Abstract
This paper focuses on (an interpretation of) the Enkratic principle of rationality, according to which rationality requires that if an agent sincerely and with conviction believes she ought to X, then X-ing is a goal in her plan. We analyze the logical structure of Enkrasia and its implications for deontic logic. To do so, we elaborate on the distinction between basic and derived oughts, and provide a multi-modal neighborhood logic with three characteristic operators: a non-normal operator for basic oughts, a non-normal operator for goals in plans, and a normal operator for derived oughts. We prove two completeness theorems for the resulting logic, and provide a dynamic extension of the logic by means of product updates. We illustrate how this setting informs deontic logic by considering issues related to the filtering of inconsistent oughts, the restricted validity of deontic closure, and the stability of oughts and goals under dynamics.
Similar content being viewed by others
References
Anglberger, A., N. Gratzl, and O. Roy, Obligation, free choice, and the logic of weakest permissions, The Review of Symbolic Logic 8(4):807–827, 2015.
Baltag, A., L. S. Moss, and S. Solecki, The Logic of Public Announcements, Common Knowledge, and Private Suspicions (extended abstract), in Proc. of the Intl. Conf. TARK 1998, Morgan Kaufmann Publishers, 1998, pp. 43–56.
Blackburn, P., M. de Rijke, and Y. Venema, Modal Logic. Cambridge University Press, 2001.
Bratman, M., Intention, plans, and practical reason, Harvard University Press, 1987.
Broersen, J., M. Dastani, and L. Van Der Torre, Resolving conflicts between beliefs, obligations, intentions, and desires, in European Conference on Symbolic and Quantitative Approaches to Reasoning and Uncertainty, Springer, 2001, pp. 568–579.
Broome, J., Rationality Through Reasoning, Wiley-Blackwell, 2013.
Brown, M. A., Rich deontic logic: a preliminary study, Journal of Applied Logic 2(1):19–37, 2004.
Cariani, F., Consequence and contrast in deontic semantics, The Journal of Philosophy 113(8):396–416, 2016.
Ciuni, R., and A. Zanardo, Completeness of a branching-time logic with possible choices, Studia Logica 96(3):393–420, 2010.
Cohen, P. R., and H. J. Levesque, Intention is choice with commitment, Artificial Intelligence 42(2):213–261, 1990.
Craven, R., and M. Sergot, Agent strands in the action language nc+, Journal of Applied Logic 6(2):172–191, 2008.
van Ditmarsch, H., W. van der Hoek, and B. Kooi, Dynamic Epistemic Logic, Springer, 2008.
Gibbard, A.,Reconciling Our Aims: In Search of Bases for Ethics, Oxford University Press, 2008.
Goranko, V. and S. van Drimmelen, Complete axiomatization and decidability of alternating-time temporal logic, Theoretical Computer Science 353(1–3):93–117, 2006.
Hilpinen, R., and P. McNamara, Deontic logic: A historical survey and introduction, in Handbook of deontic logic and normative systems, Volume 1, College Publications, 2013, pp. 3–136.
van der Hoek, W., W. Jamroga, and M. Wooldridge, Towards a theory of intention revision, Synthese 155(2):265–290, 2007.
Horty, J., Agency and Deontic Logic, Oxford University Press, 2001.
Horty, J., Requirements, oughts, intentions, Philosophy and Phenomenological Research 91(1):220–229, 2015.
Icard, T., E. Pacuit, and Y. Shoham, Joint revision of belief and intention, in Proceedings of the 12th International Conference on Knowledge Representation, 2010, pp. 572–574.
Kolodny, N., Why be rational? Mind 114(455):509–563, 2005.
Kratzer, A., The notional category of modality, de Gruyter, 1981, pp. 38–74.
Lorini, E., and A. Herzig, A logic of intention and attempt, Synthese 163(1):45–77, 2008.
Marra, A., and D. Klein, Logic and ethics: An integrated model for norms, intentions and actions, in W. van der Hoek, W. H. Holliday, and W. Wang (Eds.), Lecture Notes in Computer Science (LNCS) 9394, Springer, 2015, pp. 268–281.
Nair, S., Consequences of reasoning with conflicting obligations, Mind 123(491):753–790, 2014.
Pacuit, E., Neighborhood semantics for modal logic, Short Textbooks in Logic, Springer, 2017.
Ross, A., Imperatives and logic, Theoria 7:53–71, 1941.
Shpall, S., Wide and narrow scope, Philosophical Studies 163(3):717–736, 2013.
Thomason, R. H., Desires and defaults: A framework for planning with inferred goals, in KR, Citeseer, 2000, pp. 702–713.
Veltman, F., Or else, what? imperatives on the borderline of semantics and pragmatics. Unpublished notes, 2011.
Venema, Y., Temporal logic, in L. Goble (Ed.), The Blackwell guide to philosophical logic, Blackwell, 2001, pp. 203–223.
von Wright, G. H., Practical inference, The philosophical review 72(2):159–179, 1963.
Yalcin, S., Modalities of normality, in N. Charlow and M. Chrisman (Eds.), Deontic Modality, Oxford University Press, 2016, pp. 230–255.
Acknowledgements
Authors are ordered alphabetically. We would like to thank John Horty, Olivier Roy, Igor Sedlár, Frederik Van De Putte, workshop audiences at DEON 2018 Utrecht and in Lublin, Bayreuth and Prague, as well as three anonymous reviewers for valuable feedback and suggestions. The work of DK was partially supported by the Deutsche Forschungsgemeinschaft (DFG) and Agence Nationale de la Recherche (ANR) as part of the joint project Collective Attitude Formation [RO 4548/8-1], by DFG and Grantová Agentura České Republiky (GAČR) through the joint project From Shared Evidence to Group Attitudes [RO 4548/6-1] and by the National Science Foundation of China as part of the project Logics of Information Flow in Social Networks [17ZDA026].
Author information
Authors and Affiliations
Corresponding author
Additional information
Publisher's Note
Springer Nature remains neutral with regard to jurisdictional claims in published maps and institutional affiliations.
Special Issue: Permissions, Obligations, and Beyond Edited byPiotr Kulicki and Olivier Roy
Rights and permissions
About this article
Cite this article
Klein, D., Marra, A. From Oughts to Goals: A Logic for Enkrasia. Stud Logica 108, 85–128 (2020). https://doi.org/10.1007/s11225-019-09854-5
Published:
Issue Date:
DOI: https://doi.org/10.1007/s11225-019-09854-5