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  • © 2015

The Road to Universal Logic

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

Birkhäuser
  • 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
  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. Potentiality and Contradiction in Quantum Mechanics

    • Jonas R. Becker Arenhart, Décio Krause
    Pages 201-211
  7. Two, Many, and Differently Many

    • Diderik Batens
    Pages 213-242
  8. Logics and Their Galaxies

    • Hilan Bensusan, Alexandre Costa-Leite, Edelcio Gonçalves de Souza
    Pages 243-252
  9. Can Identity Be Relativized?

    • Otávio Bueno
    Pages 253-262
  10. Is Logic Universal or Hierarchical?

    • Ivor Grattan-Guinness
    Pages 307-318
  11. Topological Aspects of Matrix Abduction 1

    • Azriel Laufer, Dov M. Gabbay
    Pages 339-355
  12. Topological Aspects of Matrix Abduction 2

    • Mai Ben Adar Bessos, Dov M. Gabbay
    Pages 357-385
  13. Deciding Theoremhood in Fibred Logics Without Shared Connectives

    • Sérgio Marcelino, Carlos Caleiro, Pedro Baltazar
    Pages 387-406
  14. On Rules and Refereeing in Football

    • Amirouche Moktefi, Fabien Schang
    Pages 407-415

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

Buy it now

Buying options

eBook USD 39.99
Price excludes VAT (USA)
  • Available as EPUB and PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 54.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access