Resumen

SARMENTO, Alan Kardec Carvalho. The logic of thought and mathematical logic: an epistemological analysis based on the study of the historical-logical movement of the concept of measure. Obutchénie: R. de Didat. e Psic. Pedag. [online]. 2024, vol.8, e2024-37.  Epub 15-Jun-2025. ISSN 2526-7647.  https://doi.org/10.14393/obv8.e2024-37.

This article is the result of a literature review, with the aim of discussing the problem of the consistency of mathematics in the context of formal logic and its relationship with the logic of thought. Theoretically, the study was based on Historical Dialectical Materialism, using the Logical-Historical method. method of the concept of measure in the epistemological analysis. The methodology consisted of from a historical- epistemological analysis, relating mathematical logic and formal logic in the context of the logic of thought in order to draw up a historical synthesis that encompasses the origin, mathematical foundations and social content underlying the concept of measure, seeking epistemological elements that make it possible to elucidate the process of constructing measures. In general, the results indicate that mathematical logic results from the logic of thought, encompasses formal logic and surpasses it, to the extent that it considers the cultural and social content of mathematical concepts, their original conditions, their foundations, their links, laws and relationships that determine them as phenomena in the concrete world. It also corroborates Kopnin's (1978) thesis that the fundamental logic of thought moves upwards from the simple to the concrete, from the lower to the higher, reflecting the laws that determine the development of the concept in the objective world.

Palabras clave : Concept of Measures; Logical-historical; Epistemology of mathematics; Logic of thought; Mathematical logie.

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