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2013•Logic and Logical PhilosophyRequires access

A modal logic of information

Krystyna Misiuna

Open publisher page 2 citations

Abstract

We consider modal epistemic and doxastic logics as intuitively inadequate logics of information, and we outline a modal system of the operator being informed that which avoids inconsistency with our intuitive concept of information. The system has modal structure of the normal modal logic K4, and is sound and complete on the class of all transitive frames. We compare this logic with Floridi’s KTB information logic, and we consider a possibility of extending our system to a dynamic logic.

About this research paper

What this paper is about

We consider modal epistemic and doxastic logics as intuitively inadequate logics of information, and we outline a modal system of the operator being informed that which avoids inconsistency with our intuitive concept of information. The system has modal structure of the normal modal logic K4, and is sound and complete on the class of all transitive frames. We compare this logic with Floridi’s KTB information logic, and we consider a possibility of extending our system to a dynamic logic.

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OpenAlex reports 2 citations for this work. Citation counts describe recorded attention and do not establish research quality.

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Available abstract

We consider modal epistemic and doxastic logics as intuitively inadequate logics of information, and we outline a modal system of the operator being informed that which avoids inconsistency with our intuitive concept of information. The system has modal structure of the normal modal logic K4, and is sound and complete on the class of all transitive frames. We compare this logic with Floridi’s KTB information logic, and we consider a possibility of extending our system to a dynamic logic.

Key concepts: Modal logic, Normal modal logic, Multimodal logic, Modal μ-calculus, Transitive relation, Modal operator, Dynamic logic (digital electronics), Epistemic modal logic

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