McCawley supplements his earlier book—which covers such topics as presuppositional logic, the logic of mass terms and nonstandard quantifiers, and fuzzy logic—with new material on the logic of conditional sentences, linguistic applications of type theory, Anil Gupta's work on principles of identity, and the generalized quantifier approach to the logical properties of determiners.
This book is the definitive introduction to logic for the nonmathematician (i.e., the math amateur who doesn't care about the underpinnings of the foundations of set theory and logic). Just about the only thing omitted is ternary imaginary logic (i.e., 1=real-truth, 0=falsehood, i or –1=imaginary-truth), although a generalized form is presented in multi-world logic. Emil Post's n-ary logic is completely omitted, although perhaps a portion of it is effective addressed by multi-world logic.