There are plenty of ways to use this stuff in everyday life.
I took logic in college, and although the "logic as english statements" stuff was sort of confusing, the symbolic stuff like A&B = !A|!B stuff has helped with computers all my life.
It was only much later in life that I ran back into logic as english statements in a way that made sense as practical.
I read a book where they took apart the statement:
If you loved me, you would take me to the movies.
Most people in relationships will respond to this with: Well, I just took you to the movies last week! Why do you want to go again tonight, we had other plans! etc...
But the book explained that with "If X, then Y" it was futile to address Y. You must address X: Wait, do you think I don't love you? Of COURSE I love you!
...just hard to unpack this in the middle of an emotional situation unless you've studied the logic:)