Free logic - i.e., logic free of existential presuppositions in general and with respect to singular terms in particular- began to come into its own as a field of research in the 1950s. As is the case with so many developments in Western philosophy, its roots can be traced back to ancient Greek philo- sophy. It is only during the last fifty years, however, that it has become well established as a branch of modern logic. The name of Karel Lambert is most closely connected with this development: he gave it its name and its profile as a well defined field of research. After a development of...
Free logic - i.e., logic free of existential presuppositions in general and with respect to singular terms in particular- began to come into its own a...
Foundations of Bayesianism is an authoritative collection of papers addressing the key challenges that face the Bayesian interpretation of probability today. Some of these papers seek to clarify the relationships between Bayesian, causal and logical reasoning. Others consider the application of Bayesianism to artificial intelligence, decision theory, statistics and the philosophy of science and mathematics. The volume includes important criticisms of Bayesian reasoning and also gives an insight into some of the points of disagreement amongst advocates of the Bayesian...
Foundations of Bayesianism is an authoritative collection of papers addressing the key challenges that face the Bayesian interpret...
The last twenty years have witnessed an accelerated development of pure and ap- plied logic, particularly in response to the urgent needs of computer science. Many traditional logicians have developed interest in applications and in parallel a new generation of researchers in logic has arisen from the computer science community. A new attitude to applied logic has evolved, where researchers tailor a logic for their own use in the same way they define a computer language, and where auto- mated deduction for the logic and its fragments is as important as the logic itself. In such a climate...
The last twenty years have witnessed an accelerated development of pure and ap- plied logic, particularly in response to the urgent needs of computer ...
Information technology has been, in recent years, under increasing commercial pressure to provide devices and systems which help/ replace the human in his daily activity. This pressure requires the use of logic as the underlying foundational workhorse of the area. New logics were developed as the need arose and new foci and balance has evolved within logic itself. One aspect of these new trends in logic is the rising impor- tance of model based reasoning. Logics have become more and more tailored to applications and their reasoning has become more and more application dependent. In fact, some...
Information technology has been, in recent years, under increasing commercial pressure to provide devices and systems which help/ replace the human in...
This is a monograph about logic. Specifically, it presents the mathe- matical theory of the logic of bunched implications, BI: I consider Bl's proof theory, model theory and computation theory. However, the mono- graph is also about informatics in a sense which I explain. Specifically, it is about mathematical models of resources and logics for reasoning about resources. I begin with an introduction which presents my (background) view of logic from the point of view of informatics, paying particular attention to three logical topics which have arisen from the development of logic within...
This is a monograph about logic. Specifically, it presents the mathe- matical theory of the logic of bunched implications, BI: I consider Bl's proof t...
THIRTY FIVE YEARS OF AUTOMATING MATHEMATICS: DEDICATED TO 35 YEARS OF DE BRUIJN'S AUTOMATH N. G. de Bruijn was a well established mathematician before deciding in 1967 at the age of 49 to work on a new direction related to Automating Mathematics. By then, his contributions in mathematics were numerous and extremely influential. His book on advanced asymptotic methods, North- Holland 1958, was a classic and was subsequently turned into a book in the well known Dover book series. His work on combinatorics yielded influential notions and theorems of which we mention the de Bruijn-sequences of...
THIRTY FIVE YEARS OF AUTOMATING MATHEMATICS: DEDICATED TO 35 YEARS OF DE BRUIJN'S AUTOMATH N. G. de Bruijn was a well established mathematician before...
Frontiers in Belief Revision is a unique collection of leading edge research in Belief Revision. It contains the latest innovative ideas of highly respected and pioneering experts in the area, including Isaac Levi, Krister Segerberg, Sven Ove Hansson, Didier Dubois, and Henri Prade. The book addresses foundational issues of inductive reasoning and minimal change, generalizations of the standard belief revision theories, strategies for iterated revisions, probabilistic beliefs, multiagent environments and a variety of data structures and mechanisms for implementations. This book is...
Frontiers in Belief Revision is a unique collection of leading edge research in Belief Revision. It contains the latest innovative ideas of h...
This book is a sequel to the classic work, Fallacies: Selected Papers 1972 - 1982 (1989), coauthored with Douglas Walton, and is a further major contribution to the Woods-Walton Approach to the logic of fallacious reasoning. No one disputes the formitable accomplishments of modern mathematical logic; but equally no one seriously believes that classical logic is much good for the analysis of real-life argument and reasoning, or that it is the best place in which to transact the business of fallacy theory. One of the principal innovations of the book is its adaptation of systems of logic to...
This book is a sequel to the classic work, Fallacies: Selected Papers 1972 - 1982 (1989), coauthored with Douglas Walton, and is a further major co...