Taking Narrative Risk Book

I read this for work. It's an introductory textbook for undergraduates studying formal semantics. I felt like the first chapter, where he explored different things that "mean" could mean, was the most thought-provoking. Are meanings words? Are they concepts or ideas in the mind? Are they social practices? Do they exist out in the world? What he settles on are that meanings are best thought of as truth conditions, and that we build up from formal predicate logic and set theory to a full semantic theory.
There were lots of small asides that made me stop and think. For example: sometimes the word "and" means the intersection of sets: "Mary is a painter and a singer;" and sometimes it means union: "Mary and John left town." If I had known that before, I had forgotten it. He suggests that predicates don't carry a complete meaning by themselves: only complete propositions (sentences) can do that.
Whenever he drew an abstract set diagram, I thought about how it could be constructed as an actual object in the semantic vector space.