The University of Southampton
University of Southampton Institutional Repository
Warning ePrints Soton is experiencing an issue with some file downloads not being available. We are working hard to fix this. Please bear with us.

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.

Text
1705.10760v2 - Version of Record
Available under License Creative Commons Attribution.
Download (808kB)

More information

Published date: 22 June 2021

Identifiers

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

Catalogue record

Date deposited: 07 Jan 2022 17:47
Last modified: 09 Jan 2022 04:14

Export record

Altmetrics

Contributors

Author: Pavel Naumov ORCID iD
Author: Jia Tao

Download statistics

Downloads from ePrints over the past year. Other digital versions may also be available to download e.g. from the publisher's website.

View more statistics

Atom RSS 1.0 RSS 2.0

Contact ePrints Soton: eprints@soton.ac.uk

ePrints Soton supports OAI 2.0 with a base URL of http://eprints.soton.ac.uk/cgi/oai2

This repository has been built using EPrints software, developed at the University of Southampton, but available to everyone to use.

We use cookies to ensure that we give you the best experience on our website. If you continue without changing your settings, we will assume that you are happy to receive cookies on the University of Southampton website.

×