Dynamic negation and negative information

Review of Symbolic Logic 2 (1):233-248 (2009)
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Abstract

This essay proposes a procedural interpretation of negative information in terms of split negation as procedural prohibition. Information frames and models are introduced, with negation defined as the implication of bottom, 0. A method for extracting the procedures prohibited by complex formulas is outlined, and the relationship between types of prohibited procedures is identified. Definitions of negation types in terms of the implication of 0 on an informational interpretation have been criticized. This criticism turns on the definitions creating a purportedly unnatural asymmetry between positive and negative information. It is demonstrated below that a strong asymmetry between positive and negative information is in fact the case. As such, an asymmetry between positive and negative information is natural, and something that we should want an informational interpretation of negation to preserve

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2009-05-29

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Sebastian Sequoiah-Grayson
University of Groningen

Citations of this work

Substructural epistemic logics.Igor Sedlár - 2015 - Journal of Applied Non-Classical Logics 25 (3):256-285.

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References found in this work

Knowledge and the Flow of Information.Fred I. Dretske - 1981 - Revue Philosophique de la France Et de l'Etranger 175 (1):69-70.
Intuitionistic logic with strong negation.Yuri Gurevich - 1977 - Studia Logica 36 (1-2):49 - 59.

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