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

页码：485 / 498

页数：13