It is a fact of modern scientific thought that there is an enormous variety of logical systems - such as classical logic, intuitionist logic, temporal logic, and Hoare logic, to name but a few - which have originated in the areas of mathematical logic and computer science. In this book the author presents a systematic study of this rich harvest of logics via Tarski's well-known axiomatization of the notion of logical consequence. Those with a modest acquaintance of modern formal logic will find this to be a readable and not too technical account which will demonstrate the current diversity and profusion of logics. In particular, undergraduate and postgraduate students in mathematics, philosophy, computer science, and artificial
intelligence will enjoy this introductory survey to the field.
Readership: Philosophers, mathematicians, computer scientists, artificial intelligence scientists (logic parts of the subject).
John P. Cleave, Reader in Mathematics (retired), University of Bristol
"The above paragraphs of our review do not suffice to depict the detail - mathematical, philosophical, and historical - with which the book is enriched. Even for those who do not have the capability or desire to work through the mathematical exposition, there is still much of interest to be gleaned." - T. Hailperin, History and Philsophy of Logic, 14(1993)
"will be welcomed by enthusiasts in the field as containing ... the basic material ... and the behaviour of such connectives in a rannge of logics" - Lloyd Humberstone, Australasia Journal of Philosophy, Vol. 73, No. 3