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The Road to Universal Logic

Festschrift for 50th Birthday of Jean-Yves Béziau Volume I

  • Book
  • © 2015

Overview

Editors:
  1. Arnold Koslow

    1. City University of New York, New York, USA

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  2. Arthur Buchsbaum

    1. Federal University of Santa Catarina, Florianópolis, Brazil

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    You can also search for this editor in PubMed   Google Scholar

  • State of the art source for cutting edge studies in the new interdisciplinary field of universal logic
  • Spans the timeline from the ancient world of Aristotle to Universal Logic
  • Combines contributions from well-known logicians, mathematicians, computer scientists and philosophers
  • Includes supplementary material: sn.pub/extras

Part of the book series: Studies in Universal Logic (SUL)

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Table of contents (25 chapters)

  1. Front Matter

    Pages I-XII
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  2. Ibn Sīnā’s Two-Partite Versus Nine-Partite Logicography

    • Musa Akrami
    Pages 1-12

  3. Homotopical Categories of Logics

    • Peter Arndt
    Pages 13-58

  4. Semi-implication: A Chapter in Universal Logic

    • Arnon Avron
    Pages 59-72

  5. A Formal Framework for Hypersequent Calculi and Their Fibring

    • Marcelo Esteban Coniglio, Martín Figallo
    Pages 73-93

  6. Investigating Knowledge and Opinion

    • John Corcoran, Idris Samawi Hamid
    Pages 95-126

  7. The Algebra of Opposition (and Universal Logic Interpretations)

    • Răzvan Diaconescu
    Pages 127-143

  8. Universal Logic as a Science of Patterns

    • Brian R. Gaines
    Pages 145-189

  9. Hexagonal Logic of the Field \(\mathbb{F}_{8}\) as a Boolean Logic with Three Involutive Modalities

    • René Guitart
    Pages 191-220

  10. The Move from One to Two Quantifiers

    • Wilfrid Hodges
    Pages 221-240

  11. On the Contrary: Disjunctive Syllogism and Pragmatic Strengthening

    • Laurence Horn
    Pages 241-265

  12. Aristotle on Language and Universal Proof

    • Jean-Louis Hudry
    Pages 267-281

  13. Béziau on And and Or

    • Lloyd Humberstone
    Pages 283-307

  14. Universal Logic or Logics in Resemblance Families

    • Dale Jacquette
    Pages 309-325

  15. Causality and Attribution in an Aristotelian Theory

    • Srećko Kovač
    Pages 327-340

  16. Using Each Other’s Words

    • Marcus Kracht
    Pages 341-349

  17. On Universality and Formality in 19th Century Symbolic Logic: The Case of Schröder’s “Absolute Algebra”

    • Javier Legris
    Pages 351-359

  18. Caramuel and the “Quantification of the Predicate”

    • Wolfgang Lenzen
    Pages 361-384

  19. Lossy Inference Rules and Their Bounds: A Brief Review

    • David Makinson, James Hawthorne
    Pages 385-407

  20. Nonsets

    • Daniel Parrochia
    Pages 409-421
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Keywords

About this book

This is the first volume of a collection of papers in honor of the fiftieth birthday of Jean-Yves Béziau. These 25 papers have been written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Arnon Avron, John Corcoran, Wilfrid Hodges, Laurence Horn, Lloyd Humbertsone, Dale Jacquette, David Makinson, Stephen Read, and Jan Woleński. It is a state-of-the-art source of cutting-edge studies in the new interdisciplinary field of universal logic. The papers touch upon a wide range of topics including combination of logic, non-classical logic, square and other geometrical figures of opposition, categorical logic, set theory, foundation of logic, philosophy and history of logic (Aristotle, Avicenna, Buridan, Schröder, MacColl).

This book offers new perspectives and challenges in the study of logic and will be of interest to all students and researchers interested the nature and future of logic.

Editors and Affiliations

  • City University of New York, New York, USA

    Arnold Koslow

  • Federal University of Santa Catarina, Florianópolis, Brazil

    Arthur Buchsbaum

Bibliographic Information

  • Book Title: The Road to Universal Logic

  • Book Subtitle: Festschrift for 50th Birthday of Jean-Yves Béziau Volume I

  • Editors: Arnold Koslow, Arthur Buchsbaum

  • Series Title: Studies in Universal Logic

  • DOI: https://doi.org/10.1007/978-3-319-10193-4

  • Publisher: Birkhäuser Cham

  • eBook Packages: Mathematics and Statistics, Mathematics and Statistics (R0)

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Softcover ISBN: 978-3-319-10192-7Published: 24 October 2014

  • eBook ISBN: 978-3-319-10193-4Published: 10 October 2014

  • Series ISSN: 2297-0282

  • Series E-ISSN: 2297-0290

  • Edition Number: 1

  • Number of Pages: XII, 520

  • Number of Illustrations: 51 b/w illustrations, 51 illustrations in colour

  • Topics: Mathematical Logic and Foundations, Logic, History of Mathematical Sciences

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