Symmetry / Asymmetry




Symmetry     -    Asymmetry




An important secondary principle is symmetry-breaking.

If the initial state of the system is fully homogeneous, the evolving structure could be too symmetrical. This will inhibit the development of complex structure. Symmetry-breaking is usually achieved spontaneously by means of missing or incorrect connections (or other happenings of chance), as well as by the non-linearity of the system and the resulting sensitivity to small fluctuations.

The brain is pre-structured in a way that is general and non-specific, but with enough differentiation (i.e. enough asymmetry) to allow external influences a 'foothold'.

[Paul Cilliers]
Complexity and Postmodernism, p.95, 103





Non-linearity is a precondition for complexity, especially where self-organisation, dynamic adaptation and evolution are at stake. Closely related to the principle of non-linearity is the principle of asymmetry.

Linear, symmetrical relationships give rise to simple systems with transparent structures. In complex systems, mechanisms have to be found to break symmetry and to exploit the magnifying power of non-linearity. This is ensured by a rich level of interaction and by the competition for resources.

The social system is non-linear and asymmetrical as well. The same piece of information has different effects on different individuals, and small causes can have large effects. The competitive nature of social systems is often regulated by relations of power, ensuring an asymmetrical system of relationships. This, it must be emphasised strongly, is not an argument in favour of relations of domination or exploitation. The argument is merely one for the acknowledgement of complexity.

Non-linearity, asymmetry, power and competition are inevitable components of complex systems. It is what keeps them going, their engine. If there were a symmetrical relationship between infants and adults, infants would never survive. If there were a symmetrical relationship between teacher and student, the student would never learn anything new. If the state had no power, it would have no reason to exist. If women and men were all the same, our world would be infinitely less interesting.

These considerations have important implications for social theory. The fact that society is held together by asymmetrical relations of power does not mean that these relationships are never exploited. To the contrary, they are continuously exploited by parents, by lecturers, by the state and by men, but also by children, by students, by citizens and by women.

The point is that the solution to these forms of exploitation does not lie in some symmetrical space where power is distributed evenly. Such spaces cannot exist in complex systems that are driven by non-linearity. The hope that such spaces could be created in any enduring fashion is false.

To combat exploitation, there is only one option: you have to enter into the agonistics of the network. Since this approach does in no way guarantee success, there is very little moral high ground to be had, whether one rejects the abstract rules of modernist ethics or not.

[Paul Cilliers]
Complexity and Postmodernism, p.120



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