# Math Help - Discrete maths

1. ## Discrete maths

this question is confusing i dont understand it

2. 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.")

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

$(b)\;\;\begin{array}{|c||ccc|}\hline
p & p & \to & \sim\!p \\ \hline \hline
T & T & {\color{blue}F} & F \\ F & F &{\color{blue}T} & T \\ \hline

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