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Applying Category Theory to Complex Systems Theory: Ehresmann's and Vanbremeersch's Memory Evolutive Systems

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If you have a question about this talk, please contact Julia Goedecke.

The attempts to understand and to predict the properties and behaviour of a system by means of the interactions of its ‘atomic’ components in various fields of science like Physics, Biology, Neuroscience, Economics, Sociology etc. has lead to the interdisciplinary science of complex systems.

What is a general theory of complex systems? There is no common agreement what the answer to this question should be. However, there are some fundamental questions such a theory should answer: How can we characterize complexity? When is a property of a complex system emergent? When is it reducible to properties of its components? How to describe the evolution of a complex system?

In this talk I want to give an introduction to Ehresmann’s and Vanbremeersch’s approach to these questions based on Category Theory as developed in their monograph ‘Memory Evolutive Systems – Hierarchy, Emergence, Cognition’.

This talk is part of the Category Theory Seminar series.

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