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Open AccessArticle

MES: A Mathematical Model for the Revival of Natural Philosophy

1
Faculté des Sciences, Mathématiques, LAMFA, Université de Picardie Jules Verne, 33 rue Saint-Leu, F-80039 Amiens, France
2
Independent Researcher (Geriatrician), 80000 Amiens, France
*
Author to whom correspondence should be addressed.
Philosophies 2019, 4(1), 9; https://doi.org/10.3390/philosophies4010009
Received: 20 December 2018 / Revised: 15 February 2019 / Accepted: 18 February 2019 / Published: 22 February 2019
(This article belongs to the Special Issue Contemporary Natural Philosophy and Philosophies - Part 1)
The different kinds of knowledge which were connected in Natural Philosophy (NP) have been later separated. The real separation came when Physics took its individuality and developed specific mathematical models, such as dynamic systems. These models are not adapted to an integral study of living systems, by which we mean evolutionary multi-level, multi-agent, and multi-temporality self-organized systems, such as biological, social, or cognitive systems. For them, the physical models can only be applied to the local dynamic of each co-regulator agent, but not to the global dynamic intertwining these partial dynamics. To ‘revive’ NP, we present the Memory Evolutive Systems (MES) methodology which is based on a ‘dynamic’ Category Theory; it proposes an info-computational model for living systems. Among the main results: (i) a mathematical translation of the part–whole problem (using the categorical operation colimit) which shows how the different interpretations of the problem support diverging philosophical positions, from reductionism to emergentism and holism; (ii) an explanation of the emergence, over time, of structures and processes of increasing complexity order, through successive ‘complexification processes’. We conclude that MES provides an emergentist-reductionism model and we discuss the different meanings of the concept of emergence depending on the context and the observer, as well as its relations with anticipation and creativity. View Full-Text
Keywords: category theory; memory evolutive system; emergence; emergentist reductionism; anticipation; creativity; info-computational model category theory; memory evolutive system; emergence; emergentist reductionism; anticipation; creativity; info-computational model
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Ehresmann, A.; Vanbremeersch, J.-P. MES: A Mathematical Model for the Revival of Natural Philosophy. Philosophies 2019, 4, 9.

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