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(1)Contents Advances in Proof-Theoretic Semantics: Introduction

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Contents

Advances in Proof-Theoretic Semantics: Introduction. . . 1 Thomas Piecha and Peter Schroeder-Heister

On the Relation Between Heyting’s and Gentzen’s Approaches

to Meaning. . . 5 Dag Prawitz

Kreisel’s Theory of Constructions, the Kreisel-Goodman Paradox,

and the Second Clause . . . 27 Walter Dean and Hidenori Kurokawa

On the Paths of Categories . . . 65 Kosta Došen

Some Remarks on Proof-Theoretic Semantics. . . 79 Roy Dyckhoff

Categorical Harmony and Paradoxes in Proof-Theoretic Semantics. . . . 95 Yoshihiro Maruyama

The Paradox of Knowability from an Intuitionistic Standpoint . . . 115 Gabriele Usberti

Explicit Composition and Its Application in Proofs

of Normalization. . . 139 Jan von Plato

Towards a Proof-Theoretic Semantics of Equalities . . . 153 Reinhard Kahle

On the Proof-Theoretic Foundations of Set Theory. . . 161 Lars Hallnäs

A Strongly Differing Opinion on Proof-Theoretic Semantics? . . . 173 Wilfrid Hodges

v

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Comments on an Opinion. . . 189 Kosta Došen

On Dummett’s“Proof-Theoretic Justifications of Logical Laws”. . . 195 Warren Goldfarb

Self-contradictory Reasoning. . . 211 Jan Ekman

Completeness in Proof-Theoretic Semantics. . . 231 Thomas Piecha

Open Problems in Proof-Theoretic Semantics. . . 253 Peter Schroeder-Heister

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