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
收藏
页码：485 / 498
页数：13
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