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Logic and Logical Philosophy

Doxastic Arrogance Paradox
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Doxastic Arrogance Paradox

Authors

  • Andrzej Wiśniewski Department of Logic and Cognitive Science, Adam Mickiewicz University in Poznań https://orcid.org/0000-0001-7820-428X

DOI:

https://doi.org/10.12775/LLP.2025.020

Keywords

knowledge, belief, epistemic-doxastic logics, paradoxes

Abstract

The Doxastic Arrogance Paradox, DAP, states that the belief that a proposition is an item of knowledge implies that the proposition holds/is true. Some possible sources of DAP, different from the negative introspection principle for knowledge, are pointed out. The emplacement of DAP among related paradoxes of epistemic-doxastic logics is characterized. Finally, some profits of identification of sources of DAP for the philosophical analysis of knowledge and belief are pointed out.

References

Aucher, G., 2014, “Principles of knowledge, belief and conditional belief”, pages 97–134 in M. Rebuschi, M. Batt, G. Heinzmann, F. Lihoreau, M. Musdiol, and A. Trognon (eds.), Interdisciplinary Works in Logic, Epistemology, Psychology and Linguistics, Cham: Springer. DOI: https://doi.org/10.1007/978-3-319-03044-9_5

Floridi, L., 2006, “The logic of being informed”, Logique et Analyse 196: 433–460. https://www.jstor.org/stable/44085232

Gochet, P., and P. Gribomont, 2006, “Epistemic Logic”, pages 99–195 in D. Gabbay and J. Woods (eds.), Handbook of the History of Logic. Vol. 7: Logic and the Modalities in the Twentieth Century, Amsterdam: Elsevier. DOI: https://doi.org/10.1016/S1874-5857(06)80028-2

Hintikka, J., 1962, Knowledge and Belief. An Introduction to the Logic of the Two Notions, Ithaca: Cornell University Press.

Kostrzycka, Z., 2010, On Modal Systems in the Neighbourhood of the Brouwer Logic, Wrocław: Wydawnictwo Uniwersytetu Wrocławskiego.

Lenzen, W., 1978, “Recent work in epistemic logic”, Acta Philosophica Fennica 30: 1–219.

van der Hoek, W., 1993, “Systems for knowledge and belief”, Journal of Logic and Computation 3: 173–195. DOI: https://doi.org/10.1093/logcom/3.2.173

Ditmarsch, H., J. Halpern, W. van der Hoek, and B. Kooi (eds.), 2015, Handbook of Epistemic Logic, College Publications, Milton Keynes.

Voorbraak, F., 1993, “As far as I know. Epistemic logic and uncertainty”, Ph.D. Thesis, Department of Philosophy, Utrecht University.

Williamson, T., 2001, “Some philosophical aspects of reasoning about knowledge”, page 97 in J. van Benthem (ed.), Proceedings of the 8th Conference TARK 2001, San Francisco: Morgan Kaufmann.

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Published

2025-11-16

How to Cite

1.
WIŚNIEWSKI, Andrzej. Doxastic Arrogance Paradox. Logic and Logical Philosophy. Online. 16 November 2025. pp. 1-25. [Accessed 18 December 2025]. DOI 10.12775/LLP.2025.020.
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Copyright (c) 2025 Andrzej Wiśniewski

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

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