Abstract
This paper proposes a mathematical model to describe the dynamics of flows of events that evolve, conditioned by a specific set of structures and contextual conditions, such as complex, dynamic, and contingent social phenomena. A discrete rule-based model for patterns of sequences of events deduced from Generative Grammar Theory and Category Theory depicts theoretical propositions and identifies causal relationships in empirical evidence. Regarding the ontological and epistemological assumptions of Critical Realism, the proposed modeling methodology adopts the logic of retroduction instead of the logic of falsification as a knowledge-extending means of drawing explanatory inferences from data in a systematic way.
The original version of the chapter was revised: Author corrections have been updated. The erratum to the chapter is available at 10.1007/978-3-319-61121-1_38
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References
Bhaskar, R.A.: A Realist Theory of Science. Verso, London (1975)
Braga, B.R.: Processos em redes interorganizacionais: a dinâmica das relações de cooperação e contribuição da firma pela competitividade sistêmica. Doctoral dissertation, University of Brasília (2015)
Braga, B.R.: Crafting theory for a complex, dynamic social phenomenon: a critical realist, grammar-based process model. In: Proceedings of the 1st International Symposium on Qualitative Research, CIAIQ 2016, vol. 5. Oporto, Portugal (2016)
Chomsky, N.: Three Models for the Description of Language. IEEE Trans. Inf. Theor. 2(3), 113–124 (1956)
Chomsky, N.: On certain formal properties of grammars. Inf. Control 2(2), 137–167 (1959)
Crawford, S.E.S., Ostrom, E.: A grammar of institutions. Am. Polit. Sci. Rev. 89(3), 582–600 (1995)
Dekker, A.H.: A category-theoretic approach to social network analysis. Electron. Notes Theor. Comput. Sci. 61, 1–13 (2001)
Eilenberg, S., MacLane, S.: General theory of natural equivalences. Trans. Am. Math. Soc. 58, 231 (1945)
Epstein, J.M.: Generative Social Science: Studies in Agent-Based Computational Modeling. Princeton University Press, Princeton (2007)
Gottman, J.M., Roy, A.K.: Sequence Analysis: A Guide for Behavioral Researchers. Cambridge University Press, New York (1990)
Janssen, M., Ostrom, E.: Empirically based agent-based models. Ecol. Soc. 11(2), 37 (2006)
Keiding, H.: The Categorical Approach to Social Choice Theory. Math. Soc. Sci. 1(2), 177–191 (1981)
MacLane, S., Eilenberg, S.: Groups, categories and duality. Proc. Nat. Acad. Sci. USA 34, 263–267 (1948)
von Neumann, J.: The general and logical theory of automata, cerebral mechanisms in behavior. In: The Hixon Symposium, pp. 1–31. John Wiley & Sons, Inc./Chapman & Hall, Ltd., New York, London (1951). Discussion, pp. 32–41
Pentland, B.T.: Grammatical models of organizational processes. Organ. Sci. 6(5), 541–556 (1995)
Penttonen, M.: One-sided and two-sided context in formal grammars. Inf. Control 25, 371–392 (1974)
Ragin, C.C.: The Comparative Method: Moving Beyond Qualitative and Quantitative Strategies. University of California Press, Berkeley (1987)
Salancik, G., Leblebici, H.: Variety and form in organizing transactions: a generative grammar of organizations. In: DiTomaso, N., Bacharach, S.B. (eds.) Research in the Sociology of Organizations. JAI Press, Greenwich (1988)
Sallach, D.L.: Categorical social science: theory, methodology and design. In: 4th World Congress on Social Simulation, Taipei, Taiwan (2012)
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da Rocha Braga, B. (2018). A Categorical-Generative Theory of Social Processes: Towards the Ontological and Mathematical Foundations of a Grammar-Based Model for Qualitative Research. In: Costa, A., Reis, L., Souza, F., Moreira, A. (eds) Computer Supported Qualitative Research. ISQR 2017. Advances in Intelligent Systems and Computing, vol 621. Springer, Cham. https://doi.org/10.1007/978-3-319-61121-1_34
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