The “Paradox of Singleton” in the Deontic Logic: Maximus the Confessor et alii
DOI:
https://doi.org/10.47850/RL.2022.3.2.50-59Keywords:
deontic logic, paracomplete logic, Byzantine logic, Maximus the Confessor, free willAbstract
Since Aristotle, it is assumed, in deontic logics, that the free will of an agent requires necessarily a possibility of choice between no less than two alternatives. This condition was not sine qua non in the Byzantine theology. The free will without a choice between different alternatives was also conceivable. The situation of “choice from one”, where the set of alternatives is a singleton, was considered as distinct from the situation when the set of alternatives is void. The implied deontic logic is paracomplete
References
Максим Исповедник. (2014). Богословско-полемические сочинения (Opuscula Theologica et Polemica). Пер. Д. А. Черноглазова и А. М. Шуфрина. Науч. ред., предисл. и коммент. Г. И. Беневича. Святая гора Афон. СПб.
Maximus the Confessor. (2014). Theological and Polemical Works (Opuscula Theologica et Polemica). Chernoglazov, D. A. and Chouffrine, A. M. (transl.). Benevich, G. I. (ed., introd., comment.). Holy Mountain Athos. St Petersburg.
Balbiani, Ph., Herzig, A. and Troquard, N. (2008). Alternative Axiomatics and Complexity of Deliberative STIT Theories. Journal of Philosophical Logic. Vol. 37. pp. 387-406.
da Costa, N. C. A., Carnielli, W. A. (1986). On Paraconsistent Deontic Logic. Philosophia. Vol. 16. pp. 293-305.
Horty, J. F. (2001). Agency and Deontic Logic. Oxford. Oxford University Press.
Horty, J., Belnap, N. (1995). The Deliberative stit: A Study of Action, Omission, Ability, and Obligation. Journal of Philosophical Logic. Vol. 24. pp. 583-644.
Berlin, I. (2002). Two Concepts of Liberty. In I. Berlin. Liberty. Incorporating “Four Essays on Liberty”. Hardy, H. (ed.). Oxford. pp. 166-217.
Larchet, J.-Cl. (1996). La divinisation de l’homme selon saint Maxime le Confesseur. Paris.
Lewis, D. (1991). Parts of Classes. Oxford.
Lewis, D. (1998). Mathematics is megethology. In D. Lewis. Papers in philosophical logic. Cambridge. pp. 203-229.
Lourié, B. (2018). A Freedom beyond Conflict: The Logic of Internal Conflict and the Free Will in Maximus the Confessor. Scrinium. Vol. 14. pp. 63-74.
Maximus Confessor. (1865). Opuscula theologica et polemica. Combefis, F. (ed.). In Patrologiae cursus completus. Series graeca. Paris. Accurante J.-P. Migne. Vol. 91. Cols. 9-285.
McGinnis, C. (2007). Paraconsistency and Deontic Logic: Formal Systems for Reasoning with Normative Conflicts. PhD Thesis. University of Minnesota (unpublished).
Xu, M. (1998). Axioms for Deliberative “Stit”. Journal of Philosophical Logic. Vol. 27. pp. 505 552.
Downloads
Published
How to Cite
Issue
Section
License
This work is licensed under a Creative Commons Attribution-NonCommercial-NoDerivatives 4.0 International License.
https://oc.philosophy.nsc.ru/remote.php/webdav/%D0%94%D0%BE%D0%B3%D0%BE%D0%B2%D0%BE%D1%80%20%D1%81%20%D0%B0%D0%B2%D1%82%D0%BE%D1%80%D0%BE%D0%BC%20RL-%D0%BF%D1%80%D0%B0%D0%B2.doc
