Mathematical formulation of Leibnizian world: a theory of individual-whole or interior-exterior reflective systems.
Teruaki Nakagomi
Bio Systems April 2003 DOI: 10.1016/s0303-2647(02)00160-0 (opens in new tab)
Study at a glance
AI-extracted from the abstract| Characteristics | Theoretical or philosophical paper Peer reviewed |
|---|---|
| Key points | Proposes a mathematical axiomatic world model based on Leibniz's monadology, in which conscious individuals with internal worlds communicate to form a unified whole that is reflected into each as an external world. Argues this structure appears in bio- and socio-systems, computer networks, and quantum physics, and that the model can evolve a hierarchy of monadological systems corresponding to levels of consciousness. |
Abstract
A world model, suggested by Leibniz's monadology, is formulated as a mathematical axiomatic system. The purpose of this world model is to provide a general scheme for describing a system of individuals having consciousness or internal worlds that communicate with each other and make a unified whole world, and moreover, the latter is reflected into the respective internal worlds and appears as an external world. Examples of such monadological structure of interior-exterior (or individual-whole) reflection can be observed in bio- or socio-systems and recently in computer networks. Moreover, a most elemental version of this structure can be found in the basic level of quantum physics. The model not only gives a prototype of monadological systems but also has an evolutionary ability to produce a hierarchy of monadological systems, which are interpreted as corresponding to various levels of consciousness.