Complexity Theory
by Lorenzo Casson
1. Mathematical Models
1.1. To undestand how the things work (General principles)
1.2. To make predictions
1.3. To develop strategies
2. Related Concepts
2.1. Chaos Theory
2.1.1. Lorenz, The Butterfly Effect
2.1.1.1. Sensitivity to Initial Conditions
2.2. Adaptation Theory
2.2.1. Santa Fe Institute
2.3. Emergence
2.3.1. When the system does things on the system scale which you would not be able to predict the components in the way they interact
2.3.1.1. Neurons, Nerves, Human Brain: Consciousness
3. Foundations
3.1. Ilya Prigogine, 1977, Nobel in Chemistry, Theory: it is possible to create order from disorder
3.1.1. New unexpected consequences of this theory on other fields such as biology, economics, etc.
3.1.1.1. It tries to explain the behaviour of complex systems
3.1.1.1.1. City Traffic
3.1.1.1.2. Ant Colony
3.1.1.1.3. Flocks of Birds
3.1.1.1.4. Epidemics
3.1.1.1.5. Social Systems
3.1.1.1.6. International Politics
3.1.1.1.7. Economy