"Possibilities and Paradox is an accessible introduction to modal and many-valued logic. The book gives a clear and approachable structure to the basic formal frameworks, with reference to a range of philosophical issues." "Based on extensive classroom experience, Possibilities and Paradox goes beyond simply explaining how logic systems work - encouraging us to approach the systems in an informed and engaged way by giving new perspectives on the reasons and motivations which drive them. Beall and van Fraassen consider how we can tackle logic in practice, giving philosophical background in order to spark further discussion. Included are the motivations for non-classical logic in the Liar paradox, vagueness, and "paraconsistent" reasoning from inconsistent premises, as well as the more standard "possible world" semantics for modal and intuitionistic logic." The book opens up topics to debate, suitable for an intermediate course in logic. Each chapter contains innovative features that guide us through the subject: exercises to give students hands-on experience, examples to demonstrate the application of concepts, and lists of further reading.