This book will take linguistics students beyond the classical logic used in introductory courses into the variety of non-standard logics that are commonly used in research. It embraces a wide variety of material, including modal logic, partial logic, situation semantics and the growing area of the substructural logics, starting with simple and intuitive concepts. Prior knowledge of mathematical logic is not required as issues are introduced and discussed in clear and precise English before symbolic notation is introduced. The variety of material is organised around one central thread: the tailoring of logical systems to reasoning about different applications in linguistics and beyond.