Handbook Of Logic

Author :
Publisher : Elsevier
ISBN 13 : 9780080466637
Total Pages : 1218 pages
Book Rating : 4.3X/5 ( download)

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Download or read book Philosophy of Logic written by and published by Elsevier. This book was released on 2006-11-29 with total page 1218 pages. Available in PDF, EPUB and Kindle. Book excerpt: The papers presented in this volume examine topics of central interest in contemporary philosophy of logic. They include reflections on the nature of logic and its relevance for philosophy today, and explore in depth developments in informal logic and the relation of informal to symbolic logic, mathematical metatheory and the limiting metatheorems, modal logic, many-valued logic, relevance and paraconsistent logic, free logics, extensional v. intensional logics, the logic of fiction, epistemic logic, formal logical and semantic paradoxes, the concept of truth, the formal theory of entailment, objectual and substitutional interpretation of the quantifiers, infinity and domain constraints, the Löwenheim-Skolem theorem and Skolem paradox, vagueness, modal realism v. actualism, counterfactuals and the logic of causation, applications of logic and mathematics to the physical sciences, logically possible worlds and counterpart semantics, and the legacy of Hilbert’s program and logicism. The handbook is meant to be both a compendium of new work in symbolic logic and an authoritative resource for students and researchers, a book to be consulted for specific information about recent developments in logic and to be read with pleasure for its technical acumen and philosophical insights. - Written by leading logicians and philosophers - Comprehensive authoritative coverage of all major areas of contemporary research in symbolic logic - Clear, in-depth expositions of technical detail - Progressive organization from general considerations to informal to symbolic logic to nonclassical logics - Presents current work in symbolic logic within a unified framework - Accessible to students, engaging for experts and professionals - Insightful philosophical discussions of all aspects of logic - Useful bibliographies in every chapter

Author : Johan F.A.K. van Benthem
Publisher : Elsevier
ISBN 13 : 0444537279
Total Pages : 1169 pages
Book Rating : 4.70/5 ( download)

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Download or read book Handbook of Logic and Language written by Johan F.A.K. van Benthem and published by Elsevier. This book was released on 2010-12-17 with total page 1169 pages. Available in PDF, EPUB and Kindle. Book excerpt: The logical study of language is becoming more interdisciplinary, playing a role in fields such as computer science, artificial intelligence, cognitive science and game theory. This new edition, written by the leading experts in the field, presents an overview of the latest developments at the interface of logic and linguistics as well as a historical perspective. It is divided into three parts covering Frameworks, General Topics and Descriptive Themes. Completely revised and updated - includes over 25% new material Discusses the interface between logic and language Many of the authors are creators or active developers of the theories

Author : John Harrison
Publisher : Cambridge University Press
ISBN 13 : 0521899575
Total Pages : 703 pages
Book Rating : 4.74/5 ( download)

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Download or read book Handbook of Practical Logic and Automated Reasoning written by John Harrison and published by Cambridge University Press. This book was released on 2009-03-12 with total page 703 pages. Available in PDF, EPUB and Kindle. Book excerpt: A one-stop reference, self-contained, with theoretical topics presented in conjunction with implementations for which code is supplied.

Author : Roland Houde
Publisher : BoD – Books on Demand
ISBN 13 : 3868385304
Total Pages : 178 pages
Book Rating : 4.04/5 ( download)

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Download or read book Handbook of Logic written by Roland Houde and published by BoD – Books on Demand. This book was released on 2022-01-05 with total page 178 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book represents the attempt to provide the student in the one semester introductory course in logic with 1. a handbook of the fundamentals of the science, brief and succinct enough to be practical and yet substantial enough to provide him with the solid foundation of the traditional from which to approach the “mysteries” of modern developments in the field. 2. A working knowledge of the science, out of which there may be built the personal equipment with which the student may be able to solve for himself the problems posed by the impact of the new on the old in the field of logic. 3. Sufficient problem material to enable the student to learn the use of logic, so that in reconciling in his own mind the new and the old, the modern and the traditional, he may do this logically.

Author : R.H. Johnson
Publisher : Elsevier
ISBN 13 : 0080532918
Total Pages : 508 pages
Book Rating : 4.12/5 ( download)

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Download or read book Handbook of the Logic of Argument and Inference written by R.H. Johnson and published by Elsevier. This book was released on 2002-09-11 with total page 508 pages. Available in PDF, EPUB and Kindle. Book excerpt: The Handbook of the Logic of Argument and Inference is an authoritative reference work in a single volume, designed for the attention of senior undergraduates, graduate students and researchers in all the leading research areas concerned with the logic of practical argument and inference. After an introductory chapter, the role of standard logics is surveyed in two chapters. These chapters can serve as a mini-course for interested readers, in deductive and inductive logic, or as a refresher. Then follow two chapters of criticism; one the internal critique and the other the empirical critique. The first deals with objections to standard logics (as theories of argument and inference) arising from the research programme in philosophical logic. The second canvasses criticisms arising from work in cognitive and experimental psychology. The next five chapters deal with developments in dialogue logic, interrogative logic, informal logic, probability logic and artificial intelligence. The last chapter surveys formal approaches to practical reasoning and anticipates possible future developments. Taken as a whole the Handbook is a single-volume indication of the present state of the logic of argument and inference at its conceptual and theoretical best. Future editions will periodically incorporate significant new developments.

Author : Dov M. Gabbay
Publisher : Elsevier
ISBN 13 : 008054939X
Total Pages : 691 pages
Book Rating : 4.92/5 ( download)

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Download or read book The Many Valued and Nonmonotonic Turn in Logic written by Dov M. Gabbay and published by Elsevier. This book was released on 2007-08-13 with total page 691 pages. Available in PDF, EPUB and Kindle. Book excerpt: The present volume of the Handbook of the History of Logic brings together two of the most important developments in 20th century non-classical logic. These are many-valuedness and non-monotonicity. On the one approach, in deference to vagueness, temporal or quantum indeterminacy or reference-failure, sentences that are classically non-bivalent are allowed as inputs and outputs to consequence relations. Many-valued, dialetheic, fuzzy and quantum logics are, among other things, principled attempts to regulate the flow-through of sentences that are neither true nor false. On the second, or non-monotonic, approach, constraints are placed on inputs (and sometimes on outputs) of a classical consequence relation, with a view to producing a notion of consequence that serves in a more realistic way the requirements of real-life inference. Many-valued logics produce an interesting problem. Non-bivalent inputs produce classically valid consequence statements, for any choice of outputs. A major task of many-valued logics of all stripes is to fashion an appropriately non-classical relation of consequence.The chief preoccupation of non-monotonic (and default) logicians is how to constrain inputs and outputs of the consequence relation. In what is called “left non-monotonicity , it is forbidden to add new sentences to the inputs of true consequence-statements. The restriction takes notice of the fact that new information will sometimes override an antecedently (and reasonably) derived consequence. In what is called “right non-monotonicity , limitations are imposed on outputs of the consequence relation. Most notably, perhaps, is the requirement that the rule of or-introduction not be given free sway on outputs. Also prominent is the effort of paraconsistent logicians, both preservationist and dialetheic, to limit the outputs of inconsistent inputs, which in classical contexts are wholly unconstrained.In some instances, our two themes coincide. Dialetheic logics are a case in point. Dialetheic logics allow certain selected sentences to have, as a third truth value, the classical values of truth and falsity together. So such logics also admit classically inconsistent inputs. A central task is to construct a right non-monotonic consequence relation that allows for these many-valued, and inconsistent, inputs.The Many Valued and Non-Monotonic Turn in Logic is an indispensable research tool for anyone interested in the development of logic, including researchers, graduate and senior undergraduate students in logic, history of logic, mathematics, history of mathematics, computer science, AI, linguistics, cognitive science, argumentation theory, and the history of ideas. Detailed and comprehensive chapters covering the entire range of modal logic. Contains the latest scholarly discoveries and interprative insights that answers many questions in the field of logic.

Author : Steven G. Krantz
Publisher : Springer Science & Business Media
ISBN 13 : 1461201152
Total Pages : 257 pages
Book Rating : 4.51/5 ( download)

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Download or read book Handbook of Logic and Proof Techniques for Computer Science written by Steven G. Krantz and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 257 pages. Available in PDF, EPUB and Kindle. Book excerpt: Logic is, and should be, the core subject area of modern mathemat ics. The blueprint for twentieth century mathematical thought, thanks to Hilbert and Bourbaki, is the axiomatic development of the subject. As a result, logic plays a central conceptual role. At the same time, mathematical logic has grown into one of the most recondite areas of mathematics. Most of modern logic is inaccessible to all but the special ist. Yet there is a need for many mathematical scientists-not just those engaged in mathematical research-to become conversant with the key ideas of logic. The Handbook of Mathematical Logic, edited by Jon Bar wise, is in point of fact a handbook written by logicians for other mathe maticians. It was, at the time of its writing, encyclopedic, authoritative, and up-to-the-moment. But it was, and remains, a comprehensive and authoritative book for the cognoscenti. The encyclopedic Handbook of Logic in Computer Science by Abramsky, Gabbay, and Maibaum is a wonderful resource for the professional. But it is overwhelming for the casual user. There is need for a book that introduces important logic terminology and concepts to the working mathematical scientist who has only a passing acquaintance with logic. Thus the present work has a different target audience. The intent of this handbook is to present the elements of modern logic, including many current topics, to the reader having only basic mathe matical literacy.

Author : Stephen L. Vargo
Publisher : SAGE
ISBN 13 : 1526455501
Total Pages : 1237 pages
Book Rating : 4.05/5 ( download)

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Download or read book The SAGE Handbook of Service-Dominant Logic written by Stephen L. Vargo and published by SAGE. This book was released on 2018-10-08 with total page 1237 pages. Available in PDF, EPUB and Kindle. Book excerpt: Service-Dominant Logic presents a major paradigm shift in thinking about value creation and markets, moving from a ‘goods/product’ logic to a logic that treats the process of service provision as the basis of all exchange, both commercial and social. This timely Handbook brings together chapters written by a stellar cast of expert authors from around the globe, arranged around eleven core themes, to provide a comprehensive overview of key issues, developments, debates and potential future directions for this dynamic field of study: Part 1: Introduction and Background Part 2: Value Cocreation Part 3: Service Exchange Part 4: Service Ecosystems Part 5: Institutions and Institutional Arrangements Part 6: Resources and Resource Integration Part 7: Actors and Practices Part 8: Innovation Part 9: Midrange Theory Part 10: Selected Applications Part 11: Reflections and Prospects This Handbook is an essential reference text for scholars, students, consultants and advanced practitioners across a wide range of business & management practices and academic disciplines.

Author : Dov M. Gabbay
Publisher : Elsevier
ISBN 13 : 008053287X
Total Pages : 781 pages
Book Rating : 4.75/5 ( download)

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Download or read book The Rise of Modern Logic: from Leibniz to Frege written by Dov M. Gabbay and published by Elsevier. This book was released on 2004-03-08 with total page 781 pages. Available in PDF, EPUB and Kindle. Book excerpt: With the publication of the present volume, the Handbook of the History of Logic turns its attention to the rise of modern logic. The period covered is 1685-1900, with this volume carving out the territory from Leibniz to Frege. What is striking about this period is the earliness and persistence of what could be called 'the mathematical turn in logic'. Virtually every working logician is aware that, after a centuries-long run, the logic that originated in antiquity came to be displaced by a new approach with a dominantly mathematical character. It is, however, a substantial error to suppose that the mathematization of logic was, in all essentials, Frege's accomplishment or, if not his alone, a development ensuing from the second half of the nineteenth century. The mathematical turn in logic, although given considerable torque by events of the nineteenth century, can with assurance be dated from the final quarter of the seventeenth century in the impressively prescient work of Leibniz. It is true that, in the three hundred year run-up to the Begriffsschrift, one does not see a smoothly continuous evolution of the mathematical turn, but the idea that logic is mathematics, albeit perhaps only the most general part of mathematics, is one that attracted some degree of support throughout the entire period in question. Still, as Alfred North Whitehead once noted, the relationship between mathematics and symbolic logic has been an "uneasy" one, as is the present-day association of mathematics with computing. Some of this unease has a philosophical texture. For example, those who equate mathematics and logic sometimes disagree about the directionality of the purported identity. Frege and Russell made themselves famous by insisting (though for different reasons) that logic was the senior partner. Indeed logicism is the view that mathematics can be re-expressed without relevant loss in a suitably framed symbolic logic. But for a number of thinkers who took an algebraic approach to logic, the dependency relation was reversed, with mathematics in some form emerging as the senior partner. This was the precursor of the modern view that, in its four main precincts (set theory, proof theory, model theory and recursion theory), logic is indeed a branch of pure mathematics. It would be a mistake to leave the impression that the mathematization of logic (or the logicization of mathematics) was the sole concern of the history of logic between 1665 and 1900. There are, in this long interval, aspects of the modern unfolding of logic that bear no stamp of the imperial designs of mathematicians, as the chapters on Kant and Hegcl make clear. Of the two, Hcgel's influence on logic is arguably the greater, serving as a spur to the unfolding of an idealist tradition in logic - a development that will be covered in a further volume, British Logic in the Nineteenth Century.

Author : Marco Aiello
Publisher : Springer Science & Business Media
ISBN 13 : 1402055870
Total Pages : 1072 pages
Book Rating : 4.74/5 ( download)

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Download or read book Handbook of Spatial Logics written by Marco Aiello and published by Springer Science & Business Media. This book was released on 2007-09-04 with total page 1072 pages. Available in PDF, EPUB and Kindle. Book excerpt: The aim of this handbook is to create, for the first time, a systematic account of the field of spatial logic. The book comprises a general introduction, followed by fourteen chapters by invited authors. Each chapter provides a self-contained overview of its topic, describing the principal results obtained to date, explaining the methods used to obtain them, and listing the most important open problems. Jointly, these contributions constitute a comprehensive survey of this rapidly expanding subject.