Logica Universalis

Towards a General Theory of Logic

Editors: Beziau, Jean-Yves (Ed.)

  • Second, revised edition of the first collection of articles around the topic of universal logic
  • Starting point of interdisciplinary research in the fields of, e.g., logic, linguistic, philosophy, mathematics, computer science
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eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-7643-8354-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-7643-8353-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
About this book

"I find this book extremely useful and important, because it signifies the arrival of a new renaissance in logic, a new revival not only of logic, but of the vision of logic as a unifying tool for science as a whole, including mathematics, physics, cosmology, computer science and AI. The book and the vision behind it give logic, conceived as a scientific study of rationality, new unifying power, new perspectives, and new horizons."

Istvan Németi, Hungarian Academy of Sciences

"Modern logic has been intimately connected with algebra since its origins in figures such as Boole, De Morgan, and Peirce. But while universal algebra is a long recognized field, universal logic has only recently been named as such. This is perhaps because classical logic was until relatively recently taken by many as the "one true logic". But with the proliferation of special purpose non-classical logics in recent years, universal logic is clearly a field whose time has come. This book contains many excellent papers demonstrating the value of this approach."

J. Michael Dunn, Indiana University

"Modern logic is exploding into manifold applications, and its core research agenda is expanding accordingly. Thus, it becomes of great importance to reflect and rethink the notion of a logical system, which has served us so well for a century now. This book contains timely, broad, and unifying reflections on logical systems and logical consequence, and helps us think where our discipline is going."

Johan van Benthem, University of Amsterdam & Stanford University

Reviews

"I find this book extremely useful and important, because it signifies the arrival of a new renaissance in logic, a new revival not only of logic, but of the vision of logic as a unifying tool for science as a whole, including mathematics, physics, cosmology, computer science and AI. The book and the vision behind it give logic, conceived as a scientific study of rationality, new unifying power, new perspectives, and new horizons."

István Németi, Hungarian Academy of Sciences

"Modern logic has been intimately connected with algebra since its origins in figures such as Boole, De Morgan, and Peirce. But while universal algebra is a long recognized field, universal logic has only recently been named as such. This is perhaps because classical logic was until relatively recently taken by many as the "one true logic". But with the proliferation of special purpose non-classical logics in recent years, universal logic is clearly a field whose time has come. This book contains many excellent papers demonstrating the value of this approach."

J. Michael Dunn, Indiana University

"Modern logic is exploding into manifold applications, and its core research agenda is expanding accordingly. Thus, it becomes of great importance to reflect and rethink the notion of a logical system, which has served us so well for a century now. This book contains timely, broad, and unifying reflections on logical systems and logical consequence, and helps us think where our discipline is going."

Johan van Benthem, University of Amsterdam & Stanford University


Table of contents (12 chapters)

  • From Consequence Operator to Universal Logic: A Survey of General Abstract Logic

    Beziau, Jean-Yves

    Pages 3-17

    Preview Buy Chapter 30,19 €
  • Abstract Model Theory as a Framework for Universal Logic

    García-Matos, Marta (et al.)

    Pages 19-33

  • A Topological Approach to Universal Logic: Model-Theoretical Abstract Logics

    Lewitzka, Steffen

    Pages 35-61

  • Selfextensional Logics with Implication

    Jansana, Ramon

    Pages 63-86

  • Logic without Self-Deductibility

    Ageron, Pierre

    Pages 87-93

Buy this book

eBook 59,49 €
price for Spain (gross)
  • ISBN 978-3-7643-8354-1
  • Digitally watermarked, DRM-free
  • Included format: PDF
  • ebooks can be used on all reading devices
  • Immediate eBook download after purchase
Softcover 72,79 €
price for Spain (gross)
  • ISBN 978-3-7643-8353-4
  • Free shipping for individuals worldwide
  • Usually dispatched within 3 to 5 business days.
  • The final prices may differ from the prices shown due to specifics of VAT rules
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Bibliographic Information

Bibliographic Information
Book Title
Logica Universalis
Book Subtitle
Towards a General Theory of Logic
Editors
  • Jean-Yves Beziau
Copyright
2007
Publisher
Birkhäuser Basel
Copyright Holder
Birkhäuser Basel
eBook ISBN
978-3-7643-8354-1
DOI
10.1007/978-3-7643-8354-1
Softcover ISBN
978-3-7643-8353-4
Edition Number
2
Number of Pages
XII, 246
Topics