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In these notes we review emergent phenomena in complex systems, emphasizingways to identify potential underlying universal mechanisms that generatescomplexity. The discussion is centered around the emergence of collectivebehavior in dynamical systems when they are poised near a critical point of aphase transition, either by tuning or by self-organization. We then argue therationale for our proposal that the brain is naturally poised near criticalityreviewing recent results as well as the implications of this view of thefunctioning brain.

Emergent complexity: what uphill analysis or downhill invention can not do