Intensional Harmony as Isomorphism

In Thomas Piecha & Kai F. Wehmeier, Peter Schroeder-Heister on Proof-Theoretic Semantics. Cham: Springer Nature Switzerland. pp. 315-337 (2024)
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Abstract

In the present paper we discuss a recent suggestion of Schroeder-Heister concerning the possibility of defining an intensional notion of harmony using isomorphism in second-order propositional logic. The latter is not an absolute notion, but its definition is relative to the choice of criteria for identity of proofs. In the paper, it is argued that in order to attain a satisfactory account of harmony, one has to consider a notion of identity stronger than the usual one (based on β- and η-conversions) that the authors have investigated in recent work.

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Luca Tranchini
Universität Tübingen

Citations of this work

Proof-Theoretic Semantics: An Autobiographical Survey.Peter Schroeder-Heister - 2024 - In Thomas Piecha & Kai F. Wehmeier, Peter Schroeder-Heister on Proof-Theoretic Semantics. Cham: Springer Nature Switzerland. pp. 1-51.
Peter Schroeder-Heister on Proof-Theoretic Semantics.Thomas Piecha & Kai F. Wehmeier (eds.) - 2024 - Cham: Springer Nature Switzerland.
Comments on the Contributions.Peter Schroeder-Heister - 2024 - In Thomas Piecha & Kai F. Wehmeier, Peter Schroeder-Heister on Proof-Theoretic Semantics. Cham: Springer Nature Switzerland. pp. 443-455.

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Tonk, Plonk and Plink.Nuel D. Belnap - 1962 - Analysis 22 (6):130-134.
A natural extension of natural deduction.Peter Schroeder-Heister - 1984 - Journal of Symbolic Logic 49 (4):1284-1300.

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