Dialectics as Dynamics of Non-conservative Systems

被引：0
|
作者：
Evgeny G. Malkovich
机构：
[1] Sobolev Institute of Mathematics,
[2] Novosibirsk State University,undefined
来源：
Axiomathes | 2022年 / 32卷
关键词：
Dialectics; Mathematical model; Negation; Contradiction; Non-conservative system; Interdisciplinary model;
D O I：
暂无
中图分类号：
学科分类号：
摘要：
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.
引用
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页码：485 / 498
页数：13
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