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Logic and Logical Philosophy

If You’re Happy, Then You Know It: The Logic of Happiness . . . and Sadness
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  • If You’re Happy, Then You Know It: The Logic of Happiness . . . and Sadness
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  3. Vol. 33 No. 3 (2024): September /
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If You’re Happy, Then You Know It: The Logic of Happiness . . . and Sadness

Authors

  • Sanaz Azimipour Berlin University of Applied Sciences
  • Pavel Naumov University of Southampton https://orcid.org/0000-0003-1687-045X

DOI:

https://doi.org/10.12775/LLP.2024.009

Keywords

epistemic logic, preferences, completeness, undefinability

Abstract

The article proposes a formal semantics of happiness and sadness modalities in the imperfect information setting. It shows that these modalities are not definable through each other and gives a sound and complete axiomatization of their properties.

References

Adam, C., A. Herzig, and D. Longin, “A logical formalization of the occ theory of emotions”, Synthese 168 (2), 2009: 201–248. DOI: http://dx.doi.org/10.1007/s11229-009-9460-9

Ahmed, S., The Promise of Happiness, Duke University Press, 2010.

Argyle, M., The Psychology of Happiness, Routledge, 2013.

Bok, S., Exploring Happiness: From Aristotle to Brain Science, Yale University Press, 2010.

Bruni, L., and P. L. Porta, Economics and Happiness: Framing the Analysis, OUP Oxford, 2005.

Doyle, J., Y. Shoham, and M. P. Wellman, “A logic of relative desire”, pages 16–31 in International Symposium on Methodologies for Intelligent Systems, Springer, 1991. DOI: http://dx.doi.org/10.1007/3-540-54563-8_65

Feldman, F., “An improved whole life satisfaction theory of happiness?”, International Journal of Wellbeing 9 (2), 2019. DOI: http://dx.doi.org/10.5502/ijw.v9i2.762

Frey, B. S., Happiness: A Revolution in Economics, MIT Press, 2010.

Lang, J., L. Van Der Torre, and E. Weydert, “Utilitarian desires”, Autonomous Agents and Multi-Agent Systems 5 (3), 2002: 329–363.

Liu, F., Reasoning about Preference Dynamics, volume 354 of Springer Science & Business Media, 2011.

Lorini, E., and F. Schwarzentruber, “A logic for reasoning about counterfactual emotions”, Artificial Intelligence 175 (3), 2011: 814–847. DOI: http://dx.doi.org/10.1016/j.artint.2010.11.022

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

Meyer, J.-J. Ch., “Reasoning about emotional agents”, pages 129–133 in Proceedings of the 16th European Conference on Artificial Intelligence, 2004.

Ortony, A., G. L. Clore, and A. Collins, The Cognitive Structure of Emotions, Cambridge University Press, 1988.

Osborne, M. J., and A. Rubinstein, A Course in Game Theory, MIT Press, Cambridge, MA, 1994.

Steunebrink, B. R., M. Dastani, and J.-J. Ch. Meyer, “A logic of emotions for intelligent agents”, page 142 in Proceedings of the National Conference on Artificial Intelligence, volume 22, Menlo Park, CA; Cambridge, MA; London; AAAI Press; MIT Press, 1999 (2007).

Stewart, M. E., K. P. Ebmeier, and I. J. Deary, “Personality correlates of happiness and sadness: Epq-r and tpq compared”, Personality and Individual Differences 38 (5), 2005: 1085–1096. DOI: http://dx.doi.org/10.1016/j.paid.2004.07.007

Suikkanen, J., “An improved whole life satisfaction theory of happiness”, International Journal of Wellbeing 1 (1), 2011. DOI: http://dx.doi.org/10.5502/ijw.v9i2.762

Van Benthem, J., and Liu, F., “Dynamic logic of preference upgrade”, Journal of Applied Non-Classical Logics 17 (2), 2007: 157–182. DOI: http://dx.doi.org/10.3166/jancl.17.157-182

Logic and Logical Philosophy

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Published

2024-02-05

How to Cite

1.
AZIMIPOUR , Sanaz and NAUMOV, Pavel. If You’re Happy, Then You Know It: The Logic of Happiness . . . and Sadness. Logic and Logical Philosophy. Online. 5 February 2024. Vol. 33, no. 3, pp. 403-462. [Accessed 13 January 2026]. DOI 10.12775/LLP.2024.009.
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Issue

Vol. 33 No. 3 (2024): September

Section

Articles

License

Copyright (c) 2024 Sanaz Azimipour , Pavel Naumov

Creative Commons License

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

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