Construct a truth table to show that the conditional is equivalent to ~p v q.

Question

psymon · Answer

I guess I don't fully understand the truth values of the terms well enough to fill these out properly. Too much uncertainty on my part, so hoping someone can explain, lol.

anonymous · Answer

do you know the truth table for $p\to q$?

psymon · Answer

Not sure. I can take a guess but Im not positive about it.

anonymous · Answer

the first step is to write all combinations of T and F for $p$ and $q$
usually it is written line this
$$\begin{array}{|c|c|c}
   p
 & q
 & p\to q \
\hline
T & T &  \
T & F &  \
F & T &  \
F & F &  \
\hline
\end{array}$$

anonymous · Answer

so in each row, there is a combination of T and F
for example in the second row, $p$ is  True and $q$ is False

psymon · Answer

$$p \rightarrow q$$
|dw:1378394832502:dw|

Im pretty sure I remember false implying true but I never understood why. Although I could be confusing that with another implication, I forget