From my list on mathematical approaches to complex systems.

## Why are we passionate about this?

An accident of professional life led us, Jean-Paul Vanbremeersch and Andrée Ehresmann, to meet in 1979. Jean-Paul was then a young physician who was also interested in problems of emergence and complexity. Andrée was a mathematician working in Analysis and, more recently, in Category Theory with Charles Ehresmann (her late husband). With Charles, she shared the idea that: “a category theory approach could open a wealth of possibilities to the understanding of complex processes of any kind.”This idea appealed to Jean-Paul who suggested that we both try applying it to problems of emergence, complexity, and cognition. It led to our 40 years old development of MES.

## Andrée and Jean-Paul's book list on mathematical approaches to complex systems

### Why did Andrée and Jean-Paul love this book?

The first three books contributed to the development of new categorical notions for our MES theory. Our fourth book takes a different turn, narrating the tale of an austere order of intellectuals secluded in Castalia, where they essentially engage in the cultivation and play of the Glass Bead Game. This game represents an abstract synthesis of all arts and sciences, stimulating creativity.

From what is said about the rules of the game, and in terms of Margareth Boden (well known for her research on creativity and A.I. ), this game satisfies Boden’s rules for combinatory and exploratory creativity but not for transformational one. We posed the mathematical challenge of modifying the game's rules to enable transformational creativity and, utilizing MES; we gave conditions for this to become possible.

3 authors picked The Glass Bead Game as one of their favorite books, and they share why you should read it.

The Glass Bead Game is an ultra-aesthetic game which is played by the scholars, creamed off in childhood and nurtured in elite schools, in the province of Castalia. The Master of the Glass Bead Game, Joseph Knecht, holds the most exalted office in Castalia. He personifies the detachment, serenity and aesthetic vision which reward a life dedicated to perfection of the intellect. But can, indeed should, man live isolated from hunger, family, children, women, in a perfect world where passions are tamed by meditation, where academic discipline and order are paramount? This is Herman Hesse’s great novel. It is a…

- Coming soon!