logic arguments If today is Morgan's birthday then today is October 16. Today is October 16. Hence today is Morgan's birthday. I knew that it can be true or false. then My question is that Today is Morgan's birthday statement is true or false?

$\textit{Today is Morgan's birthday} \implies \textit{Today is October 16}$

It's not an $\textit{if and only if } (\iff)$ so it's false.

If today is October 16, then it may or may not be Morgan's birthday.

Note: this is a weird example, because in real life it should be an $\textit{if and only if.}$