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Dialectics as Dynamics of Non-conservative Systems

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Abstract

This paper is an attempt to construct a bridge between dialectics and mathematics, to interpret main dialectical laws in terms of the theory of dynamical systems. Negation is interpreted as a discrete shift along the dynamical system trajectory. For conservative systems, double negation law is trivial as in formal logic; for non-conservative systems, this law means slow evolution of the system under consideration. There are also mathematical interpretations for the transition from quantity to quality and interconnection between opposites.

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Authors and Affiliations

  1. Sobolev Institute of Mathematics, Koptyuga av. 4, Novosibirsk, Russia, 630090

    Evgeny G. Malkovich

  2. Novosibirsk State University, Pirogova str. 1, Novosibirsk, Russia, 630090

    Evgeny G. Malkovich

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  1. Evgeny G. Malkovich
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Correspondence to Evgeny G. Malkovich.

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Malkovich, E.G. Dialectics as Dynamics of Non-conservative Systems. Axiomathes 32 (Suppl 2), 485–498 (2022). https://doi.org/10.1007/s10516-021-09615-x

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  • DOI: https://doi.org/10.1007/s10516-021-09615-x

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