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Attainable Knowledge and Omniscience

Attainable Knowledge and Omniscience
Attainable Knowledge and Omniscience
The paper investigates an evidence-based semantics for epistemic logics. It is shown that the properties of knowledge obtained from a potentially infinite body of evidence are described by modal logic S5. At the same time, the properties of knowledge obtained from only a finite subset of this body are described by modal logic S4. The main technical result is a sound and complete bi-modal logical system that describes properties of these two modalities and their interplay.
251-265
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Tao, Jia
008c0748-696c-4069-a351-551d311e8056
Naumov, Pavel
8b6c40fb-b199-44d5-a8e2-0ebd021566b0
Tao, Jia
008c0748-696c-4069-a351-551d311e8056

Naumov, Pavel and Tao, Jia (2021) Attainable Knowledge and Omniscience. In Proceedings Eighteenth Conference on Theoretical Aspects of Rationality and Knowledge. vol. 335, pp. 251-265 . (doi:10.4204/EPTCS.335.24).

Record type: Conference or Workshop Item (Paper)

Abstract

The paper investigates an evidence-based semantics for epistemic logics. It is shown that the properties of knowledge obtained from a potentially infinite body of evidence are described by modal logic S5. At the same time, the properties of knowledge obtained from only a finite subset of this body are described by modal logic S4. The main technical result is a sound and complete bi-modal logical system that describes properties of these two modalities and their interplay.

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Published date: 22 June 2021
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Identifiers

Local EPrints ID: 453048
URI: http://eprints.soton.ac.uk/id/eprint/453048
DOI: doi:10.4204/EPTCS.335.24
PURE UUID: 2addd01e-1aa4-40fa-ac8b-5847ce2e7d74
ORCID for Pavel Naumov: ORCID iD orcid.org/0000-0003-1687-045X

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Date deposited: 07 Jan 2022 17:47
Last modified: 17 Mar 2024 04:10

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Contributors

Author: Pavel Naumov ORCID iD
Author: Jia Tao

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