Abstract

The aim of this book is to introduce the reader to some new areas of contemporary logic which generally fall under the rubric of philosophical logic. It succeeds in this task to a degree, although the chapters are for the most part adaptations of journal articles published by Rescher over the last ten years and are more self-contained than they might have been. But the book should renew interest in the problems of philosophical logic. It contains many interesting discussions and a great deal of useful information. Rescher begins with chapters on modal logic which include some discussion of intuitionistic logic and the causal modalities as well as the alethic modalities. He then discusses the notion of belief as a representative notion of epistemic logic. A long chapter is devoted to a history and survey of the main systems of many valued logics. Shorter, but still substantial, chapters are devoted to the logic of existence, non-standard quantification theory, chronological or tense logic, topological or positional logic, logic of assertion and logic of preference. Still shorter chapters are given to deontic logic, probability logic, a discussion of random individuals and self-reference. An interesting final chapter provides a new "discourse on method" for the philosophical or applied logician.--R. H. K.