New Essays on Belnap-Dunn Logic

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Publisher : Springer Nature
ISBN 13 : 3030311368
Total Pages : 324 pages
Book Rating : 4.0/5 (33 download)

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Book Synopsis New Essays on Belnap-Dunn Logic by : Hitoshi Omori

Download or read book New Essays on Belnap-Dunn Logic written by Hitoshi Omori and published by Springer Nature. This book was released on 2020-01-01 with total page 324 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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 In addition, the collection also features a well-known but previously unpublished manuscript of Dunn, an interview with Belnap, and a new essay by Dunn.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.

Truth or Consequences

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Publisher : Springer Science & Business Media
ISBN 13 : 9400906811
Total Pages : 376 pages
Book Rating : 4.4/5 (9 download)

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Book Synopsis Truth or Consequences by : M. Dunn

Download or read book Truth or Consequences written by M. Dunn and published by Springer Science & Business Media. This book was released on 2012-12-06 with total page 376 pages. Available in PDF, EPUB and Kindle. Book excerpt: The essays in this collection are written by students, colleagues, and friends of Nuel Belnap to honor him on his sixtieth birthday. Our original plan was to include pieces from fonner students only, but we have deviated from this ever so slightly for a variety of personal and practical reasons. Belnap's research accomplishments are numerous and well known: He has founded (together with Alan Ross Anderson) a whole branch of logic known as "relevance logic." He has made contributions of fundamental importance to the logic of questions. His work in modal logic, fonnal pragmatics, and the theory of truth has been highly influential. And the list goes on. Belnap's accomplishments as a teacher are also distinguished and well known but, by virtue of the essential privacy of the teaching relationship, not so well understood. We would like to reflect a little on what makes him such an outstanding teacher.

Handbook of Abductive Cognition

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Publisher : Springer Nature
ISBN 13 : 3031101359
Total Pages : 1921 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Handbook of Abductive Cognition by : Lorenzo Magnani

Download or read book Handbook of Abductive Cognition written by Lorenzo Magnani and published by Springer Nature. This book was released on 2023-03-31 with total page 1921 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Handbook offers the first comprehensive reference guide to the interdisciplinary field of abductive cognition, providing readers with extensive information on the process of reasoning to hypotheses in humans, animals, and in computational machines. It highlights the role of abduction in both theory practice: in generating and testing hypotheses and explanatory functions for various purposes and as an educational device. It merges logical, cognitive, epistemological and philosophical perspectives with more practical needs relating to the application of abduction across various disciplines and practices, such as in diagnosis, creative reasoning, scientific discovery, diagrammatic and ignorance-based cognition, and adversarial strategies. It also discusses the inferential role of models in hypothetical reasoning, abduction and creativity, including the process of development, implementation and manipulation for different scientific and technological purposes. Written by a group of internationally renowned experts in philosophy, logic, general epistemology, mathematics, cognitive, and computer science, as well as life sciences, engineering, architecture, and economics, the Handbook of Abductive Cognition offers a unique reference guide for readers approaching the process of reasoning to hypotheses from different perspectives and for various theoretical and practical purposes. Numerous diagrams, schemes and other visual representations are included to promote a better understanding of the relevant concepts and to make concepts highly accessible to an audience of scholars and students with different scientific backgrounds.

Dynamic Logic. New Trends and Applications

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Publisher : Springer Nature
ISBN 13 : 3030658406
Total Pages : 304 pages
Book Rating : 4.0/5 (36 download)

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Book Synopsis Dynamic Logic. New Trends and Applications by : Manuel A. Martins

Download or read book Dynamic Logic. New Trends and Applications written by Manuel A. Martins and published by Springer Nature. This book was released on 2020-12-21 with total page 304 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the Third International Workshop on Dynamic Logic, DaLí 2019, held in Prague, Czech Republic in October 2020. Due to COVID-19 the workshop has been held online. The 17 full papers presented together with 6 short papers were carefully reviewed and selected from 31 submissions. The theoretical relevance and practical potential of dynamic logic is a topic of interest in a number of scientific venues, from wide-scope software engineering conferences to modal logic specific events. The DaLí 2020 workshop is exclusively dedicated to Dynamic logic and aims at filling this gap and creating a heterogeneous community of colleagues, from Academia to Industry, from Mathematics to Computer Science.

Logic, Language, Information, and Computation

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Publisher : Springer Nature
ISBN 13 : 3031397843
Total Pages : 420 pages
Book Rating : 4.0/5 (313 download)

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Book Synopsis Logic, Language, Information, and Computation by : Helle Hvid Hansen

Download or read book Logic, Language, Information, and Computation written by Helle Hvid Hansen and published by Springer Nature. This book was released on 2023-08-28 with total page 420 pages. Available in PDF, EPUB and Kindle. Book excerpt: Edited in collaboration with FoLLI, the Association of Logic, Language and Information this book constitutes the refereed proceedings of the of the 29th International Workshop on Logic, Language, Information, and Computation, WoLLIC 2023, held in Halifax, NS, Canada, during July 11–14, 2023. The 24 full papers (21 contributed, 3 invited) included in this book were carefully reviewed and selected from 46 submissions. The book also contains the abstracts for the 7 invited talks and 4 tutorials presented at WoLLIC 2023. The WoLLIC conference series aims at fostering interdisciplinary research in pure and applied logic.

Relevance Logic

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Publisher :
ISBN 13 : 1009227793
Total Pages : 86 pages
Book Rating : 4.0/5 (92 download)

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Book Synopsis Relevance Logic by : Shay Allen Logan

Download or read book Relevance Logic written by Shay Allen Logan and published by . This book was released on 2024-05-10 with total page 86 pages. Available in PDF, EPUB and Kindle. Book excerpt: Relevance logics are a misunderstood lot. Despite being the subject of intense study for nearly a century, they remain maligned as too complicated, too abstruse, or too silly to be worth learning much about. This Element aims to dispel these misunderstandings. By focusing on the weak relevant logic B, the discussion provides an entry point into a rich and diverse family of logics. Also, it contains the first-ever textbook treatment of quantification in relevance logics, as well as an overview of the cutting edge on variable sharing results and a guide to further topics in the field.

Artificial Intelligence Logic and Applications

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Publisher : Springer Nature
ISBN 13 : 9811975108
Total Pages : 297 pages
Book Rating : 4.8/5 (119 download)

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Book Synopsis Artificial Intelligence Logic and Applications by : Yixiang Chen

Download or read book Artificial Intelligence Logic and Applications written by Yixiang Chen and published by Springer Nature. This book was released on 2022-12-09 with total page 297 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes refereed proceedings of the 2nd International Conference on Artificial Intelligence Logic and Applications 2022 held in Shanghai, China from August 26–28, 2022. The 20 full papers presented in this volume were carefully reviewed and selected from a total of 27 submissions. The papers in the volume are organised according to the following topical headings: program logic; fuzzy logic; applications; author index.

Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs

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Publisher : Springer Nature
ISBN 13 : 3030714306
Total Pages : 591 pages
Book Rating : 4.0/5 (37 download)

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Book Synopsis Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs by : Ivo Düntsch

Download or read book Alasdair Urquhart on Nonclassical and Algebraic Logic and Complexity of Proofs written by Ivo Düntsch and published by Springer Nature. This book was released on 2021-09-24 with total page 591 pages. Available in PDF, EPUB and Kindle. Book excerpt: 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.

Logic and Information

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Publisher : Cambridge University Press
ISBN 13 : 100946678X
Total Pages : 96 pages
Book Rating : 4.0/5 (94 download)

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Book Synopsis Logic and Information by : Edwin Mares

Download or read book Logic and Information written by Edwin Mares and published by Cambridge University Press. This book was released on 2024-06-30 with total page 96 pages. Available in PDF, EPUB and Kindle. Book excerpt: This Element looks at two projects that relate logic and information: the project of using logic to integrate, manipulate and interpret information and the proect of using the notion of information to provide interpretations of logical systems. The Element defines 'information' in a manner that includes misinformation and disinformation and uses this general concept of information to provide an interpretation of various paraconsistent and relevant logics. It also integrates these logics into contemporary theories of informational updating, probability theory and (rather informally) some ideas from the theory of the complexity of proofs. The Element assumes some prior knowledge of modal logic and its possible world semantics, but all the other necessary background is provided.

Logical Methods

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Publisher : MIT Press
ISBN 13 : 0262372703
Total Pages : 285 pages
Book Rating : 4.2/5 (623 download)

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Book Synopsis Logical Methods by : Greg Restall

Download or read book Logical Methods written by Greg Restall and published by MIT Press. This book was released on 2023-01-03 with total page 285 pages. Available in PDF, EPUB and Kindle. Book excerpt: An accessible introduction to philosophical logic, suitable for undergraduate courses and above. Rigorous yet accessible, Logical Methods introduces logical tools used in philosophy—including proofs, models, modal logics, meta-theory, two-dimensional logics, and quantification—for philosophy students at the undergraduate level and above. The approach developed by Greg Restall and Shawn Standefer is distinct from other texts because it presents proof construction on equal footing with model building and emphasizes connections to other areas of philosophy as the tools are developed. Throughout, the material draws on a broad range of examples to show readers how to develop and master tools of proofs and models for propositional, modal, and predicate logic; to construct and analyze arguments and to find their structure; to build counterexamples; to understand the broad sweep of formal logic’s development in the twentieth and twenty-first centuries; and to grasp key concepts used again and again in philosophy. This text is essential to philosophy curricula, regardless of specialization, and will also find wide use in mathematics and computer science programs. Features: An accessible introduction to proof theory for readers with no background in logic Covers proofs, models, modal logics, meta-theory, two-dimensional logics, quantification, and many other topics Provides tools and techniques of particular interest to philosophers and philosophical logicians Features short summaries of key concepts and skills at the end of each chapter Offers chapter-by-chapter exercises in two categories: basic, designed to reinforce important ideas; and challenge, designed to push students’ understanding and developing skills in new directions

Handbook of Logical Thought in India

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Publisher : Springer Nature
ISBN 13 : 8132225775
Total Pages : 1339 pages
Book Rating : 4.1/5 (322 download)

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Book Synopsis Handbook of Logical Thought in India by : Sundar Sarukkai

Download or read book Handbook of Logical Thought in India written by Sundar Sarukkai and published by Springer Nature. This book was released on 2022-11-04 with total page 1339 pages. Available in PDF, EPUB and Kindle. Book excerpt: This collection of articles is unique in the way it approaches established material on the various logical traditions in India. Instead of classifying these traditions within Schools as is the usual approach, the material here is classified into sections based on themes ranging from Fundamentals of ancient logical traditions to logic in contemporary mathematics and computer science. This collection offers not only an introduction to the key themes in different logical traditions such as Nyaya, Buddhist and Jaina, it also highlights certain unique characteristics of these traditions as well as contribute new material in the relationship of logic to aesthetics, linguistics, Kashmir Saivism as well as the forgotten Tamil contribution to logic.

Automated Reasoning

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Publisher : Springer Nature
ISBN 13 : 3031107691
Total Pages : 756 pages
Book Rating : 4.0/5 (311 download)

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Book Synopsis Automated Reasoning by : Jasmin Blanchette

Download or read book Automated Reasoning written by Jasmin Blanchette and published by Springer Nature. This book was released on 2022 with total page 756 pages. Available in PDF, EPUB and Kindle. Book excerpt: This is an open access book. It is available open access under a Creative Commons Attribution 4.0 International License via link.springer.com.

The Fifth Corner of Four

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Publisher : Oxford University Press, USA
ISBN 13 : 0198758715
Total Pages : 195 pages
Book Rating : 4.1/5 (987 download)

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Book Synopsis The Fifth Corner of Four by : Graham Priest

Download or read book The Fifth Corner of Four written by Graham Priest and published by Oxford University Press, USA. This book was released on 2018 with total page 195 pages. Available in PDF, EPUB and Kindle. Book excerpt: Graham Priest presents an exploration of the development of Buddhist metaphysics, which is viewed through the lens of the catuṣkotị. In its earliest and simplest form, this is a logical/ metaphysical principle which says that every claim is true, false, both, or neither; but Priest shows how the principle itself evolves, assuming new forms, as the metaphysics develops, and how the resources of non-classical logic allow us to understand it.All matters are explained with the aim of accessibility to those with no knowledge of Buddhist philosophy or contemporary non-classical logic.

Logics in Artificial Intelligence

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Publisher : Springer Nature
ISBN 13 : 3031436199
Total Pages : 834 pages
Book Rating : 4.0/5 (314 download)

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Book Synopsis Logics in Artificial Intelligence by : Sarah Gaggl

Download or read book Logics in Artificial Intelligence written by Sarah Gaggl and published by Springer Nature. This book was released on 2023-10-25 with total page 834 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes proceedings of the 18th European Conference on Logics in Artificial Intelligence, JELIA 2023, held in Dresden, Germany, in September 2023. The 41 full papers and 11 short papers included in this volume were carefully reviewed and selected from 111 submissions. The accepted papers span a number of areas within Logics in AI, including: argumentation; belief revision; reasoning about actions, causality, and change; constraint satisfaction; description logics and ontological reasoning; non-classical logics; and logic programming (answer set programming).

New Essays on the Knowability Paradox

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Publisher : Oxford University Press
ISBN 13 : 0199285497
Total Pages : 386 pages
Book Rating : 4.1/5 (992 download)

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Book Synopsis New Essays on the Knowability Paradox by : Joe Salerno

Download or read book New Essays on the Knowability Paradox written by Joe Salerno and published by Oxford University Press. This book was released on 2009-06-04 with total page 386 pages. Available in PDF, EPUB and Kindle. Book excerpt: The knowability paradox suggests that wherever there is empirical ignorance there is also logically unknowable truth. This volume presents the original papers in which this notorious problem was first set out, nineteen new papers seeking to resolve it, and a helpful introduction. It will be the definitive resource for study of the paradox.

Automated Reasoning with Analytic Tableaux and Related Methods

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Publisher : Springer Nature
ISBN 13 : 3030860590
Total Pages : 476 pages
Book Rating : 4.0/5 (38 download)

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Book Synopsis Automated Reasoning with Analytic Tableaux and Related Methods by : Anupam Das

Download or read book Automated Reasoning with Analytic Tableaux and Related Methods written by Anupam Das and published by Springer Nature. This book was released on 2021-08-31 with total page 476 pages. Available in PDF, EPUB and Kindle. Book excerpt: This book constitutes the proceedings of the 30th International Conference on Automated Reasoning with Analytic Tableaux and Related Methods, TABLEAUX 2021, held in Birmingham, UK, in September 2021.The 23 full papers and 3 system descriptions included in the volume were carefully reviewed and selected from 46 submissions.They present research on all aspects of the mechanization of tableaux-based reasoning and related methods, including theoretical foundations, implementation techniques, systems development and applications. The papers are organized in the following topical sections: tableau calculi, sequent calculi, theorem proving, formalized proofs, non-wellfounded proofs, automated theorem provers, and intuitionistic modal logics.

Divine Contradiction

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Publisher : Oxford University Press
ISBN 13 : 0192660098
Total Pages : 175 pages
Book Rating : 4.1/5 (926 download)

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Book Synopsis Divine Contradiction by : Jc Beall

Download or read book Divine Contradiction written by Jc Beall and published by Oxford University Press. This book was released on 2023-04-15 with total page 175 pages. Available in PDF, EPUB and Kindle. Book excerpt: Building on his paradigm-shifting work on the incarnation in The Contradictory Christ (OUP, 2021), Jc Beall extends a robust contradictory theology with an account of the trinity. Throughout the history of the Christian church, heretics, apophatics, mystics, atheists, and many others have long proclaimed that the doctrine of the trinity - one of the central doctrines of the Christian faith - is contradictory. In this work, Beall agrees; however, as Beall convincingly argues, one needn't abandon orthodoxy, play language games, inflate one's metaphysics, nor abandon the standard faith in the face of such divine contradiction. Instead, one can accept central axioms of the trinity at face value and, with a suitable account of logical entailment, accept the 'contradictory truths' thereby entailed. With the clarity and precision that only a logician could provide, Beall provided theology and the Christian church in general with a very simple and viable (and arguably correct) model of divine reality. Unlike the vast number of theologians and philosophers before him, Beall rejects the quest for a logically consistent account of divine reality. The triune god (viz., God) is truly and fully described only via contradiction. As such, attempts to remove the contradiction are attempts to remove truths of God.