Quasi-matrix deontic logic. The logic of norms
Authors: Ivlev Yu.V. | Published: 17.08.2018 |
Published in issue: #7(69)/2018 | |
DOI: 10.18698/2306-8477-2018-7-538 | |
Category: The Humanities in Technical University | Chapter: Philosophy Science | |
Keywords: deontic logic, the principle of quasi-functionality, calculus, completeness of the calculus, three-valued deontic logic, five-figure deontic logic, six-figure deontic logic |
The paper proposes the logic based on the principle of quasi-functionality. In line with it, not only the relation of unambiguous conditioning takes place in nature, society, cognition between phenomena, but also the relation of ambiguous conditioning. In particular, a certain reason can cause both a certain consequence, and under the same conditions in the first case — one certain consequence from several possible cases, and in the second - another consequence from the same several possible cases. Functionality, i.e. unambiguous conditioning, and total uncertainty, i.e. randomness, are particular cases of quasi-functionality. The paper considers the method of proving the completeness of the calculus of three-valued logic constructed earlier by the author. This method provides the possibility of developing technical applications of deontic logic
References
[1] Ivlev Yu.V. Logika norm. Diss. … kand. filos. nauk [The logic of norms. Cand. philos. sc. diss.]. Moscow, 1972.
[2] Ivlev Yu.V. Soderzhatelnaya semantika modalnoy logiki [Containing semantics of modal logic]. Moscow, MSU Publ., 1985, 170 p.
[3] Ivlev Yu.V. Modalnaya logika [Modal logic]. Moscow, MSU Publ., 1991, 221 p.
[4] Ivlev Yu.V. Quasi-matrix logic as a paraconsistent logic for dubitable information. Logic and Logical Philosophy, 2000, vol. 8, pp. 91–97
[5] Ivlev Yu.V. Theory of Logical Modalities. Multiple Valued Logic. An International Journal, 2000, vol. 5, pp. 91–102.
[6] Ivlev Yu.V. Quasi-matrix logic. Journal of Multiple-Valued Logic and Soft Computing. Old City Publishing, Inc. (United States), 2005, vol. 11, no. 3–4, pp. 239–252.
[7] Ivlev Yu.V. Generalization of Kalmar's method for quasi-matrix logic. Logical Investigations. Centre of Humanitarian Initiatives, 2013, vol. 19, pp. 281–307.
[8] Kuznetsov A.M. Kvazimatrichnaya logika norm. Diss. … kand. filos. nauk [Quasi-matrix logic of norms. Cand. philos. sc. diss.]. Moscow, 1998, 131 p.
[9] Arkadskova P.E. Logiko-filosofskie issledovaniya — Logical investigations, 2016, no. 7, pp. 145–152.
[10] Ivlev Yu.V. Mirovozzrencheskaya sostavlyayuschaya metodologii sotsial'nogo poznaniya (na primere kvazifunktsional'noy logiki) [World outlook component of the methodology of social cognition (on the example of quasi-functional logic)]. Chelovek i obschestvo v kontekste sovremennosti. Filosofskie chteniya pamyati professora P.K. Grechko [Man and society in the context of modernity. Philosophical readings in memory of Professor P.K. Grechko]. 2017, vol. 1, pp. 275–279.
[11] Ivlev Yu.V. Metodologicheskaya funktsiya kvazimatrichnoy (kvazifunktsionalnoy) logiki [Methodological function of quasi-matrix (quasifunctional) logic]. V sb.: Metodologiya v nauke i obrazovanii. Materialy Vserossiyskoy konferentsii universitetov i akademicheskikh institutov RAN [In: Methodology in Science and Education. Materials of the All-Russian Conference of Universities and Academic Institutes of the Russian Academy of Sciences]. 2017, pp. 61–65.