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Advances in Proof-Theoretic Semantics

Editors: Piecha, Thomas, Schroeder-Heister, Peter (Eds.)

  • Open Access: this content is freely downloadable as an eBook! 
  • ​Demonstrates the state of the art in proof-theoretic semantics
  • Discusses topics including semantics as a methodological question and general proof theory
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  • ISBN 978-3-319-22686-6
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  • ISBN 978-3-319-22685-9
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About this book

This volume is the first ever collection devoted to the field of proof-theoretic semantics. Contributions address topics including the systematics of introduction and elimination rules and proofs of normalization, the categorial characterization of deductions, the relation between Heyting's and Gentzen's approaches to meaning, knowability paradoxes, proof-theoretic foundations of set theory, Dummett's justification of logical laws, Kreisel's theory of constructions, paradoxical reasoning, and the defence of model theory.

The field of proof-theoretic semantics has existed for almost 50 years, but the term itself was proposed by Schroeder-Heister in the 1980s. Proof-theoretic semantics explains the meaning of linguistic expressions in general and of logical constants in particular in terms of the notion of proof. This volume emerges from presentations at the Second International Conference on Proof-Theoretic Semantics in Tübingen in 2013, where contributing authors were asked to provide a self-contained description and analysis of a significant research question in this area. The contributions are representative of the field and should be of interest to logicians, philosophers, and mathematicians alike.

About the authors

Thomas Piecha graduated both in Philosophy and in Physics,and holds a Ph.D. in Computer Science. He has published on proof-theoretic and dialogical approaches in logic, and currently works on the proof-theoretic analysis of hypothetical reasoning.

Peter Schroeder-Heister is professor of logic and philosophy of language at the University of Tübingen, holding a joint appointment in the Departments of Philosophy and of Computer Science. He works in particular on philosophical aspects of proof theory and is a leading expert in the area of proof-theoretic semantics.

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Table of contents (16 chapters)

  • Advances in Proof-Theoretic Semantics: Introduction

    Piecha, Thomas (et al.)

    Pages 1-4

  • On the Relation Between Heyting’s and Gentzen’s Approaches to Meaning

    Prawitz, Dag

    Pages 5-25

  • Kreisel’s Theory of Constructions, the Kreisel-Goodman Paradox, and the Second Clause

    Dean, Walter (et al.)

    Pages 27-63

  • On the Paths of Categories

    Došen, Kosta

    Pages 65-77

  • Some Remarks on Proof-Theoretic Semantics

    Dyckhoff, Roy

    Pages 79-93

Buy this book

eBook  
  • ISBN 978-3-319-22686-6
  • This book is an open access book, you can download it for free on link.springer.com
Hardcover 51,99 €
price for Spain (gross)
  • ISBN 978-3-319-22685-9
  • 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
Advances in Proof-Theoretic Semantics
Editors
  • Thomas Piecha
  • Peter Schroeder-Heister
Series Title
Trends in Logic
Series Volume
43
Copyright
2016
Publisher
Springer International Publishing
Copyright Holder
The Editor(s) (if applicable) and the Author(s)
eBook ISBN
978-3-319-22686-6
DOI
10.1007/978-3-319-22686-6
Hardcover ISBN
978-3-319-22685-9
Series ISSN
1572-6126
Edition Number
1
Number of Pages
VI, 283
Topics