Essays On Non Classical Logic

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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 : 52,9 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."

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 : 49,9 Mb
Release : 2001
Category : Mathematics
ISBN : 9789810247355

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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.

Essays in Logic and Ontology

Anonim
Essays in Logic and Ontology Book PDF

Author : Anonim
Publisher : BRILL
Page : 428 pages
File Size : 43,8 Mb
Release : 2016-08-29
Category : Philosophy
ISBN : 9789004332966

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Essays in Logic and Ontology by Anonim Pdf

The aim of this book is to present essays centered upon the subjects of Formal Ontology and Logical Philosophy. The idea of investigating philosophical problems by means of logical methods was intensively promoted in Torun by the Department of Logic of Nicolaus Copernicus University during last decade. Another aim of this book is to present to the philosophical and logical audience the activities of the Torunian Department of Logic during this decade. The papers in this volume contain the results concerning Logic and Logical Philosophy, obtained within the confines of the projects initiated by the Department of Logic and other research projects in which the Torunian Department of Logic took part.

Classical and Nonclassical Logics

Eric Schechter
Classical and Nonclassical Logics Book PDF

Author : Eric Schechter
Publisher : Princeton University Press
Page : 530 pages
File Size : 49,6 Mb
Release : 2005-08-28
Category : Mathematics
ISBN : 0691122792

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Classical and Nonclassical Logics by Eric Schechter Pdf

Classical logic is traditionally introduced by itself, but that makes it seem arbitrary and unnatural. This text introduces classical alongside several nonclassical logics (relevant, constructive, quantative, paraconsistent).

New Essays on Belnap-Dunn Logic

Hitoshi Omori,Heinrich Wansing
New Essays on Belnap Dunn Logic Book PDF

Author : Hitoshi Omori,Heinrich Wansing
Publisher : Springer Nature
Page : 324 pages
File Size : 47,7 Mb
Release : 2020-01-01
Category : Philosophy
ISBN : 9783030311360

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New Essays on Belnap-Dunn Logic by Hitoshi Omori,Heinrich Wansing Pdf

This edited volume collects essays on the four-valued logic known as Belnap-Dunn logic, or first-degree entailment logic (FDE). It also looks at various formal systems closely related to it. These include the strong Kleene logic and the Logic of Paradox. Inside, readers will find reprints of seminal papers written by the fathers of the field: Nuel Belnap and Michael Dunn. In addition, the collection also features a well-known but previously unpublished manuscript of Dunn, an interview with Belnap, and a new essay by Dunn. Besides the original, monumental papers, the book also includes research by leading scholars. They consider the extraordinary importance of Belnap-Dunn logic from several perspectives. They look at how, philosophically, it has served as a basic system of inconsistency-tolerant reasoning, as the core of underlying logics for theories based on dialetheism, and, more recently, for theories based on Buddhist philosophy. Coverage also explores its contributions to computer science, such as knowledge representation and information processing. This mix of seminal papers and insightful analysis by top scholars offers readers a comprehensive outlook on Belnap-Dunn logic and its related expansions, which have been agenda setting for the debate on philosophical logic as well as philosophy of logic. The book will also enhance further discussion on the philosophical issues related to nonclassical logics in general.

Free Logic

Karel Lambert
Free Logic Book PDF

Author : Karel Lambert
Publisher : Cambridge University Press
Page : 207 pages
File Size : 54,8 Mb
Release : 2002-10-31
Category : Science
ISBN : 9781139436465

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Free Logic by Karel Lambert Pdf

Free logic is an important field of philosophical logic that first appeared in the 1950s. J. Karel Lambert was one of its founders and coined the term itself. The essays in this collection (written over a period of 40 years) explore the philosophical foundations of free logic and its application to areas as diverse as the philosophy of religion and computer science. Amongst the applications on offer are those to the analysis of existence statements, to definite descriptions and to partial functions. The volume contains a proof that free logics of any kind are non-extensional and then uses that proof to show that Quine's theory of predication and referential transparency must fail. The purpose of this collection is to bring an important body of work to the attention of a new generation of professional philosophers, computer scientists and mathematicians.

Essay on the Principles of Logic

Michael Wolff
Essay on the Principles of Logic Book PDF

Author : Michael Wolff
Publisher : Walter de Gruyter GmbH & Co KG
Page : 438 pages
File Size : 48,7 Mb
Release : 2023-05-22
Category : Philosophy
ISBN : 9783110785104

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Essay on the Principles of Logic by Michael Wolff Pdf

Wolff's book defends the Kantian idea of a "general logic" whose principles underlie special systems of deductive logic. It thus undermines "logical pluralism," which tolerates the co-existence of divergent systems of modern logic without asking for consistent common principles. Part I of Wolff’s book identifies the formal language in which the most general principles of logic must be expressed. This language turns out to be a version of syllogistic language already used by Aristotle. The universal validity of logical principles, as well as the translatability of other logical languages into this language, are shown to depend only on the meanings of its logical vocabulary. Part II of the book answers the metalogical question concerning the deductive relation between general logic and special logical systems, which also have their own (less general) principles. This part identifies the rules according to which logical rules can be derived from principles. The main result of the book is that the highest principles of logic and metalogics are provided by the syllogistic, when properly understood.

Automated Deduction in Classical and Non-Classical Logics

Ricardo Caferra,Gernot Salzer
Automated Deduction in Classical and Non Classical Logics Book PDF

Author : Ricardo Caferra,Gernot Salzer
Publisher : Springer
Page : 304 pages
File Size : 47,8 Mb
Release : 2003-07-31
Category : Computers
ISBN : 9783540465089

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Automated Deduction in Classical and Non-Classical Logics by Ricardo Caferra,Gernot Salzer Pdf

This volume presents a collection of thoroughly reviewed revised full papers on automated deduction in classical, modal, and many-valued logics, with an emphasis on first-order theories. Five invited papers by prominent researchers give a consolidated view of the recent developments in first-order theorem proving. The 14 research papers presented went through a twofold selection process and were first presented at the International Workshop on First-Order Theorem Proving, FTP'98, held in Vienna, Austria, in November 1998. The contributed papers reflect the current status in research in the area; most of the results presented rely on resolution or tableaux methods, with a few exceptions choosing the equational paradigm.

An Introduction to Non-Classical Logic

Graham Priest
An Introduction to Non Classical Logic Book PDF

Author : Graham Priest
Publisher : Cambridge University Press
Page : 128 pages
File Size : 44,7 Mb
Release : 2008-04-10
Category : Science
ISBN : 1139469673

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An Introduction to Non-Classical Logic by Graham Priest Pdf

This revised and considerably expanded 2nd edition brings together a wide range of topics, including modal, tense, conditional, intuitionist, many-valued, paraconsistent, relevant, and fuzzy logics. Part 1, on propositional logic, is the old Introduction, but contains much new material. Part 2 is entirely new, and covers quantification and identity for all the logics in Part 1. The material is unified by the underlying theme of world semantics. All of the topics are explained clearly using devices such as tableau proofs, and their relation to current philosophical issues and debates are discussed. Students with a basic understanding of classical logic will find this book an invaluable introduction to an area that has become of central importance in both logic and philosophy. It will also interest people working in mathematics and computer science who wish to know about the area.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

Ivo Düntsch,Edwin Mares
Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs Book PDF

Author : Ivo Düntsch,Edwin Mares
Publisher : Springer Nature
Page : 591 pages
File Size : 41,9 Mb
Release : 2021-09-24
Category : Philosophy
ISBN : 9783030714307

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Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs by Ivo Düntsch,Edwin Mares Pdf

This book is dedicated to the work of Alasdair Urquhart. The book starts out with an introduction to and an overview of Urquhart’s work, and an autobiographical essay by Urquhart. This introductory section is followed by papers on algebraic logic and lattice theory, papers on the complexity of proofs, and papers on philosophical logic and history of logic. The final section of the book contains a response to the papers by Urquhart. Alasdair Urquhart has made extremely important contributions to a variety of fields in logic. He produced some of the earliest work on the semantics of relevant logic. He provided the undecidability of the logics R (of relevant implication) and E (of relevant entailment), as well as some of their close neighbors. He proved that interpolation fails in some of those systems. Urquhart has done very important work in complexity theory, both about the complexity of proofs in classical and some nonclassical logics. In pure algebra, he has produced a representation theorem for lattices and some rather beautiful duality theorems. In addition, he has done important work in the history of logic, especially on Bertrand Russell, including editing Volume four of Russell’s Collected Papers.

The Law of Non-Contradiction

Graham Priest,JC Beall,Bradley Armour-Garb
The Law of Non Contradiction Book PDF

Author : Graham Priest,JC Beall,Bradley Armour-Garb
Publisher : Clarendon Press
Page : 456 pages
File Size : 54,9 Mb
Release : 2006-11-30
Category : Philosophy
ISBN : 9780191548062

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The Law of Non-Contradiction by Graham Priest,JC Beall,Bradley Armour-Garb Pdf

The Law of Non-Contradiction-that no contradiction can be true-has been a seemingly unassailable dogma since the work of Aristotle, in Book Gamma of the Metaphysics. It is an assumption challenged from a variety of angles in this collection of original papers. Twenty-three of the world's leading experts investigate the 'law', considering arguments for and against it and discussing methodological issues that arise whenever we question the legitimacy of logical principles. The result is a balanced inquiry into a venerable principle of logic, one that raises questions at the very centre of logic itself. The aim of this volume is to present a comprehensive debate about the Law of Non-Contradiction, from discussions as to how the law is to be understood, to reasons for accepting or re-thinking the law, and to issues that raise challenges to the law, such as the Liar Paradox, and a 'dialetheic' resolution of that paradox. One of the editors contributes an introduction which surveys the issues and serves to frame the debate. This collection will be of interest to anyone working on philosophical logic, and to anyone who has ever wondered about the status of logical laws and about how one might proceed to mount arguments for or against them.

Deviant Logic, Fuzzy Logic

Susan Haack
Deviant Logic Fuzzy Logic Book PDF

Author : Susan Haack
Publisher : University of Chicago Press
Page : 324 pages
File Size : 47,5 Mb
Release : 1996-12-15
Category : Philosophy
ISBN : 0226311333

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Deviant Logic, Fuzzy Logic by Susan Haack Pdf

Initially proposed as rivals of classical logic, alternative logics have become increasingly important in areas such as computer science and artificial intelligence. Fuzzy logic, in particular, has motivated major technological developments in recent years. Susan Haack's Deviant Logic provided the first extended examination of the philosophical consequences of alternative logics. In this new volume, Haack includes the complete text of Deviant Logic, as well as five additional papers that expand and update it. Two of these essays critique fuzzy logic, while three augment Deviant Logic's treatment of deduction and logical truth. Haack also provides an extensive new foreword, brief introductions to the new essays, and an updated bibliography of recent work in these areas. Deviant Logic, Fuzzy Logic will be indispensable to students of philosophy, philosophy of science, linguistics, mathematics, and computer science, and will also prove invaluable to experienced scholars working in these fields.

Structural Analysis of Non-Classical Logics

Syraya Chin-Mu Yang,Duen-Min Deng,Hanti Lin
Structural Analysis of Non Classical Logics Book PDF

Author : Syraya Chin-Mu Yang,Duen-Min Deng,Hanti Lin
Publisher : Springer
Page : 278 pages
File Size : 43,7 Mb
Release : 2015-10-16
Category : Philosophy
ISBN : 9783662483572

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Structural Analysis of Non-Classical Logics by Syraya Chin-Mu Yang,Duen-Min Deng,Hanti Lin Pdf

This volume brings together a group of logic-minded philosophers and philosophically oriented logicians to address a diversity of topics on the structural analysis of non-classical logics. It mainly focuses on the construction of different types of models for various non-classical logics of current interest, including modal logics, epistemic logics, dynamic logics, and observational predicate logic. The book presents a wide range of applications of two well-known approaches in current research: (i) structural modeling of certain philosophical issues in the framework of non-classic logics, such as admissible models for modal logic, structural models for modal epistemology and for counterfactuals, and epistemological models for common knowledge and for public announcements; (ii) conceptual analysis of logical properties of, and formal semantics for, non-classical logics, such as sub-formula property, truthmaking, epistemic modality, behavioral strategies, speech acts and assertions. The structural analysis provided in this volume will appeal not only to graduate students and experts in non-classic logics, but also to readers from a wide range of disciplines, including computer science, cognitive science, linguistics, game theory and theory of action, to mention a few.

Essays on Philosophy in Australia

Jan J.T. Srzednicki,D. Wood
Essays on Philosophy in Australia Book PDF

Author : Jan J.T. Srzednicki,D. Wood
Publisher : Springer Science & Business Media
Page : 336 pages
File Size : 53,8 Mb
Release : 2013-03-09
Category : History
ISBN : 9789401580069

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Essays on Philosophy in Australia by Jan J.T. Srzednicki,D. Wood Pdf

Philosophy flourished in Australia after the war. There was spectacular growth in both the number of departments and the number of philosophers. On top of this philosophy spread beyond the philosophy departments. Serious studies, and interest in philosophy is now common in faculties as diverse as law, science and education. Neither is this development merely quantitative, the Australian researcher has come of age and contributes widely to international debates. At least one movement originated in Australia. This makes the study of philosophy in Australia timely, evidenced by the number of articles concerned with this area that begin to appear in international journals. In Australia itself there is growing interest in the history of the country's philosophical development. There are discussions in conferences and meetings: the matter is now the subject of courses.

Algebraic and Proof-theoretic Aspects of Non-classical Logics

S. Aguzzoli,A. Ciabattoni,B. Gerla,C. Manara,V. Marra
Algebraic and Proof theoretic Aspects of Non classical Logics Book PDF

Author : S. Aguzzoli,A. Ciabattoni,B. Gerla,C. Manara,V. Marra
Publisher : Springer
Page : 317 pages
File Size : 45,9 Mb
Release : 2007-10-28
Category : Computers
ISBN : 9783540759393

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Algebraic and Proof-theoretic Aspects of Non-classical Logics by S. Aguzzoli,A. Ciabattoni,B. Gerla,C. Manara,V. Marra Pdf

Published in honor of Daniele Mundici on the occasion of his 60th birthday, the 17 revised papers of this Festschrift volume include invited extended versions of the most interesting contributions to the International Conference on the Algebraic and Logical Foundations of Many-Valued Reasoning, held in Gargnano, Italy, in March 2006. Edited in collaboration with FoLLI, the Association of Logic, Language and Information, it is the third volume of the FoLLI LNAI subline.