A New Perspective On Nonmonotonic Logics

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A New Perspective on Nonmonotonic Logics

In this book the authors present new results on interpolation for nonmonotonic logics, abstract (function) independence, the Talmudic Kal Vachomer rule, and an equational solution of contrary-to-duty obligations. The chapter on formal construction is the conceptual core of the book, where the authors combine the ideas of several types of nonmonotonic logics and their analysis of 'natural' concepts into a formal logic, a special preferential construction that combines formal clarity with the intuitive advantages of Reiter defaults, defeasible inheritance, theory revision, and epistemic considerations. It is suitable for researchers in the area of computer science and mathematical logic.
A Logical Theory of Nonmonotonic Inference and Belief Change

Author: Alexander Bochman
language: en
Publisher: Springer Science & Business Media
Release Date: 2013-03-14
The main subject and objective of this book are logical foundations of non monotonic reasoning. This bears a presumption that there is such a thing as a general theory of non monotonic reasoning, as opposed to a bunch of systems for such a reasoning existing in the literature. It also presumes that this kind of reasoning can be analyzed by logical tools (broadly understood), just as any other kind of reasoning. In order to achieve our goal, we will provide a common logical basis and semantic representation in which different kinds of non monotonic reasoning can be interpreted and studied. The suggested framework will subsume ba sic forms of nonmonotonic inference, including not only the usual skeptical one, but also various forms of credulous (brave) and defeasible reasoning, as well as some new kinds such as contraction inference relations that express relative independence of pieces of data. In addition, the same framework will serve as a basis for a general theory of belief change which, among other things, will allow us to unify the main approaches to belief change existing in the literature, as well as to provide a constructive view of the semantic representation used. This book is a monograph rather than a textbook, with all its advantages (mainly for the author) and shortcomings (for the reader).
New Perspectives on Keynes

Interest in John Maynard Keynes has increased significantly over the past decade with the publication of his collected writings, increased access to his unpublished papers, and the resulting explosion of secondary literature. Responding to this renewed attention, this collection brings together economists and historians of economics with scholars from philosophy and other related fields to reconsider Keynes's work and its legacy. Several of these essays look at Keynes not simply as an economist, but more broadly as a philosopher. Special attention is directed to his views on aesthetics and moral philosophy, as well as his contributions as a probability theorist. The development of the Keynesian heritage is also considered: How did Keynesian ideas become assimilated and domesticated into the mainstream of economic thought--to the point of becoming dominant as the orthodoxy of the economics profession? What was the relationship between postwar British conservatives, Keynes's work, and Britain's relative economic decline? The archivist in charge of Keynes's papers provides an additional vantage point on Keynes's working methods and the broad range of scholars interested in his writings. Finally, all of the essays are followed by a responder's comments, thus providing an exchange of viewpoints. Contributors. A. W. Coats, Allin F. Cottrell, Jacqueline Cox, William Darity, John Davis, Robert Dimand, Peter Groenewegen, Kevin Hoover, Henry E. Kyburg Jr., David Laidler, Michael S. Lawlor, Greg Lilly, D. E. Moggridge, R. M. O'Donnell, Kerry Pearce, Jochen Runde, Teddy Seidenfeld, J. D. Tomlinson