Is logic like mathematics?
No. Logic was developed to understand something we all do every day: Reason. For example, when you decide that
you cannot go to a movie because, if you did, you would miss an important meeting, you are reasoning - you are giving reasons for
holding a certain position on an issue (namely, whether or not to go to the movie). Logic was developed in order to investigate this
incredibly common phenomenon. Consequently, students are often surprised to find that even though they hate studying mathematics, they quite
like logic.
That being said, once we use logic to understand how to reason effectively, we can easily see that the sort of reasoning
described in logic happens to be the same sort of reasoning employed in mathematics (after all, it's rather important to mathematicians that they reason effectively!). Because of this, some students even become
very interested in mathematics after taking logic.