Philosophy-Guided Mathematical Formalism for Complex Systems Modelling
- URL: http://arxiv.org/abs/2005.01192v5
- Date: Fri, 29 Jul 2022 14:13:29 GMT
- Title: Philosophy-Guided Mathematical Formalism for Complex Systems Modelling
- Authors: Patrik Christen and Olivier Del Fabbro
- Abstract summary: We recently presented the so-called allagmatic method, which includes a system metamodel.
A mathematical formalism is presented to better describe and define the system metamodel of the allagmatic method.
- Score: 0.0
- License: http://creativecommons.org/licenses/by-nc-sa/4.0/
- Abstract: We recently presented the so-called allagmatic method, which includes a
system metamodel providing a framework for describing, modelling, simulating,
and interpreting complex systems. Its development and programming was guided by
philosophy, especially by Gilbert Simondon's philosophy of individuation,
Alfred North Whitehead's philosophy of organism, and concepts from cybernetics.
Here, a mathematical formalism is presented to better describe and define the
system metamodel of the allagmatic method, thereby further generalising it and
extending its reach to a more formal treatment and allowing more theoretical
studies. By using the formalism, an example for such a further study is
provided with mathematical definitions and proofs for model creation and
equivalence of cellular automata and artificial neural networks.
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