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Math Help - Discrete maths

  1. #1
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    Smile Discrete maths

    this question is confusing i dont understand it
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  2. #2
    Super Member

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    Hello, sabina_19!

    It seems clear enough . . . What part is confusing?


    By using the appropriate truth tables, decide whethr
    each of the following is tautology, absurdity, or contingency.

    A tautology is always true.
    An absurdity is always false.
    A contingency is sometime true, sometimes false. .("It depends.")


    (a)\;\;\begin{array}{|c||ccc|}\hline<br />
p & p & \to & p \\ \hline \hline<br />
T & T & {\color{blue}T} & T \\ \hline <br />
F & F & {\color{blue}T} & F \\ \hline \end{array}\qquad \text{Tautology}


    (b)\;\;\begin{array}{|c||ccc|}\hline<br />
p & p & \to & \sim\!p \\ \hline \hline<br />
T & T & {\color{blue}F} & F \\ F & F &{\color{blue}T} & T \\ \hline<br />
\end{array}\qquad\text{Contingency}


    (c)\;\;\begin{array}{|c||ccc|} \hline<br />
p & p & \wedge & \sim\!p \\ \hline \hline<br />
T & T&  {\color{blue}F} & F \\ \hline<br />
F & F & {\color{blue}F} & T \\ \hline \end{array}\qquad\text{Absurdity}

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