Cybernetic causality: A unitary theory of causal recursion in natural and social systems
type: Item
instance of: scholarly article
title: Cybernetic causality: A unitary theory of causal recursion in natural and social systems
zbMATH Open document ID: 0592.93001
DOI: 10.1016/0165-4896(85)90030-7
author: Arvid Aulin
published in: Mathematical Social Sciences
publication date: 1985-01-01T00:00:00Z
review text: This is the first in a series of three articles [the rest are to appear in Math. Soc. Sci. 13 (1986-87)] aiming at rigorous definitions of self- steering, self-regulation and other cybernetic categories of goal- directed dynamical systems in terms of modern dynamics. They will be based on a topological analysis of the fields of trajectories generated by time-transitive continuous functions \(F: E\times R\to E\), and generalized by means of the t to \(t+1\) maps \(\phi\) to discontinuous cases. But topological tools will be applied later, in the second paper. In the present article only preliminary distinctions, between nilpotent and full causal recursions \(\phi\), between two types of self-organization (due to Ashby and Prigogine, resp.), and between self-steering and self- regulation are made. The roles of the concept of causal recursion (in distinction from causal law and causal relation) in the fundamental theory of classical and quantum physics are pointed out. Every natural system can be assumed to have causal recursion in a complete state description.
Mathematics Subject Classification ID: 93A05
Mathematics Subject Classification ID: 68T05
Mathematics Subject Classification ID: 91D99
Mathematics Subject Classification ID: 93A10
Mathematics Subject Classification ID: 93C10
zbMATH DE Number: 3952573
zbMATH Keywords: self-steering
zbMATH Keywords: self-regulation
zbMATH Keywords: goal-directed dynamical systems
zbMATH Keywords: nilpotent and full causal recursions
MaRDI profile type: Publication
full work available at URL: 0165-4896(85)90030-7
OpenAlex ID: W1999701848
cites work: Q5599475
cites work: THE LAW OF REQUISITE HIERARCHY
cites work: Q5511905
cites work: Q4138569
description: scientific article; zbMATH DE number 3952573