Advances in Proof-Theoretic Semantics

• Corporate Author: SpringerLink (Online service)
• Other Authors: Piecha, Thomas (Editor), Schroeder-Heister, Peter (Editor)
• Format: Electronic eBook
• Language: English
• Published: Cham : Springer International Publishing : Imprint: Springer, 2016.
• Edition: 1st ed. 2016.
• Series: Trends in Logic, Studia Logica Library, 43
• Subjects: Logic.; Mathematical logic.; Machine theory.; Mathematical Logic and Foundations.; Formal Languages and Automata Theory.
• Online Access: Link to Metadata

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 toprovide 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.

Physical Description

VI, 283 p. online resource.

ISBN

9783319226866

ISSN

2212-7313 ;

DOI

10.1007/978-3-319-22686-6

Access

Open Access