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A Reflection on the Dialectic Synthesis

Author

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  • Enric Trillas

    (Statistics and Operational Research and Mathematics Didactics, University of Oviedo, Faculty of Sciences-Campus of Llamaquique. C/Federico García Lorca, 18, Oviedo, Oviedo 33007, Spain)

  • Itziar García-Honrado

    (Statistics and Operational Research and Mathematics Didactics, University of Oviedo, Faculty of Sciences-Campus of Llamaquique. C/Federico García Lorca, 18, Oviedo, Oviedo 33007, Spain)

Abstract

This paper contains a reflection on the Hegelian Dialectic Synthesis, shortened by the triplet Thesis–Antithesis–Synthesis, from a formal and naive points of view inscribed in the field of ordinary or commonsense reasoning. The Dialectic Synthesis is analyzed thanks to the methodology of Fuzzy Logic, and limiting the antithesis to either negation or opposite. It is shown, through very simple examples, the necessity for arriving at a synthesis, of a common ground (either crisp or possibilistic) between the thesis and its antithesis.

Suggested Citation

  • Enric Trillas & Itziar García-Honrado, 2019. "A Reflection on the Dialectic Synthesis," New Mathematics and Natural Computation (NMNC), World Scientific Publishing Co. Pte. Ltd., vol. 15(01), pages 31-46, March.
    • Handle: RePEc:wsi:nmncxx:v:15:y:2019:i:01:n:s1793005719500029
    DOI: 10.1142/S1793005719500029
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