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Sense, reference, and computation

Bentzen, Bruno (2020) Sense, reference, and computation. [Preprint]

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Abstract

In this paper, I revisit Frege's theory of sense and reference in the constructive setting of the meaning explanations of type theory, extending and sharpening a program–value analysis of sense and reference proposed by Martin-Löf building on previous work of Dummett. I propose a computational identity criterion for senses and argue that it validates what I see as the most plausible interpretation of Frege's equipollence principle for both sentences and singular terms. Before doing so, I examine Frege's implementation of his theory of sense and reference in the logical framework of Grundgesetze, his doctrine of truth values, and views on sameness of sense as equipollence of assertions.


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Item Type: Preprint
Creators:
CreatorsEmailORCID
Bentzen, Brunob.bentzen@hotmail.com0000-0002-5987-7806
Keywords: Sense and reference; Constructive semantics; Type theory; Frege
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Logic
Depositing User: Dr. Bruno Bentzen
Date Deposited: 30 Jun 2020 15:56
Last Modified: 30 Jun 2020 15:56
Item ID: 17408
Subjects: Specific Sciences > Mathematics > Foundations
Specific Sciences > Mathematics > History of Philosophy
Specific Sciences > Mathematics > History
Specific Sciences > Mathematics > Logic
Date: May 2020
URI: http://philsci-archive.pitt.edu/id/eprint/17408

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