Belnap and the Uniqueness of Negation

Abstract We take a close look at what is required to show the uniqueness of connectives in something very like Belnap’s sense. We find that negation demands more than conjunction, disjunction and the conditional. However, what it demands is quite in line with how we think of negation in a natural language but perhaps not in a formal language.

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Publication Details

Journal
Studia Logica
Published
2025-09-20
DOI
https://doi.org/10.1007/s11225-025-10211-y
Primary Topic
Philosophy and Theoretical Science
Type
article
Field-Weighted Citation Impact
0.00
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article

Belnap and the Uniqueness of Negation

Peter Milne
Studia Logica
Philosophy and Theoretical Science
article

Belnap and the Uniqueness of Negation

Peter Milne
article en

Abstract

Abstract We take a close look at what is required to show the uniqueness of connectives in something very like Belnap’s sense. We find that negation demands more than conjunction, disjunction and the conditional. However, what it demands is quite in line with how we think of negation in a natural language but perhaps not in a formal language.

Studia Logica
University of Stirling (GB)
Openalex Percentile: Top 74%
Philosophy and Theoretical Science
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Belnap and the Uniqueness of Negation — Peter Milne · Studia Logica (2025) | TGRS Research Map | TGRS