If p is true, then ~p is false. The sign ~(~p) method the statement "~p is false" is false. So, we have the right to say the ~(~p) method p is true.

You are watching: Create a truth table and prove that for any statement p, ~(~p) equals p.

If p is false, then ~p is true. The authorize ~(~p) method the explain "~p is true" is false. So, we can say that ~(~p) means p is false.

The required reality table is

p ~p ~(~p)

T F T

F T F

From the over truth table the is clear that

~(~p) = p

Hence proved.



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

Step-by-step explanation:

For any statement p the reality table for p, ~p and ~(~p) will be as the number attached. In this table we understand that If reality value for ns is true climate ~p will certainly be false and also ~(~p) will be true i m sorry is same fact value as truth value that p.

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

Hence reality value of any statement p is comparable to the fact value of ~(~p).

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Answer from: krlx
If is true, then is false, i m sorry in turn way is true.If is false, climate is true, and also so is false.So, because
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in both cases, the explain is a tautology (always true).If you to be to put this in a table, you would have one column each for
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. In the first column () you can think that as an independent variable that can only take 2 values, true and also false. In the following column (), you would negate the value in the ahead column. And also so on.It should roughly look choose this:p ... ~p ... ~(~p)T ... F ... TF ... T ... F
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