Proof-theoretic semantics as a resource for expressing semantic variability

Synthese 200 (4):1-27 (2022)
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Abstract

The paper highlights proof-theoretic semantics as providing natural resources for capturing semantic variation in natural language. The semantic variations include:Distinction between extensional predication and attribution to intensional transitive verbs a non-specific object.Omission of a verbal argument in a transitive verb.Obtaining sameness of meaning of sentences with transitive verbs with omitted object and existentially quantified object.Blocking unwarranted entailments in adjective–noun combinations.Capturing quantifier scope ambiguity.Obtaining context dependent quantifier domain restriction. The proof-theoretic resources employed to capture the above semantic variations include:The use of different kinds of formal parameters and different ways of binding them to predicates.Omission of a premise from a proof-rule.Basing meanings on derivations in meaning-conferring proof-systems.Appealing to substructurality of I/E-rules.Controlling the order of rule applications in derivations.Controlling the open formulas participating in a context within a sequent.

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2022-07-13

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Nissim Francez
Technion, Israel Institute of Technology

Citations of this work

Proof-Theoretic Semantics.Peter Schroeder-Heister - forthcoming - Stanford Encyclopedia of Philosophy.

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References found in this work

The logical basis of metaphysics.Michael Dummett - 1991 - Cambridge: Harvard University Press.
The seas of language.Michael Dummett - 1993 - New York: Oxford University Press.
Quantifiers and propositional attitudes.Willard van Orman Quine - 1955 - Journal of Philosophy 53 (5):177-187.
On Quantifier Domain Restriction.Jason Stanley & Zoltán Gendler Szabó - 2000 - Mind and Language 15 (2-3):219--61.

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