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The Road to Universal Logic

Festschrift for the 50th Birthday of Jean-Yves Béziau Volume II

  • Book
  • © 2015

Overview

Editors:
  1. Arnold Koslow

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

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    You can also search for this editor in PubMed   Google Scholar

  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

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

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Table of contents (27 chapters)

  1. Front Matter

    Pages i-xv
    Download chapter PDF

  2. Personal Recollections About JYB by Newton da Costa and Others

    • Katarzyna Gan-Krzywoszyńska
    Pages 1-18

  3. Logical Autobiography 50

    • Jean-Yves Béziau
    Pages 19-104

  4. A Quantitative-Informational Approach to Logical Consequence

    • Marcos Antonio Alves, Itala M. Loffredo D’Ottaviano
    Pages 105-124

  5. Finite-Variable Logics Do Not Have Weak Beth Definability Property

    • Hajnal Andréka, István Németi
    Pages 125-133

  6. Peirce’s Role in the History of Logic: Lingua Universalis and Calculus Ratiocinator

    • Irving H. Anellis
    Pages 135-169

  7. The Meaning(s) of “Is”: Normative vs. Naturalistic Views of Language

    • Ignacio Angelelli
    Pages 171-179

  8. The Relation Between Logic, Set Theory and Topos Theory as it Is Used by Alain Badiou

    • Régis Angot-Pellissier
    Pages 181-200

  9. Potentiality and Contradiction in Quantum Mechanics

    • Jonas R. Becker Arenhart, Décio Krause
    Pages 201-211

  10. Two, Many, and Differently Many

    • Diderik Batens
    Pages 213-242

  11. Logics and Their Galaxies

    • Hilan Bensusan, Alexandre Costa-Leite, Edelcio Gonçalves de Souza
    Pages 243-252

  12. Can Identity Be Relativized?

    • Otávio Bueno
    Pages 253-262

  13. From (Paraconsistent) Topos Logic to Universal (Topos) Logic

    • Luis Estrada-González
    Pages 263-295

  14. A Note on the Internal Logic of Constructive Mathematics: The Gel’fond-Schneider Theorem in Transcendental Number Theory

    • Yvon Gauthier
    Pages 297-306

  15. Is Logic Universal or Hierarchical?

    • Ivor Grattan-Guinness
    Pages 307-318

  16. The English Tenses, Blanché and the Logical Kite

    • Dany Jaspers
    Pages 319-337

  17. Topological Aspects of Matrix Abduction 1

    • Azriel Laufer, Dov M. Gabbay
    Pages 339-355

  18. Topological Aspects of Matrix Abduction 2

    • Mai Ben Adar Bessos, Dov M. Gabbay
    Pages 357-385

  19. Deciding Theoremhood in Fibred Logics Without Shared Connectives

    • Sérgio Marcelino, Carlos Caleiro, Pedro Baltazar
    Pages 387-406

  20. On Rules and Refereeing in Football

    • Amirouche Moktefi, Fabien Schang
    Pages 407-415
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Keywords

About this book

This second volume of a collection of papers offers new perspectives and challenges in the study of logic. It is presented in honor of the fiftieth birthday of Jean-Yves Béziau. The papers touch upon a wide range of topics including paraconsistent logic, quantum logic, geometry of oppositions, categorical logic, computational logic, fundamental logic notions (identity, rule, quantification) and history of logic (Leibniz, Peirce, Hilbert).

The volume gathers personal recollections about Jean-Yves Béziau and an autobiography, followed by 25 papers written by internationally distinguished logicians, mathematicians, computer scientists, linguists and philosophers, including Irving Anellis, Dov Gabbay, Ivor Grattan-Guinness, Istvan Németi, Henri Prade.

These essays will be of interest to all students and researchers interested in 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 the 50th Birthday of Jean-Yves Béziau Volume II

  • Editors: Arnold Koslow, Arthur Buchsbaum

  • Series Title: Studies in Universal Logic

  • DOI: https://doi.org/10.1007/978-3-319-15368-1

  • Publisher: Birkhäuser Cham

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

  • Copyright Information: Springer International Publishing Switzerland 2015

  • Softcover ISBN: 978-3-319-15367-4Published: 09 June 2015

  • eBook ISBN: 978-3-319-15368-1Published: 10 June 2015

  • Series ISSN: 2297-0282

  • Series E-ISSN: 2297-0290

  • Edition Number: 1

  • Number of Pages: XV, 604

  • Number of Illustrations: 70 b/w illustrations, 180 illustrations in colour

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

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