This volume presents a number of systems of logic which can be considered as alternatives to classical logic. The notion of what counts as an alternative is a somewhat problematic one. There are extreme views on the matter of what is the 'correct' logical system and whether one logical system (e. g. classical logic) can represent (or contain) all the others. The choice of the systems presented in this volume was guided by the following criteria for including a logic as an alternative: (i) the departure from classical logic in accepting or rejecting certain theorems of classical logic following intuitions arising from significant application areas and/or from human reasoning; (ii) the alternative logic is well-established and well-understood mathematically and is widely applied in other disciplines such as mathematics, physics, computer science, philosophy, psychology, or linguistics. A number of other alternatives had to be omitted for the present volume (e. g. recent attempts to formulate so-called 'non-monotonic' reason ing systems). Perhaps these can be included in future extensions of the Handbook of Philosophical Logic. Chapter 1 deals with partial logics, that is, systems where sentences do not always have to be either true or false, and where terms do not always have to denote. These systems are thus, in general, geared towards reasoning in partially specified models. Logics of this type have arisen mainly from philo sophical and linguistic considerations; various applications in theoretical computer science have also been envisaged.

First published in 1999, this volume re-examines Bertrand Russell’s views on modal logic and logical relevance, arguing that Russell does in fact accommodate modality and modal logic. The author, Jan Dejnožka, draws together Russell’s comments and perspectives from throughout his canon in order to demonstrate a coherent view on logical modality and logical relevance. To achieve this, Dejnožka explores questions including whether Russell has a possible worlds logic, Rescher’s case against Russell, Russell’s three levels of modality and the motives and origins of Russell’s theory of modality.

This book includes some of the most original and influential contributions to logic and the philosophy of logic during the past twenty years. It contains thirty-five essays, many of which started new trends in logic. For example, some of the essays in Part One gave birth to what is now known as free logic, and some of the essays in Part Two were among the earliest contributions to what is now known as truth-value semantics. The essays in Part Three are contributions to and improvements of already extant logics, such as intuitionistic logic, natural deduction, and the logic of sequents. Introductions to the parts of the book cover the history of the contributions and their importance. The essays have been thoroughly revised since their publication in learned journals.

This book presents twenty essays by Nicholas Rescher, representing more than a decade of his work. The first part of the collection offers thoughts on the history of philosophy from the Presocratics to the twentieth century; the second part features essays on epistemology, the philosophy of science, metaphysics, the theory of historiography, and the logic of temporal concepts. Despite the range of topics, all essays are closely integrated at the methodological level.

The International research Library of Philosophy collects in book form a wide range of important and influential essays in philosophy, drawn predominantly from English-language journals. Each volume in the library deals with a field of enquiry which has received significant attention in philosophy in the last 25 years and is edited by a philosopher noted in that field.

One of the first philosophers to relate Indian philosophical thought to Western analytic philosophy, Jaysankar Lal Shaw has been reflecting on analytic themes from Indian philosophy for over 40 years. This collection of his most important writings, introduces his work and presents new ways of using Indian classical thought to approach and understand Western philosophy. By expanding, reinterpreting and reclassifying concepts and views of Indian philosophers, Shaw applies them to the main issues and theories discussed in contemporary philosophy of language and epistemology. Carefully constructed, this volume of his collected writings, shows the parallels Shaw draws between core topics in both traditions, such as proper names, definite descriptions, meaning of a sentence, knowledge, doubt, inference and testimony. It captures how Shaw uses the techniques and concepts of Indian philosophers, especially the followers of the Navya-Nyaya, to address global problems like false belief, higher order knowledge and extraordinary perception. Exploring timeless ideas from Indian thought alongside major issues in contemporary philosophy, Shaw reveals how the two traditions can interact and throw light on each other, providing better solutions to philosophical problems. He has also reflected on modern issues such as freedom, morality and harmony from the classical Indian thought. Featuring a glossary and updates to his writings,The Collected Writings of Jaysankar Lal Shaw: Indian Analytic and Anglophone Philosophy also includes new work by Shaw on the relationship between Indian and analytic philosophy today.

Bringing elementary logic out of the academic darkness into the light of day, Paul Tomassi makes logic fully accessible for anyone attempting to come to grips with the complexities of this challenging subject. Including student-friendly exercises, illustrations, summaries and a glossary of terms, Logic introduces and explains: * The Theory of Validity * The Language of Propositional Logic * Proof-Theory for Propositional Logic * Formal Semantics for Propositional Logic including the Truth-Tree Method * The Language of Quantificational Logic including the Theory of Descriptions. Logic is an ideal textbook for any logic student: perfect for revision, staying on top of coursework or for anyone wanting to learn about the subject. Related downloadable software for Macs and PCs is available for this title at www.logic.routledge.com.

This book constitutes the refereed proceedings of the 12th International Conference on Logic for Programming, Artificial Intelligence, and Reasoning, LPAR 2005, held in Montego Bay, Jamaica in December 2005. The 46 revised full papers presented together with abstracts of 3 invited talks were carefully reviewed and selected from 108 full paper submissions. The papers address all current issues in logic programming, logic-based program manipulation, formal method, automated reasoning, and various kinds of AI logics.

Does adherence to the principles of logic commit us to a particular way of viewing the world? Or are there ways of being – ways of behaving in the world, including ways of thinking, feeling, and speaking – that ground the normative constraints that logic imposes? Does the fact that assertions, the traditional elements of logic, are typically made about beings present a problem for metaphysical (or post-metaphysical) prospects of making assertions meaningfully about being? Does thinking about being (as opposed to beings) accordingly require revising or restricting logic's reach – and, if so, how is this possible? Or is there something precious about the very idea of thinking the limits of thinking? Contemporary scholars have become increasing sensitive to how Heidegger, much like Wittgenstein, instructively poses such questions. Heidegger on Logic is a collection of new essays by leading scholars who critically ponder the efficacy of his responses to them.