Advances in proof-theoretic semantics / Edited by Thomas Piecha & Peter Schroeder-Heister.

By:

(2nd : International Conference on Proof-Theoretic Semantics (2nd : 2013 : Tübingen, Germany)

Contributor(s):

Material type: Text

TextSeries: Trends in logic ; volume 43Publisher: Cham : Springer, [2016]Description: 1 online resourceContent type:

text

Media type:

computer

Carrier type:

online resource

ISBN:

9783319226859 (cased)

Subject(s):

DDC classification:

401.43 23

Online resources:

Click here to access online

Available additional physical forms:

Also published electronically.

Contents:

Advances in Proof-Theoretic Semantics: Introduction/ Thomas Piecha and Peter Schroeder-Heister -- On the Relation Between Heyting's and Gentzen's Approaches to Meaning/ Dag Prawitz -- Kreisel's Theory of Constructions, the Kreisel-Goodman Paradox, and the Second Clause/ Walter Dean and Hidenori Kurokawa -- On the Paths of Categories/ Kosta Došen -- Some Remarks on Proof-Theoretic Semantics/ Roy Dyckhoff -- Categorical Harmony and Paradoxes in Proof-Theoretic Semantics/ Yoshihiro Maruyama -- The Paradox of Knowability from an Intuitionistic Standpoint/ Gabriele Usberti -- Explicit Composition and Its Application in Proofs of Normalization/ Jan von Plato -- Towards a Proof-Theoretic Semantics of Equalities/ Reinhard Kahle -- On the Proof-Theoretic Foundations of Set Theory/ Lars Hallnäs -- A Strongly Differing Opinion on Proof-Theoretic Semantics? / Wilfrid Hodges -- Comments on an Opinion/ Kosta Došen -- On Dummett's "Proof-Theoretic Justifications of Logical Laws"/ Warren Goldfarb -- Self-contradictory Reasoning/ Jan Ekman -- Completeness in Proof-Theoretic Semantics/ Thomas Piecha -- Open Problems in Proof-Theoretic Semantics/ Peter Schroeder-Heister.

Summary: 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.

Tags from this library: No tags from this library for this title. Log in to add tags.

Average rating: 0.0 (0 votes)

Holdings
Item type	Current library	Call number	Status	Date due	Barcode
E-Resources	Main Library E-Resources	160 In61 (Browse shelf(Opens below))	Available		E002124

Formerly CIP. Uk

Includes bibliographical references.

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.

Advances in proof-theoretic semantics / Edited by Thomas Piecha & Peter Schroeder-Heister.

Branches :