Intensional Harmony as Isomorphism

In Thomas Piecha & Kai F. Wehmeier (eds.), Peter Schroeder-Heister on Proof-Theoretic Semantics. Springer. 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

References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge: Harvard University Press.
Natural deduction: a proof-theoretical study.Dag Prawitz - 1965 - Mineola, N.Y.: Dover Publications.
The Runabout Inference-Ticket.A. N. Prior - 1960 - Analysis 21 (2):38-39.
Tonk, Plonk and Plink.Nuel Belnap - 1962 - Analysis 22 (6):130-134.

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