Internal Logic

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The Road to Universal Logic

Arnold Koslow,Arthur Buchsbaum
The Road to Universal Logic Book PDF

Author : Arnold Koslow,Arthur Buchsbaum
Publisher : Birkhäuser
Page : 604 pages
File Size : 53,7 Mb
Release : 2015-06-10
Category : Mathematics
ISBN : 9783319153681

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The Road to Universal Logic by Arnold Koslow,Arthur Buchsbaum Pdf

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.

Mathematical Logic and Theoretical Computer Science

David Kueker
Mathematical Logic and Theoretical Computer Science Book PDF

Author : David Kueker
Publisher : CRC Press
Page : 420 pages
File Size : 45,6 Mb
Release : 2020-12-22
Category : Mathematics
ISBN : 9781000154603

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Mathematical Logic and Theoretical Computer Science by David Kueker Pdf

Mathematical Logic and Theoretical Computer Science covers various topics ranging from recursion theory to Zariski topoi. Leading international authorities discuss selected topics in a number of areas, including denotational semanitcs, reccuriosn theoretic aspects fo computer science, model theory and algebra, Automath and automated reasoning, stability theory, topoi and mathematics, and topoi and logic. The most up-to-date review available in its field, Mathematical Logic and Theoretical Computer Science will be of interest to mathematical logicians, computer scientists, algebraists, algebraic geometers, differential geometers, differential topologists, and graduate students in mathematics and computer science.

Computer Science Logic

Georg Gottlob,Etienne Grandjean,Katrin Seyr
Computer Science Logic Book PDF

Author : Georg Gottlob,Etienne Grandjean,Katrin Seyr
Publisher : Springer
Page : 442 pages
File Size : 42,5 Mb
Release : 2006-10-11
Category : Computers
ISBN : 9783540488552

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Computer Science Logic by Georg Gottlob,Etienne Grandjean,Katrin Seyr Pdf

This book constitutes the strictly refereed post-workshop proceedings of the 12th International Workshop on Computer Science Logic, CSL '98, held as the Annual Conference of the European Association on Computer Science Logic in Brno, Czech Republic in August 1998. The 25 revised full papers presented were carefully reviewed and selected during two rounds of reviewing and revision. Also included are three reviewed invited papers. The papers span the whole scope of computer science logic and mathematical foundations and represent the state of the art in the area.

The Logic of Entailment and its History

Edwin Mares
The Logic of Entailment and its History Book PDF

Author : Edwin Mares
Publisher : Cambridge University Press
Page : 282 pages
File Size : 46,8 Mb
Release : 2024-01-31
Category : Mathematics
ISBN : 9781009375290

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The Logic of Entailment and its History by Edwin Mares Pdf

What follows from what, and how do we make statements (whether true or false) about which inferences are correct? In this book, Edwin Mares provides a new philosophical, semantical and historical analysis of and justification for the relevant logic of entailment. In the first half of the book he examines some key ideas in the historical development of the logic of entailment, looking in particular at the notion 'is derivable from' and at how symbolic logic has attempted to capture this notion. In the second half of the book he develops his own theory connecting ideas from the traditions in mathematical logic with some ideas in the philosophy of science. The book's fresh and original perspective on the logic of entailment will be valuable for all who want to know more about the historical and philosophical origins of modern symbolic logic.

Mathematical Principles of Fuzzy Logic

Vilém Novák,Irina Perfilieva,J. Mockor
Mathematical Principles of Fuzzy Logic Book PDF

Author : Vilém Novák,Irina Perfilieva,J. Mockor
Publisher : Springer Science & Business Media
Page : 327 pages
File Size : 54,8 Mb
Release : 2012-12-06
Category : Mathematics
ISBN : 9781461552178

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Mathematical Principles of Fuzzy Logic by Vilém Novák,Irina Perfilieva,J. Mockor Pdf

Mathematical Principles of Fuzzy Logic provides a systematic study of the formal theory of fuzzy logic. The book is based on logical formalism demonstrating that fuzzy logic is a well-developed logical theory. It includes the theory of functional systems in fuzzy logic, providing an explanation of what can be represented, and how, by formulas of fuzzy logic calculi. It also presents a more general interpretation of fuzzy logic within the environment of other proper categories of fuzzy sets stemming either from the topos theory, or even generalizing the latter. This book presents fuzzy logic as the mathematical theory of vagueness as well as the theory of commonsense human reasoning, based on the use of natural language, the distinguishing feature of which is the vagueness of its semantics.

Logic, Mathematics, Philosophy, Vintage Enthusiasms

David DeVidi,Michael Hallett,Peter Clark
Logic Mathematics Philosophy Vintage Enthusiasms Book PDF

Author : David DeVidi,Michael Hallett,Peter Clark
Publisher : Springer Science & Business Media
Page : 487 pages
File Size : 50,5 Mb
Release : 2011-03-23
Category : Philosophy
ISBN : 9789400702141

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Logic, Mathematics, Philosophy, Vintage Enthusiasms by David DeVidi,Michael Hallett,Peter Clark Pdf

The volume includes twenty-five research papers presented as gifts to John L. Bell to celebrate his 60th birthday by colleagues, former students, friends and admirers. Like Bell’s own work, the contributions cross boundaries into several inter-related fields. The contributions are new work by highly respected figures, several of whom are among the key figures in their fields. Some examples: in foundations of maths and logic (William Lawvere, Peter Aczel, Graham Priest, Giovanni Sambin); analytical philosophy (Michael Dummett, William Demopoulos), philosophy of science (Michael Redhead, Frank Arntzenius), philosophy of mathematics (Michael Hallett, John Mayberry, Daniel Isaacson) and decision theory and foundations of economics (Ken Bimore). Most articles are contributions to current philosophical debates, but contributions also include some new mathematical results, important historical surveys, and a translation by Wilfrid Hodges of a key work of arabic logic.

Handbook of Philosophical Logic

D.M. Gabbay,Franz Guenthner
Handbook of Philosophical Logic Book PDF

Author : D.M. Gabbay,Franz Guenthner
Publisher : Springer Science & Business Media
Page : 382 pages
File Size : 40,6 Mb
Release : 2005-12-15
Category : Philosophy
ISBN : 9781402030925

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Handbook of Philosophical Logic by D.M. Gabbay,Franz Guenthner Pdf

The first edition of the Handbook of Philosophical Logic (four volumes) was published in the period 1983-1989 and has proven to be an invaluable reference work to both students and researchers in formal philosophy, language and logic. The second edition of the Handbook is intended to comprise some 18 volumes and will provide a very up-to-date authoritative, in-depth coverage of all major topics in philosophical logic and its applications in many cutting-edge fields relating to computer science, language, argumentation, etc. The volumes will no longer be as topic-oriented as with the first edition because of the way the subject has evolved over the last 15 years or so. However the volumes will follow some natural groupings of chapters. Audience: Students and researchers whose work or interests involve philosophical logic and its applications

Internal Logic

Y. Gauthier
Internal Logic Book PDF

Author : Y. Gauthier
Publisher : Springer Science & Business Media
Page : 276 pages
File Size : 47,7 Mb
Release : 2002-06-30
Category : Mathematics
ISBN : 1402006896

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Internal Logic by Y. Gauthier Pdf

Internal logic is the logic of content. The content is here arithmetic and the emphasis is on a constructive logic of arithmetic (arithmetical logic). Kronecker's general arithmetic of forms (polynomials) together with Fermat's infinite descent is put to use in an internal consistency proof. The view is developed in the context of a radical arithmetization of mathematics and logic and covers the many-faceted heritage of Kronecker's work, which includes not only Hilbert, but also Frege, Cantor, Dedekind, Husserl and Brouwer. The book will be of primary interest to logicians, philosophers and mathematicians interested in the foundations of mathematics and the philosophical implications of constructivist mathematics. It may also be of interest to historians, since it covers a fifty-year period, from 1880 to 1930, which has been crucial in the foundational debates and their repercussions on the contemporary scene.

Field Programmable Logic and Application

Jürgen Becker,Marco Platzner,Serge Vernalde
Field Programmable Logic and Application Book PDF

Author : Jürgen Becker,Marco Platzner,Serge Vernalde
Publisher : Springer
Page : 1202 pages
File Size : 49,5 Mb
Release : 2004-08-11
Category : Computers
ISBN : 9783540301172

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Field Programmable Logic and Application by Jürgen Becker,Marco Platzner,Serge Vernalde Pdf

This book contains the papers presented at the 14th International Conference on Field Programmable Logic and Applications (FPL) held during August 30th- September 1st 2004. The conference was hosted by the Interuniversity Micro- Electronics Center (IMEC) in Leuven, Belgium. The FPL series of conferences was founded in 1991 at Oxford University (UK), and has been held annually since: in Oxford (3 times), Vienna, Prague, Darmstadt, London, Tallinn, Glasgow, Villach, Belfast, Montpellier and Lisbon. It is the largest and oldest conference in reconfigurable computing and brings together academic researchers, industry experts, users and newcomers in an informal, welcoming atmosphere that encourages productive exchange of ideas and knowledge between the delegates. The fast and exciting advances in field programmable logic are increasing steadily with more and more application potential and need. New ground has been broken in architectures, design techniques, (partial) run-time reconfiguration and applications of field programmable devices in several different areas. Many of these recent innovations are reported in this volume. The size of the FPL conferences has grown significantly over the years. FPL in 2003 saw 216 papers submitted. The interest and support for FPL in the programmable logic community continued this year with 285 scientific papers submitted, demonstrating a 32% increase when compared to the year before. The technical program was assembled from 78 selected regular papers, 45 additional short papers and 29 posters, resulting in this volume of proceedings. The program also included three invited plenary keynote presentations from Xilinx, Gilder Technology Report and Altera, and three embedded tutorials from Xilinx, the Universit ̈ at Karlsruhe (TH) and the University of Oslo.

Essays on Non-classical Logic

Heinrich Wansing
Essays on Non classical Logic Book PDF

Author : Heinrich Wansing
Publisher : World Scientific
Page : 275 pages
File Size : 45,8 Mb
Release : 2001
Category : Philosophy
ISBN : 9789812799746

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Essays on Non-classical Logic by Heinrich Wansing Pdf

This book covers a broad range of up-to-date issues in non-classical logic that are of interest not only to philosophical and mathematical logicians but also to computer scientists and researchers in artificial intelligence. The problems addressed range from methodological issues in paraconsistent and deontic logic to the revision theory of truth and infinite Turing machines. The book identifies a number of important current trends in contemporary non-classical logic. Among them are dialogical and substructural logic, the classification of concepts of negation, truthmaker theory, and mathematical and foundational aspects of modal and temporal logic. Contents: Fine-Grained Theories of Time (P Blackburn); Revision Sequences and Computers with an Infinite Amount of Time (B LAwe); On Frege's Nightmare: A Combination of Intuitionistic, Free and Paraconsistent Logics (S Rahman); Truthmakers, Entailment and Necessity (S Read); Global Definability in Basic Modal Logic (M de Rijke & H Sturm); Ackermann's Implication for Typefree Logic (K Robering); Why Dialogical Logic? (H Rckert); Semantics for Constructive Negations (Y Shramko); Recent Trends in Paraconsistent Logic (M Urchs); Obligations, Authorities, and History Dependence (H Wansing). Readership: Graduate students and researchers in philosophical logic and mathematical logic, as well as computer scientists in artificial intelligence."

Fields of Logic and Computation III

Andreas Blass,Patrick Cégielski,Nachum Dershowitz,Manfred Droste,Bernd Finkbeiner
Fields of Logic and Computation III Book PDF

Author : Andreas Blass,Patrick Cégielski,Nachum Dershowitz,Manfred Droste,Bernd Finkbeiner
Publisher : Springer Nature
Page : 349 pages
File Size : 51,5 Mb
Release : 2020-05-22
Category : Computers
ISBN : 9783030480066

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Fields of Logic and Computation III by Andreas Blass,Patrick Cégielski,Nachum Dershowitz,Manfred Droste,Bernd Finkbeiner Pdf

This Festschrift is published in honor of Yuri Gurevich’s 80th birthday. An associated conference, YuriFest 2020, was planned for May 18–20 in Fontainebleau, France, in combination with the 39th Journées sur les Arithmétiques Faibles also celebrating Yuri’s 80th birthday. Because of the coronavirus situation, the conference had to be postponed, but this Festschrift is being published as originally planned. It addresses a very wide variety of topics, but by no means all of the fields of logic and computation in which Yuri has made important progress.

Introduction to Elementary Mathematical Logic

Abram Aronovich Stolyar
Introduction to Elementary Mathematical Logic Book PDF

Author : Abram Aronovich Stolyar
Publisher : Courier Corporation
Page : 229 pages
File Size : 53,8 Mb
Release : 1984-01-01
Category : Mathematics
ISBN : 9780486645612

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Introduction to Elementary Mathematical Logic by Abram Aronovich Stolyar Pdf

This lucid, non-intimidating presentation by a Russian scholar explores propositional logic, propositional calculus, and predicate logic. Topics include computer science and systems analysis, linguistics, and problems in the foundations of mathematics. Accessible to high school students, it also constitutes a valuable review of fundamentals for professionals. 1970 edition.

The Semantics and Proof Theory of the Logic of Bunched Implications

David J. Pym
The Semantics and Proof Theory of the Logic of Bunched Implications Book PDF

Author : David J. Pym
Publisher : Springer Science & Business Media
Page : 348 pages
File Size : 41,9 Mb
Release : 2002-07-31
Category : Mathematics
ISBN : 1402007450

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The Semantics and Proof Theory of the Logic of Bunched Implications by David J. Pym Pdf

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 informatics: • Resources as a basis for semantics; • Proof-search as a basis for reasoning; and • The theory of representation of object-logics in a meta-logic. The ensuing development represents a logical theory which draws upon the mathematical, philosophical and computational aspects of logic. Part I presents the logical theory of propositional BI, together with a computational interpretation. Part II presents a corresponding devel opment for predicate BI. In both parts, I develop proof-, model- and type-theoretic analyses. I also provide semantically-motivated compu tational perspectives, so beginning a mathematical theory of resources. I have not included any analysis, beyond conjecture, of properties such as decidability, finite models, games or complexity. I prefer to leave these matters to other occasions, perhaps in broader contexts.

Logic and the Way of Jesus

Travis Dickinson
Logic and the Way of Jesus Book PDF

Author : Travis Dickinson
Publisher : B&H Publishing Group
Page : 240 pages
File Size : 54,7 Mb
Release : 2022-02-15
Category : Religion
ISBN : 9781535983266

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Logic and the Way of Jesus by Travis Dickinson Pdf

In Logic and the Way of Jesus, philosophy professor Travis Dickinson recaptures the need for a Christian view of reality, highlighting the use of reason and evidence to develop and defend Christian beliefs. He demonstrates how Jesus employed logic in his teachings, surveys the basic concepts of logic, and marries those concepts with practical application. While Dickinson contends that Christians have failed to engage the culture deeply because they have failed to emphasize and value a Christian intellect, he offers encouragement that embracing the life of the Christian mind can impact the world for the cause and kingdom of Christ.

Principles and Practices in Augmentative and Alternative Communication

Donald Fuller,Lyle Lloyd
Principles and Practices in Augmentative and Alternative Communication Book PDF

Author : Donald Fuller,Lyle Lloyd
Publisher : Taylor & Francis
Page : 1549 pages
File Size : 51,5 Mb
Release : 2024-06-01
Category : Medical
ISBN : 9781040142776

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Principles and Practices in Augmentative and Alternative Communication by Donald Fuller,Lyle Lloyd Pdf

A definitive textbook for students in speech-language pathology, audiology, and communication sciences and disorders, Principles and Practices in Augmentative and Alternative Communication offers students an introduction to augmentative and alternative communication (AAC) and prepares them for working with clients with complex communication needs. Editors Drs. Donald R. Fuller and Lyle L. Lloyd and their contributors provide a foundation for the development of assessment and intervention procedures and practices within the framework of the communication model and its major components: the means to represent, the means to select, and the means to transmit. Principles and Practices in Augmentative and Alternative Communication consists of five major units: An introduction to AAC, from its history to current practice An overview of AAC symbols and a comprehensive discussion of aided and unaided symbols A review of AAC technology The components of AAC assessment: principles, vocabulary, symbol selection, and the prescription of AAC technology AAC intervention: everything from the components of the intervention process to examples from specific cases and settings Included with the text are online supplemental materials for faculty use in the classroom. Students and professionals looking for a foundational textbook in the field of AAC will find Principles and Practices in Augmentative and Alternative Communication to be effective, contemporary, and practical.