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  • © 2006

The Age of Alternative Logics

Assessing Philosophy of Logic and Mathematics Today

  • Testifies to the liveliness of modern perspectives on the philosophy of logic and mathematics
  • Shows new trends and possible developments for research
  • Transforms rigid classical partitions into a more open playground for improvisation

Part of the book series: Logic, Epistemology, and the Unity of Science (LEUS, volume 3)

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Table of contents (21 chapters)

  1. Front Matter

    Pages i-viii
  2. Proof, Knowledge and Computation

    1. Front Matter

      Pages 10-10
    2. Semantics as Based on Inference

      • Jaroslav Peregrin
      Pages 25-36
    3. Effectiveness

      • Stewart Shapiro
      Pages 37-49
    4. Transpositions

      • Henk Visser
      Pages 75-86
  3. Truth Values Beyond Bivalence

    1. Front Matter

      Pages 88-88
    2. Many-Valued and Kripke Semantics

      • Jean-Yves BĂ©ziau
      Pages 89-101
    3. The Logic of Complementarity

      • Newton C. A. da Costa, DĂ©cio Krause
      Pages 103-120
  4. Category-Theoretic Structures

    1. Front Matter

      Pages 138-138
    2. What is Categorical Structuralism?

      • Geoffrey Hellman
      Pages 151-161
  5. Independence, Evaluation Games and Imperfect Information

    1. Front Matter

      Pages 194-194
    2. Truth, Negation and Other Basic Notions of Logic

      • Jaakko Hintikka
      Pages 195-219
    3. Signalling in IF Games: A Tricky Business

      • Theo M. V. Janssen, Francien Dechesne
      Pages 221-241

About this book

In the last century developments in mathematics, philosophy, physics, computer science, economics and linguistics have proven important for the development of logic. There has been an influx of new ideas, concerns, and logical systems reflecting a great variety of reasoning tasks in the sciences. This volume reflects the multi-dimensional nature of the interplay between logic and science. It presents contributions from the world's leading scholars under the following headings:

- Proof, Knowledge and Computation

- Truth Values beyond Bivalence

- Category-Theoretic Structures

- Independence, Evaluation Games, and Imperfect Information

- Dialogue and Pragmatics.

The contents exemplify the liveliness of modern perspectives on the philosophy of logic and mathematics and demonstrate the growth of the discipline. It describes new trends, possible developments for research and new issues not normally raised in the standard agenda of the philosophy of logic and mathematics. It transforms rigid classical partitions into a more open field for improvisation.

Editors and Affiliations

  • ILLC, University of Amsterdam, The Netherlands

    Johan Benthem, Henk Visser

  • Archives Henri PoincarĂ©, Nancy University, France

    Gerhard Heinzmann, Manuel Rebuschi

Bibliographic Information

Buy it now

Buying options

eBook USD 139.00
Price excludes VAT (USA)
  • Available as PDF
  • Read on any device
  • Instant download
  • Own it forever
Softcover Book USD 179.99
Price excludes VAT (USA)
  • Compact, lightweight edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info
Hardcover Book USD 169.99
Price excludes VAT (USA)
  • Durable hardcover edition
  • Dispatched in 3 to 5 business days
  • Free shipping worldwide - see info

Tax calculation will be finalised at checkout

Other ways to access