Logic of Social Ontology and Łoś’s Operator
DOI:
https://doi.org/10.12775/LLP.2020.005Keywords
agent based systems, computational sociology, Jerzy Łoś, logic for social sciences, multi-agent systems, positional logic, realization operator, social ontology, social phenomena, sociology, social sciencesAbstract
In 1947 Jerzy Łoś proposed a positional logic based on the realization operator. We follow his work and present it in the context of fundamental challenges of sociology such as the complexity of social reality and reflexivity of social agents. The paper is an outline of the general concept, as it opens a discussion and sets ground for future elaborations. In this paper, we are considering the concept according to which the expressions put forward by Łoś’s system might be indexed not only by spatial and temporal variables, but also by social contexts. And as such Łoś’s system might be a significant improvement, a valuable addition for social simulations and computational sociology, which use multi-agent systems and agent-based modeling. We consider how Łoś’s operator might be useful for these disciplines, as it gives a chance to combine of formalization with the humanistic coefficient, which represents the issues of complexity and reflexivity of social agents.
References
Archer, M.S., Realist Social Theory: the Morphogenetic Approach, Cambridge: Cambridge University Press, 1995.
Bar-Hillel, Y. Pragmatics of Natural Language, Reidel, Dordrecht, 1971.
Dastani, M., D. Grossi, J. Meyer, N. Tinnemeier, “Normative multi-agent programs and their logics”, in R. Bordini, M. Dastani, J. Dix and A. El Fallah-Seghrouchni (eds.), Programming Multi-Agent Systems, series “Dagstuhl Seminar Proceedings”, 08361, Schloss Dagstuhl 2008. http://drops.dagstuhl.de/opus/volltexte/2008/1637
Epstein, J., and R. Axtell, Growing Artificial Societies: Social Science from the Bottom-Up, Boston: MIT Press, 1996.
Flint Ashery, S., Schelling-type Micro-segregation in a Hassidic Enclave of Stamford-Hill, Housing Studies, 2018. DOI: http://dx.doi.org/10.1080/02673037.2017.1414160
Fritz, J.M., “The basics: From concepts to models”, pages 7–18 in J.M. Fritz (ed.), International Clinical Sociology, New York, Springer, 2008. DOI: http://dx.doi.org/10.1007/978-0-387-73827-7_2
Garson, J., and N. Rescher, “Topological logic”, Journal of Symbolic Logic 33 (1968): 537–548.
Hiż, H., “Review: J. Los, Foundations of the methodological analysis of Mill’s canons”, Journal of Symbolic Logic 16 (1951): 58–59.
Jarmużek, T., and A. Pietruszczak http://dx.doi.org/10.12775/LLP.2004.009
Jarmużek, T., “Rekonstrukcje rozumowania Diodora Kronosa w ontologii czasu punktowego” (Reconstruction of Diodorus Cronus’ argument in frame of ontology of time consisted of points), Analiza i Egzystencja 3 (2006): 197–215.
Jarmużek, T., “Minimal logical systems with R-operator: Their metalogical properties and ways of extensions”, pages 319–333 in J.-Y. Bézieau and A. Costa-Leite (eds.), Perspectives on Universal Logic, Polimetrica Publisher, Italy, 2007.
Jarmużek T., and M. Tkaczyk, Normalne logiki pozycyjne (Normal Positional Logics), Lublin: Towarzystwo Naukowe KUL, 2015.
Jarmużek, T., On the Sea Battle Tomorrow That May Not Happen. A Logical and Philosophical Analysis of the Master Argument, Berlin: Peter Lang, 2018. DOI: http://dx.doi.org/10.3726/b14343
Kaplan, D., “On the logic of demonstratives, Journal of Philosophical Logic 8 (1978): 99–115. DOI: http://dx.doi.org/10.1007/BF00258420
Karczewska, A., Maximality of the Minimal R-logic, Logic and Logical Philosophy 27, 2 (2018): 193–203. DOI: http://dx.doi.org/10.12775/LLP.2017.008
Lazer, D., et al., “Computational social science”, Science 323 (2009): 721–723. DOI: http://dx.doi.org/10.1126/science.1167742
Lechniak, M., “Logika epistemiczna Jerzego Łosia a teoria racjonalnego zachowania” (Epistemic logic of Jerzy Łoś and the theory of rational behaviour), Roczniki Filozoficzne 26, 1 (1988): 79–91.
Łoś, J., “Podstawy analizy metodologicznej kanonów Milla” (Foundations of methodological analysis of Mill’s canons), Annales Universitatis Mariae Curie-Skłodowska 2.5. F (1947): 269–301.
Łoś, J., “Logiki wielowartościowe a formalizacja funkcji intensjonalnych” (Multivalued logics and formalizationof intensional functions), Kwartalnik Filozoficzny XVII, 1–2 (1948): 59–78.
Macy, M.W., and R. Willer, “From factors to actors”, Annual Review of Sociology 28 (2002): 143–166. DOI: http://dx.doi.org/10.1146/annurev.soc.28.110601.141117
Malinowski, J., “The pragmatic interpretation of utterances”, Logic and Logical Philosophy 11–12 (2003): 115–127. DOI: http://dx.doi.org/10.12775/LLP.2003.006
Merton, R.K., “The self-fulfilling prophecy”, The Antioch Review 8, 2 (1948): 193–210.
Montague, R., Formal Philosophy, R.H. Thomason (ed.), Yale University Press, 1974.
Prior, A.N., Time and Modality, Oxford: Clarendon Press, 1957.
Rescher, N., Temporal Modalities in Arabic Logic, Dordrecht: Reidel, 1967.
Rescher, N., “Topological logic”, pages 229–249 in Topics in Philosophical Logic, Dordrecht-Holland: D. Reidel Publishing Company, 1968.
Rescher, N., and A. Urquhart, Temporal Logic, Library of Exact Philosophy, Wien, New York: Springer Verlag, 1971.
Sawyer, K.R., “Artificial societies: Multiagent systems and the micro-macro link in sociological theory”, Sociological Methods Research 31 (2003). DOI: http://dx.doi.org/10.1177/0049124102239079
Schelling, T., “Dynamic models of segregation”, Journal of Mathematical Sociology 1, 2 (1971): 143–186. DOI: http://dx.doi.org/10.1080/0022250X.1971.9989794
Scott, D., “Advice on modal logic”, pages 143–173 in K. Lambert (ed.), Philosophical Problems in Logic, Dordrecht: Reidel, 1970.
Sojak, R., The Anthropological Paradox: The Sociology of Knowledge as Perspective of the General Theory of Society, Berlin: Peter Lang, 2018. DOI: http://dx.doi.org/10.3726/b13442
Stalnaker, R.C., “Pragmatics”, Synthese 22, 1–2 (1970): 272–289. DOI: http://dx.doi.org/10.1007/BF00413603
Suszko, R., “Review: Jerzy Los, Many-valued logics and formalization of intensional functions”, Journal of Symbolic Logic 14 (1949): 64–65.
Tkaczyk, M., Logika czasu empirycznego (Logic of Physical Time), Lublin: Wydawnictwo KUL, 2009.
Tkaczyk, M., “Negation in weak positional calculi”, Logic and Logical Philosophy 22, 1 (2013): 3–19. DOI: http://dx.doi.org/10.12775/LLP.2013.001
Tkaczyk, M., “Distribution laws in Weak Positional Logics”, Roczniki Filozoficzne 66, 3 (2018): 163–179. DOI: http://dx.doi.org/10.18290/rf.2018.66.3-8
Tkaczyk, M., and T. Jarmużek, “Jerzy Łoś positional calculus and the origin of temporal logic”, Logic and Logical Philosophy 28, 2 (2019). DOI: http://dx.doi.org/10.12775/LLP.2018.013
Thomas, W.I., and D.S. Thomas, The child in America: Behavior Problems and Programs, New York: Knopf, 1928.
Znaniecki, F., “The object matter of sociology”, American Journal of Sociology 32, 4 (1927): 529–584.
Downloads
Published
How to Cite
Issue
Section
Stats
Number of views and downloads: 556
Number of citations: 3