I seriously don't have a bad thing to say about this book. It is less or more the perfect introduction to logic for natural language semanticists. It presents thoroughly the most important logics used by formal semanticists, whitout any compromises on formal rigor. It incudes references for further readings, and implications for linguistic theories. It even spends a whole chapter on discussing modern theories.
As mentioned in the introduction, it is optimal for linguists and logicians/philosophers in terested in natural language, and it is also very useful for computational linguists/AI researchers. It is not adequate for those whose motivation is purely logical/mathematical. Enjoy!