Dialectics as Dynamics of Non-conservative Systems

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Dialectics as Dynamics of Non-conservative Systems. / Malkovich, Evgeny G.

In: Axiomathes, Vol. 32, 12.2022, p. 485-498.

Research output: Contribution to journal › Article › peer-review

Harvard

Malkovich, EG 2022, 'Dialectics as Dynamics of Non-conservative Systems', Axiomathes, vol. 32, pp. 485-498. https://doi.org/10.1007/s10516-021-09615-x

APA

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

Vancouver

Malkovich EG. Dialectics as Dynamics of Non-conservative Systems. Axiomathes. 2022 Dec;32:485-498. doi: 10.1007/s10516-021-09615-x

Author

Malkovich, Evgeny G. / Dialectics as Dynamics of Non-conservative Systems. In: Axiomathes. 2022 ; Vol. 32. pp. 485-498.

BibTeX

@article{279c35def78e478eb77b1282c69cc232,

title = "Dialectics as Dynamics of Non-conservative Systems",

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.",

keywords = "Contradiction, Dialectics, Interdisciplinary model, Mathematical model, Negation, Non-conservative system",

author = "Malkovich, {Evgeny G.}",

note = "Publisher Copyright: {\textcopyright} 2022, The Author(s), under exclusive licence to Springer Nature B.V.",

year = "2022",

month = dec,

doi = "10.1007/s10516-021-09615-x",

language = "English",

volume = "32",

pages = "485--498",

journal = "Axiomathes",

issn = "1122-1151",

publisher = "Springer Science and Business Media B.V.",

}

RIS

TY - JOUR

T1 - Dialectics as Dynamics of Non-conservative Systems

AU - Malkovich, Evgeny G.

PY - 2022/12

Y1 - 2022/12

N2 - 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.

AB - 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.

KW - Contradiction

KW - Dialectics

KW - Interdisciplinary model

KW - Mathematical model

KW - Negation

KW - Non-conservative system

UR - http://www.scopus.com/inward/record.url?scp=85124234193&partnerID=8YFLogxK

U2 - 10.1007/s10516-021-09615-x

DO - 10.1007/s10516-021-09615-x

M3 - Article

AN - SCOPUS:85124234193

VL - 32

SP - 485

EP - 498

JO - Axiomathes

JF - Axiomathes

SN - 1122-1151

ER -

ID: 35541320