Skip to main content Skip to main navigation menu Skip to site footer
  • Register
  • Login
  • Language
    • English
    • Język Polski
  • Menu
  • Home
  • Current
  • Archives
  • Online First Articles
  • About
    • About the Journal
    • Submissions
    • Editorial Team
    • Advisory Board
    • Peer Review Process
    • Logic and Logical Philosophy Committee
    • Open Access Policy
    • Privacy Statement
    • Contact
  • Register
  • Login
  • Language:
  • English
  • Język Polski

Logic and Logical Philosophy

Egocentric Doxastic Logic
  • Home
  • /
  • Egocentric Doxastic Logic
  1. Home /
  2. Archives /
  3. Online First Articles /
  4. Articles

Egocentric Doxastic Logic

Authors

  • Pavel Naumov University of Southampton https://orcid.org/0000-0003-1687-045X
  • Chenyang Wu University of Southampton https://orcid.org/0009-0004-5194-7912

DOI:

https://doi.org/10.12775/LLP.2024.024

Keywords

beliefs, egocentric, axiomatisation, non-rigid names

Abstract

Originally proposed by Prior, egocentric logic is a class of logical systems that capture properties of agents rather than of possible worlds. The article proposes a doxastic egocentric system with rigid names for reasoning about beliefs that an agent might have about herself.

References

Baltag, A., and S. Smets. Conditional doxastic models: A qualitative approach to dynamic belief revision. Electronic Notes in Theoretical Computer Science, 165: 5–21, 2006. DOI: http://dx.doi.org/10.1016/j.entcs.2006.05.034

Baltag, A., and S. Smets. A qualitative theory of dynamic interactive belief revision. Pages 9–58, Chapter 39, in G. Bonanno, W. van der Hoek and M. Wooldridge (eds.) Logic and the Foundations of Game and Decision Theory (LOFT 7), 3, 2008.

Board, O. Dynamic interactive epistemology. Games and Economic Behavior, 49(1): 49–80, 2004. DOI: http://dx.doi.org/10.1016/j.geb.2003.10.006

Boutilier, C. Conditional logics of normality: A modal approach. Artificial Intelligence, 68(1): 87–154, 1994. DOI: http://dx.doi.org/10.1016/0004-3702(94)90096-5

Christoff, Z., and J. U.Hansen. Alogic fordiffusion in social networks. Journal of Applied Logic, 13(1): 48–77, 2015. DOI: http://dx.doi.org/10.1016/j.jal.2014.11.011

Christoff, Z., J. U. Hansen, and C. Proietti. Reflecting on social influence in networks. Journal of Logic, Language and Information, 25(3): 299–333, 2016. DOI: http://dx.doi.org/10.1007/s10849-016-9242-y

Epstein, S., and P. Naumov. Epistemic logic of know-who. Proceedings of the AAAI Conference on Artificial Intelligence, 2021. DOI: http://dx.doi.org/10.1609/aaai.v35i13.17367

Epstein, S., P. Naumov, and J. Tao. An egocentric logic of de dicto and de re knowing who. Journal of Logic and Computation, 2023. DOI: http://dx.doi.org/10.1093/logcom/exad053

Fagin, R., J. Y. Halpern, Y. Moses, and M. Y. Vardi. Reasoning about Knowledge. MIT Press, Cambridge, MA, 1995. DOI: http://dx.doi.org/10.7551/mit-press/5803.001.0001

Friedman, N., and J. Y. Halpern. Modeling belief in dynamic systems, part I: Foundations. Artificial Intelligence, 95(2): 257–316, 1997. DOI: http://dx.doi.org/10.1016/S0004-3702(97)00040-4

Friedman, N., and J. Y. Halpern. Modeling belief in dynamic systems, part II: Revision and update. Journal of Artificial Intelligence Research, 10: 117–167, 1999.

Girlando, M., S. Negri, N. Olivetti, and V. Risch. The logic of conditional beliefs: Neighbourhood semantics and sequent calculus. Pages 322–341 in L. Beklemishev, S. Demri and A. Màté (eds.) Advances in Modal Logic 2016. College Publications, 2016.

Girlando, M., B. Lellmann, and N. Olivetti. Nested sequents for the logic of conditional belief. ELIA – European Conference on Logics in Artificial Intelligence, 2019. https://hal.science/hal-02077057v1/file/Nested_sequents_for_the_logic_of_conditional_belief.pdf

Grove, A. J. Naming and identity in epistemic logic; Part II: a first-order logic for naming. Artificial Intelligence, 74(2): 311–350, 1995.

Grove, A. J., and J. Y. Halpern. Naming and identity in a multi-agent epistemic logic. Pages 301–312 in J. F. Allen, R. Fikes and E. Sandewall (eds.), Proceedings of the 2nd International Conference on Principles of Knowledge Representation and Reasoning (KR’91). Cambridge, MA, 1991.

Grove, A. J., and J. Y. Halpern. Naming and identity in epistemic logics; Part I: the propositional case. Journal of Logic and Computation, 3(4): 345–378, 1993. DOI: http://dx.doi.org/10.1093/logcom/3.4.345

Jiang, J., and P. Naumov. The egocentric logic of preferences. Pages 2676–2682 in The 31st International Joint Conference on Artificial Intelligence, 2022. DOI: http://dx.doi.org/10.24963/ijcai.2022/371

Jiang, J., and P. Naumov. In data we trust: The logic of trust-based beliefs. Pages 2683–2689 in the 31st International Joint Conference on Artificial Intelligence, 2022. DOI: http://dx.doi.org/10.24963/ijcai.2022/372

Jiang, J., and P. Naumov. A logic of higher-order preferences. Synthese, 203:210, 2024. DOI: http://dx.doi.org/10.1007/s11229-024-04655-3

Lewis, D. K., Counterfactuals. Harvard University Press, 1973.

Marx, M., and Y. Venema. Multi-Dimensional Modal Logic. Springer, 1997. DOI: http://dx.doi.org/10.1007/978-94-011-5694-3

Mendelson, E. Introduction to Mathematical Logic. CRC press, Boca Raton, Florida, 2009.

Meyer, J.-J. C., and W. van der Hoek. Epistemic Logic for AI and Computer Science. Cambridge University Press, 2004. DOI: http://dx.doi.org/10.1017/CBO9780511569852

Naumov, P., and K. Ros. Comprehension and knowledge. Pages 11622–11629 in The Thirty-Fifth AAAI Conference on Artificial Intelligence, 2021.

Naumov, P., and J. Tao. An egocentric logic of knowing how to tell them apart. The Journal of Symbolic Logic, 2023. DOI: http://dx.doi.org/10.1017/jsl.2023.45

Prior, A. N. Egocentric logic. Noûs, 2(3): 191–207, 1968. DOI: http://dx.doi.org/10.2307/2214717

Sano, K. Axiomatizing hybrid products: How can we reason many-dimensionally in hybrid logic? Journal of Applied Logic, 8(4): 459–474, 2010. DOI: http://dx.doi.org/10.1016/j.jal.2010.08.006

Seligman, J., F. Liu, and P. Girard. Logic in the community. Pages 178–188 in Logic and Its Applications. Springer, 2011. DOI: http://dx.doi.org/10.1007/978-3-642-18026-2_15

Seligman, J., F. Liu, and P. Girard. Facebook and the epistemic logic of friendship. Pages 229–238 in 14th conference on Theoretical Aspects of Rationality and Knowledge (TARK’13), 2013.

van Eijck, J., and K. Li. Conditional belief, knowledge and probability. Pages 188–206 in Proceedings of the 16th Conference on Theoretical Aspects of Rationality and Knowledge, 2017.

Downloads

  • PDF

Published

2024-09-25

How to Cite

1.
NAUMOV, Pavel and WU, Chenyang. Egocentric Doxastic Logic. Logic and Logical Philosophy. Online. 25 September 2024. pp. 1-23. [Accessed 17 May 2025]. DOI 10.12775/LLP.2024.024.
  • ISO 690
  • ACM
  • ACS
  • APA
  • ABNT
  • Chicago
  • Harvard
  • IEEE
  • MLA
  • Turabian
  • Vancouver
Download Citation
  • Endnote/Zotero/Mendeley (RIS)
  • BibTeX

Issue

Online First Articles

Section

Articles

License

Copyright (c) 2024 Pavel Naumov, Chenyang Wu

Creative Commons License

This work is licensed under a Creative Commons Attribution-NoDerivatives 4.0 International License.

Stats

Number of views and downloads: 686
Number of citations: 0

Crossref
Scopus
Google Scholar
Europe PMC

Search

Search

Browse

  • Browse Author Index
  • Issue archive

User

User

Current Issue

  • Atom logo
  • RSS2 logo
  • RSS1 logo

Information

  • For Readers
  • For Authors
  • For Librarians

Newsletter

Subscribe Unsubscribe

Language

  • English
  • Język Polski

Tags

Search using one of provided tags:

beliefs, egocentric, axiomatisation, non-rigid names
Up

Akademicka Platforma Czasopism

Najlepsze czasopisma naukowe i akademickie w jednym miejscu

apcz.umk.pl

Partners

  • Akademia Ignatianum w Krakowie
  • Akademickie Towarzystwo Andragogiczne
  • Fundacja Copernicus na rzecz Rozwoju Badań Naukowych
  • Instytut Historii im. Tadeusza Manteuffla Polskiej Akademii Nauk
  • Instytut Kultur Śródziemnomorskich i Orientalnych PAN
  • Instytut Tomistyczny
  • Karmelitański Instytut Duchowości w Krakowie
  • Ministerstwo Kultury i Dziedzictwa Narodowego
  • Państwowa Akademia Nauk Stosowanych w Krośnie
  • Państwowa Akademia Nauk Stosowanych we Włocławku
  • Państwowa Wyższa Szkoła Zawodowa im. Stanisława Pigonia w Krośnie
  • Polska Fundacja Przemysłu Kosmicznego
  • Polskie Towarzystwo Ekonomiczne
  • Polskie Towarzystwo Ludoznawcze
  • Towarzystwo Miłośników Torunia
  • Towarzystwo Naukowe w Toruniu
  • Uniwersytet im. Adama Mickiewicza w Poznaniu
  • Uniwersytet Komisji Edukacji Narodowej w Krakowie
  • Uniwersytet Mikołaja Kopernika
  • Uniwersytet w Białymstoku
  • Uniwersytet Warszawski
  • Wojewódzka Biblioteka Publiczna - Książnica Kopernikańska
  • Wyższe Seminarium Duchowne w Pelplinie / Wydawnictwo Diecezjalne „Bernardinum" w Pelplinie

© 2021- Nicolaus Copernicus University Accessibility statement Shop