Verwandte Artikel zu Harmony and Paradox: Intensional Aspects of Proof-Theoretic...

Harmony and Paradox: Intensional Aspects of Proof-Theoretic Semantics (Trends in Logic, Band 62) - Softcover

Tranchini, Luca

 
9783031469237: Harmony and Paradox: Intensional Aspects of Proof-Theoretic Semantics (Trends in Logic, Band 62)
Softcover
ISBN 10: 3031469232 ISBN 13: 9783031469237
Verlag: Springer, 2025

Inhaltsangabe

This open access book investigates the role played by identity of proofs in proof-theoretic semantics. It develops a conception of proof-theoretic semantics as primarily concerned with the relationship between proofs (understood as abstract entities) and derivations (the linguistic representations of proofs). It demonstrates that identity of proof is a key both to clarify some ―still not wholly understood― notions at the core of proof-theoretic semantics, such as harmony; and to broaden the range of the phenomena which can be analyzed using the tools of this semantic paradigm, so as to include for instance paradoxes.

The volume covers topics such as the philosophical significance of different criteria of identity of proofs, and adequacy conditions for an intensional account of the notion of harmony. The author also examines the Prawitz-Tennant analysis of paradoxes by investigating on the one hand the prospectsof turning it into a theory of meaning for paradoxical languages, and on the other hand two distinct kinds of phenomena, first observed by Crabbe and Ekman, showing that the Tennant-Prawitz criterion for paradoxicality overgenerates. This volume is of interest to scholars in formal and philosophical logic.

Die Inhaltsangabe kann sich auf eine andere Ausgabe dieses Titels beziehen.

Über die Autorin bzw. den Autor

Luca Tranchini is post-doctoral researcher at the Logic and Language Theory group of the university of Tübingen. He works on philosophical, mathematical and computational aspects of proof theory, with a focus on proof-theoretic semantics. He has contributed to the correct understanding of the notion of harmony, to the analysis of paradoxes using proof-theoretic means, and to the study of the duality between proofs and refutations in constructivism.

Von der hinteren Coverseite

This open access book investigates the role played by identity of proofs in proof-theoretic semantics. It develops a conception of proof-theoretic semantics as primarily concerned with the relationship between proofs (understood as abstract entities) and derivations (the linguistic representations of proofs). It demonstrates that identity of proof is a key both to clarify some ―still not wholly understood― notions at the core of proof-theoretic semantics, such as harmony; and to broaden the range of the phenomena which can be analyzed using the tools of this semantic paradigm, so as to include for instance paradoxes.

The volume covers topics such as the philosophical significance of different criteria of identity of proofs, and adequacy conditions for an intensional account of the notion of harmony. The author also examines the Prawitz-Tennant analysis of paradoxes by investigating on the one hand the prospects of turning it into a theory of meaning for paradoxical languages, and on the other hand two distinct kinds of phenomena, first observed by Crabbe and Ekman, showing that the Tennant-Prawitz criterion for paradoxicality overgenerates. This volume is of interest to scholars in formal and philosophical logic.

„Über diesen Titel“ kann sich auf eine andere Ausgabe dieses Titels beziehen.

Verlag
Springer
Erscheinungsdatum
2025
Sprache
Englisch
ISBN 10 
3031469232
ISBN 13 
9783031469237
Einband
Taschenbuch
Anzahl der Seiten
200
Kontakt zum Hersteller
Springer Nature Customer Service Center GmbH
ProductSafety@springernature.com

Europaplatz 3
Heidelberg
69115
Deutschland