© 2016

J. Michael Dunn on Information Based Logics

  • Katalin Bimbó


  • Highlights contemporary developments in formal logic resulting

  • from the focus on information and its role in inferences

  • Presents a collection of papers addressing the central theme of

  • J. Michael Dunn's research over the past half century

  • Offers new research findings, overviews, and fresh presentations of earlier results brought together in a collection selected by experts in nonclassical logics


Part of the Outstanding Contributions to Logic book series (OCTR, volume 8)

Table of contents

  1. Front Matter
    Pages i-xliii
  2. Chris Mortensen
    Pages 45-51
  3. Larisa Maksimova
    Pages 81-91
  4. Alasdair Urquhart
    Pages 93-105
  5. Sebastian Sequoiah-Grayson
    Pages 133-146
  6. Ross T. Brady
    Pages 147-159
  7. Janusz Czelakowski
    Pages 247-278
  8. Robert Goldblatt, Matt Grice
    Pages 313-330
  9. Gerard Allwein, William L. Harrison
    Pages 331-362
  10. Johan van Benthem
    Pages 363-389
  11. Lawrence S. Moss
    Pages 391-415
  12. J. Michael Dunn
    Pages 417-434

About this book


This book celebrates and expands on J. Michael Dunn’s work on informational interpretations of logic. Dunn, in his Ph.D. thesis (1966), introduced a semantics for first-degree entailments utilizing the idea that a sentence can provide positive or negative information about a topic, possibly supplying both or neither. He later published a related interpretation of the logic R-mingle, which turned out to be one of the first relational semantics for a relevance logic. An incompatibility relation between information states lends itself to a definition of negation and it has figured into Dunn's comprehensive investigations into representations of various negations. The informational view of semantics is also a prominent theme in Dunn’s research on other logics, such as quantum logic and linear logic, and led to the encompassing theory of generalized Galois logics (or "gaggles"). Dunn’s latest work addresses informational interpretations of the ternary accessibility relation and the very nature of information.

 The book opens with Dunn’s autobiography, followed by a list of his publications. It then presents a series of papers written by respected logicians working on different aspects of information-based logics. The topics covered include the logic R-mingle, which was introduced by Dunn, and its applications in mathematical reasoning as well as its importance in obtaining results for other relevance logics. There are also interpretations of the accessibility relation in the semantics of relevance and other non-classical logics using different notions of information. It also presents a collection of papers that develop semantics for various logics, including certain modal and many-valued logics.

 The publication of this book is well timed, since we are living in an "information age.” Providing new technical findings, intellectual history and careful expositions of intriguing ideas, it appeals to a wide audience of scholars and researchers.


Gaggle theory Information in reasoning Relevance logics Many-valued logics Non-classical logics Set-theoretical semantics

Editors and affiliations

  • Katalin Bimbó
    • 1
  1. 1.Department of PhilosophyUniversity of AlbertaEdmontonCanada

About the editors

Professor Katalin Bimbó is a logician working in the field of non-classical logics. Her main research interests and findings are in the areas of relevance and combinatory logics. She is the author of three books and numerous journal articles. Professor Bimbó held academic positions in the USA, New Zealand and Australia before moving to Canada, where she works at the University of Alberta, in Edmonton.

Bibliographic information