New Essays on Belnap-­Dunn Logic

Author(s)

• Omori, Hitoshi
• Wansing, Heinrich

Bibliographic Information

New Essays on Belnap-­Dunn Logic

Hitoshi Omori, Heinrich Wansing, editors

（Synthese library, v. 418）

Springer, c2019

Note

Includes bibliographical references and index

Description and Table of Contents

Description

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 In addition, the collection also features a well-known but previously unpublished manuscript of Dunn, an interview with Belnap, and a new essay by Dunn.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.

Table of Contents

An invitation to New Essays on Belnap-Dunn logic Hitoshi Omori and Heinrich Wansing Part I. Essays by the Founders Natural Language versus Formal Language J. Michael Dunn Intuitive Semantics for First-Degree Entailment and 'Coupled Trees' J. Michael Dunn How a Computer Should Think Nuel D. Belnap A Useful Four-Valued Logic Nuel D. Belnap Two, Three, Four, Infinity: The Path to the Four-valued Logic and Beyond J. Michael Dunn Interview with Prof. Nuel D. Belnap Nuel D. Belnap and Heinrich Wansing Part II New Essays FDE as the One True Logic Jc Beall Default Rules in the Logic of First-Degree Entailments Katalin Bimbo Belnap and Nagarjuna on How Computers and Sentient Beings Should Think: Truth, Trust and the Catuskoti Jay L. Garfield K3, L3, LP, RM3, A3, FDE, M: How to Make Many-Valued LogicsWork for You Allen P. Hazen and Francis Jeffry Pelletier FDE as a Base for Constructive Logic Andreas Kapsner Bridging the Two Plans in the Semantics for Relevant Logic Takuro Onishi Bilattice Logics and Demi-Negation Francesco Paoli Consistency, Completeness, and Classicality Adam Prenosil Natural Deduction Systems for Logics in the FDE Family Graham Priest Modelling Sources of Inconsistent Information in Paraconsistent Modal Logic Igor Sedlar and Ondrej Majer First-Degree Entailment and Structural Reasoning Yaroslav Shramko

by "Nielsen BookData"

Details

• NCID: BB2972016X
• ISBN:
  • 9783030311353
• Country Code: sz
• Title Language Code: eng
• Text Language Code: eng
• Place of Publication: Cham
• Pages/Volumes: viii, 324 p.
• Size: 25 cm
• Parent Bibliography ID:
  • BA00017801