~p) equals p. (said it should be a 3 by 3 table with p; ~p; ~(~p ) at the top?) I gotchu with 20 points

Answer 1

Truth value of ~(~p) is same as the truth value of p.

Explanation:

For any statement p the truth table for p, ~p and ~(~p) will be as the figure attached. In this table we know that If truth value for p is true then ~p will be false and ~(~p) will be true which is same truth value as truth value of p.

Now if the truth value of any statement is false then truth value for ~p will be true and for ~(~p) will be false which is again similar to the statement p.

Hence truth value of any statement p is similar to the truth value of ~(~p).