Search Results: universal-logic-an-anthology-from-paul-hertz-to-dov-gabbay-studies-in-universal-logic

Universal Logic: An Anthology

From Paul Hertz to Dov Gabbay

Author: Jean-Yves Béziau

Publisher: Birkhäuser

ISBN: 9783034601467

Category: Mathematics

Page: 410

View: 731

A collection of papers from Paul Hertz to Dov Gabbay - through Tarski, Gödel, Kripke - giving a general perspective about logical systems. These papers discuss questions such as the relativity and nature of logic, present tools such as consequence operators and combinations of logics, prove theorems such as translations between logics, investigate the domain of validity and application of fundamental results such as compactness and completeness. Each of these papers is presented by a specialist explaining its context, import and influence.

The Road to Universal Logic

Festschrift for the 50th Birthday of Jean-Yves Béziau

Author: Arnold Koslow,Arthur Buchsbaum

Publisher: Birkhäuser

ISBN: 3319153684

Category: Mathematics

Page: 604

View: 4882

This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert). The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade. These essays will be of interest to all students and researchers interested in the nature and future of logic.

Contradictions, from Consistency to Inconsistency

Author: Walter Carnielli

Publisher: Springer

ISBN: 3319987976

Category:

Page: N.A

View: 3594

Interactive Granular Computations in Networks and Systems Engineering: A Practical Perspective

Author: Andrzej Jankowski

Publisher: Springer

ISBN: 3319576275

Category: Technology & Engineering

Page: 654

View: 6061

The book outlines selected projects conducted under the supervision of the author. Moreover, it discusses significant relations between Interactive Granular Computing (IGrC) and numerous dynamically developing scientific domains worldwide, along with features characteristic of the author’s approach to IGrC. The results presented are a continuation and elaboration of various aspects of Wisdom Technology, initiated and developed in cooperation with Professor Andrzej Skowron. Based on the empirical findings from these projects, the author explores the following areas: (a) understanding the causes of the theory and practice gap problem (TPGP) in complex systems engineering (CSE); (b) generalizing computing models of complex adaptive systems (CAS) (in particular, natural computing models) by constructing an interactive granular computing (IGrC) model of networks of interrelated interacting complex granules (c-granules), belonging to a single agent and/or to a group of agents; (c) developing methodologies based on the IGrC model to minimize the negative consequences of the TPGP. The book introduces approaches to the above issues, using the proposed IGrC model. In particular, the IGrC model refers to the key mechanisms used to control the processes related to the implementation of CSE projects. One of the main aims was to develop a mechanism of IGrC control over computations that model a project’s implementation processes to maximize the chances of its success, while at the same time minimizing the emerging risks. In this regard, the IGrC control is usually performed by means of properly selected and enforced (among project participants) project principles. These principles constitute examples of c-granules, expressed by complex vague concepts (represented by c-granules too). The c-granules evolve with time (in particular, the meaning of the concepts is also subject of change). This methodology is illustrated using project principles applied by the author during the implementation of the POLTAX, AlgoTradix, Merix, and Excavio projects outlined in the book.

Logic: A History of its Central Concepts

Author: Dov M. Gabbay,Francis Jeffry Pelletier,John Woods

Publisher: Newnes

ISBN: 0080931707

Category: Mathematics

Page: 708

View: 3569

The Handbook of the History of Logic is a multi-volume research instrument that brings to the development of logic the best in modern techniques of historical and interpretative scholarship. It is the first work in English in which the history of logic is presented so extensively. The volumes are numerous and large. Authors have been given considerable latitude to produce chapters of a length, and a level of detail, that would lay fair claim on the ambitions of the project to be a definitive research work. Authors have been carefully selected with this aim in mind. They and the Editors join in the conviction that a knowledge of the history of logic is nothing but beneficial to the subject's present-day research programmes. One of the attractions of the Handbook's several volumes is the emphasis they give to the enduring relevance of developments in logic throughout the ages, including some of the earliest manifestations of the subject. Covers in depth the notion of logical consequence Discusses the central concept in logic of modality Includes the use of diagrams in logical reasoning

Truth and Falsehood

An Inquiry into Generalized Logical Values

Author: Yaroslav Shramko,Heinrich Wansing

Publisher: Springer Science & Business Media

ISBN: 9789400709072

Category: Philosophy

Page: 250

View: 7129

The book presents a thoroughly elaborated logical theory of generalized truth-values understood as subsets of some established set of (basic) truth values. After elucidating the importance of the very notion of a truth value in logic and philosophy, we examine some possible ways of generalizing this notion. The useful four-valued logic of first-degree entailment by Nuel Belnap and the notion of a bilattice (a lattice of truth values with two ordering relations) constitute the basis for further generalizations. By doing so we elaborate the idea of a multilattice, and most notably, a trilattice of truth values – a specific algebraic structure with information ordering and two distinct logical orderings, one for truth and another for falsity. Each logical order not only induces its own logical vocabulary, but determines also its own entailment relation. We consider both semantic and syntactic ways of formalizing these relations and construct various logical calculi.

Logica Universalis

Towards a General Theory of Logic

Author: Jean-Yves Beziau

Publisher: Springer Science & Business Media

ISBN: 3764383542

Category: Mathematics

Page: 246

View: 1053

Universal Logic is not a new logic, but a general theory of logics, considered as mathematical structures. The name was introduced about ten years ago, but the subject is as old as the beginning of modern logic. It was revived after the flowering of thousands of new logics during the last thirty years: there was a need for a systematic theory of logics to put some order in this chaotic multiplicity. The present book contains recent works on universal logic by first-class researchers from all around the world. The book is full of new and challenging ideas that will guide the future of this exciting subject. It will be of interest for people who want to better understand what logic is. It will help those who are lost in the jungle of heterogeneous logical systems to find a way. Tools and concepts are provided here for those who want to study classes of already existing logics or want to design and build new ones.

Text, Speech and Dialogue

15th International Conference, TSD 2012, Brno, Czech Republic, September 3-7, 2012, Proceedings

Author: Petr Sojka,Aleš Horak,Ivan Kopecek,Karel Pala

Publisher: Springer

ISBN: 3642327907

Category: Computers

Page: 700

View: 4879

This book constitutes the refereed proceedings of the 15th International Conference on Text, Speech and Dialogue, TSD 2012, held in Brno, Czech Republic, in September 2012. The 82 papers presented together with 2 invited talks were carefully reviewed and selected from 173 submissions. The papers are organized in topical sections on corpora and language resources, speech recognition, tagging, classification and parsing of text and speech, speech and spoken language generation, semantic processing of text and speech, integrating applications of text and speech processing, machine translation, automatic dialogue systems, multimodal techniques and modeling.

The Square of Opposition

A General Framework for Cognition

Author: Jean-Yves Beziau,Gillman Payette

Publisher: Peter Lang Pub Incorporated

ISBN: 9783034305372

Category: Philosophy

Page: 503

View: 4085

Papers ... "selected from a larger number of contributions most of them based on talks presented at the First World Congress on the Square of Opposition organized in Montreux in June 2007"--Preface, p. 12.

A Course in Enumeration

Author: Martin Aigner

Publisher: Springer Science & Business Media

ISBN: 3540390359

Category: Mathematics

Page: 565

View: 8611

Combinatorial enumeration is a readily accessible subject full of easily stated, but sometimes tantalizingly difficult problems. This book leads the reader in a leisurely way from basic notions of combinatorial enumeration to a variety of topics, ranging from algebra to statistical physics. The book is organized in three parts: Basics, Methods, and Topics. The aim is to introduce readers to a fascinating field, and to offer a sophisticated source of information for professional mathematicians desiring to learn more. There are 666 exercises, and every chapter ends with a highlight section, discussing in detail a particularly beautiful or famous result.

Definitions and Definability: Philosophical Perspectives

Author: J.H. Fetzer,D. Shatz,G. Schlesinger

Publisher: Springer Science & Business Media

ISBN: 9401133468

Category: Philosophy

Page: 334

View: 2116

Labyrinth of Thought

A History of Set Theory and Its Role in Modern Mathematics

Author: Jose Ferreiros

Publisher: Springer Science & Business Media

ISBN: 9783764357498

Category: Mathematics

Page: 440

View: 9472

"José Ferreirós has written a magisterial account of the history of set theory which is panoramic, balanced, and engaging. Not only does this book synthesize much previous work and provide fresh insights and points of view, but it also features a major innovation, a full-fledged treatment of the emergence of the set-theoretic approach in mathematics from the early nineteenth century. This takes up Part One of the book. Part Two analyzes the crucial developments in the last quarter of the nineteenth century, above all the work of Cantor, but also Dedekind and the interaction between the two. Lastly, Part Three details the development of set theory up to 1950, taking account of foundational questions and the emergence of the modern axiomatization." (Bulletin of Symbolic Logic)

Foucault’s Strata and Fields

An Investigation into Archaeological and Genealogical Science Studies

Author: Maren Kusch

Publisher: Springer Science & Business Media

ISBN: 9401135401

Category: History

Page: 272

View: 5889

Logic's Lost Genius

Author: Eckart Menzler-Trott

Publisher: American Mathematical Soc.

ISBN: 1470428121

Category:

Page: 442

View: 481

Gerhard Gentzen (1909–1945) is the founder of modern structural proof theory. His lasting methods, rules, and structures resulted not only in the technical mathematical discipline called “proof theory” but also in verification programs that are essential in computer science. The appearance, clarity, and elegance of Gentzen's work on natural deduction, the sequent calculus, and ordinal proof theory continue to be impressive even today. The present book gives the first comprehensive, detailed, accurate scientific biography expounding the life and work of Gerhard Gentzen, one of our greatest logicians, until his arrest and death in Prague in 1945. Particular emphasis in the book is put on the conditions of scientific research, in this case mathematical logic, in National Socialist Germany, the ideological fight for “German logic”, and their mutual protagonists. Numerous hitherto unpublished sources, family documents, archival material, interviews, and letters, as well as Gentzen's lectures for the mathematical public, make this book an indispensable source of information on this important mathematician, his work, and his time. The volume is completed by two deep substantial essays by Jan von Plato and Craig Smoryński on Gentzen's proof theory; its relation to the ideas of Hilbert, Brouwer, Weyl, and Gödel; and its development up to the present day. Smoryński explains the Hilbert program in more than the usual slogan form and shows why consistency is important. Von Plato shows in detail the benefits of Gentzen's program. This important book is a self-contained starting point for any work on Gentzen and his logic. The book is accessible to a wide audience with different backgrounds and is suitable for general readers, researchers, students, and teachers.

Methods of Solving Nonstandard Problems

Author: Ellina Grigorieva

Publisher: Birkhäuser

ISBN: 3319198874

Category: Mathematics

Page: 327

View: 5660

This book, written by an accomplished female mathematician, is the second to explore nonstandard mathematical problems – those that are not directly solved by standard mathematical methods but instead rely on insight and the synthesis of a variety of mathematical ideas. It promotes mental activity as well as greater mathematical skills, and is an ideal resource for successful preparation for the mathematics Olympiad. Numerous strategies and techniques are presented that can be used to solve intriguing and challenging problems of the type often found in competitions. The author uses a friendly, non-intimidating approach to emphasize connections between different fields of mathematics and often proposes several different ways to attack the same problem. Topics covered include functions and their properties, polynomials, trigonometric and transcendental equations and inequalities, optimization, differential equations, nonlinear systems, and word problems. Over 360 problems are included with hints, answers, and detailed solutions. Methods of Solving Nonstandard Problems will interest high school and college students, whether they are preparing for a math competition or looking to improve their mathematical skills, as well as anyone who enjoys an intellectual challenge and has a special love for mathematics. Teachers and college professors will be able to use it as an extra resource in the classroom to augment a conventional course of instruction in order to stimulate abstract thinking and inspire original thought.

Characters in Fictional Worlds

Understanding Imaginary Beings in Literature, Film, and Other Media

Author: Jens Eder,Fotis Jannidis,Ralf Schneider

Publisher: Walter de Gruyter

ISBN: 3110232421

Category: Literary Criticism

Page: 605

View: 4746

Although fictional characters have long dominated the reception of literature, films, television programs, comics, and other media products, only recently have they begun to attract their due attention in literary and media theory. The book systematically surveys today´s diverse and at times conflicting theoretical perspectives on fictional character, spanning research on topics such as the differences between fictional characters and real persons, the ontological status of characters, the strategies of their representation and characterization, the psychology of their reception, as well as their specific forms and constellations in - and across - different media, from the book to the internet.

Prophecy in the Ancient Near East

A Philological and Sociological Comparison

Author: Jonathan Stökl

Publisher: BRILL

ISBN: 9004229930

Category: History

Page: 316

View: 7935

Prophecy in the Ancient Near East is the first book-length study that compares all evidence of ancient Near Eastern prophecy, focusing on the Mari texts. It re-evaluates recent scholarship and concludes that prophecy was a widespread phenomenon integrated into divination in general.

Constantin Carathéodory

Mathematics and Politics in Turbulent Times

Author: Maria Georgiadou

Publisher: Springer Science & Business Media

ISBN: 3642185622

Category: Mathematics

Page: 651

View: 9154

With breathtaking detail, Maria Georgiadou sheds light on the work and life of Constantin Carathéodory, who until now has been ignored by historians. In her thought-provoking book, Georgiadou maps out the mathematician’s oeuvre, life and turbulent historical surroundings. Descending from the Greek élite of Constantinople, Carathéodory graduated from the military school of Brussels, became engineer at the Assiout dam in Egypt and finally dedicated a lifetime to mathematics and education. He significantly contributed to: calculus of variations, the theory of point set measure, the theory of functions of a real variable, pdes, and complex function theory. An exciting and well-written biography, once started, difficult to put down.

Harmonies of Disorder

Norbert Wiener: A Mathematician-Philosopher of Our Time

Author: Leone Montagnini

Publisher: Springer

ISBN: 3319506579

Category: Mathematics

Page: 307

View: 4269

This book presents the entire body of thought of Norbert Wiener (1894–1964), knowledge of which is essential if one wishes to understand and correctly interpret the age in which we live. The focus is in particular on the philosophical and sociological aspects of Wiener’s thought, but these aspects are carefully framed within the context of his scientific journey. Important biographical events, including some that were previously unknown, are also highlighted, but while the book has a biographical structure, it is not only a biography. The book is divided into four chronological sections, the first two of which explore Wiener’s development as a philosopher and logician and his brilliant interwar career as a mathematician, supported by his philosophical background. The third section considers his research during World War II, which drew upon his previous scientific work and reflections and led to the birth of cybernetics. Finally, the radical post-war shift in Wiener’s intellectual path is considered, examining how he came to abandon computer science projects and commenced ceaseless public reflections on the new sciences and technologies of information, their social effects, and the need for responsibility in science.

Social Psychology of Inclusion and Exclusion

Author: Dominic Abrams,Michael A. Hogg,José M. Marques

Publisher: Psychology Press

ISBN: 1135432821

Category: Psychology

Page: 376

View: 2528

This book is about the social psychological dynamics and phenomenology of social inclusion and exclusion. The editors take as their starting point the assumption that social life is conducted in a framework of relationships in which individuals seek inclusion and belongingness. Relationships necessarily include others, but equally they have boundaries that exclude. Frequently these boundaries are challenged or crossed. The book will draw together research on individual motivation, small group processes, stigmatization and intergroup relations, to provide a comprehensive social psychological account of social inclusion and exclusion.

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