Resumen

ARAUJO FREITAS, Alan. Mathematical Hermeneutics as a Sociological Analytical Perspective: Outlines of a Theory of Plausible Social Action. ESPACIO ABIERTO [online]. 2023, vol.32, n.4, pp.161-182.  Epub 29-Feb-2024. ISSN 1315-0006.  https://doi.org/10.5281/zenodo.10107625.

The article presents a theoretical-methodological innovation by proposing the outline of the Plausible Action Theory, which arises from an unlikely synthesis between cultural hermeneutics and mathematical probability. This synthesis is possible for two reasons: both theoretical-methodological currents accept Heisenberg's uncertainty principle (1949), and both understand that there are multiple causes (explanations) for a given response (explained). They have also overlooked an analytical model of association with more than one response term. Therefore, the innovation of this article lies in the proposition of a model with multiple causes and effects. We will refer to this relationship as the hypothesis of the duality of cause and consequence. Through the statistical technique of Path Analysis, we can construct models, albeit limited from a statistical testing perspective, that do not refute the hypothesis of duplicity, i.e., of multiple causes and multiple consequences related to the social origins and destinies of individuals. Through an analysis of social mobility and using Principal Component Analysis (PCA) and multiple independent, intervening, and dependent factors, it was observed that there is not a single answer in terms of social outcomes. We used a probabilistic sample study with information from the Social Dimensions of Inequality Survey, from the year 2008, related to Brazil. We conclude that there is a limitation in cultural hermeneutics and statistical probability in the sense that these approaches do not understand the multiple responses given certain causes, as if the responses were unique or as if they did not change over time and space.

Palabras clave : Theory; hermeneutics; mathematics; social action; epistemology; methodology.

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