1. Emergent?
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A Snowflake's form
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A Tree's form
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A Sentence's form
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Infectious-disease epidemics
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Emergent diseases
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Traffic jams
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Economic bubbles
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Chess
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Ants "computing" shortest paths to food
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Geese flying in a V
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Heat (molecules bouncing around)
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A marching band (music, and patterns of rows/columns)
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Everything
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Conway's Game of Life
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The macroscopic properties of water
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Chaos
2. Conjectures
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Emergence requires randomness/chaos.
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Emergence requires stigmergy.
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Emergence requires discrete time and/or discrete space.
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Emergence is only special because of our limited cognitive capacity.
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Emergence requires simple interacting pieces (agents).
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The more intelligent the agent, the less useful it will be in an emergent phenomenon.
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Emergence requires irrational agents. They must do things for which they do not understand.
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Emergent systems tend to spinoff further levels of complexity/self-organization.
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Emergence is in the eye of the beholder. It is a pattern.
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Emergent patterns cannot be "understood" through abstractions except in broad strokes. The devil is in the details (initial starting conditions).
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True emergence requires feedback. The feedback can take many forms (stigmergy, evolution).
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Creates a whole that is really (in some quantifiable way) greater than the sum of parts.
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The study of emergence will lead to new insights in organization/computation/intelligence.
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Information theory is the correct method of study for emergent systems.
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Physics -> Chemistry -> Biology -> Sociology -> Psychology
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Everything is is just an emergent level from Physics
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Everything (real) is emergent because it really is all the same thing
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All emergent (real) phenomena stem from quantum effects
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It will be impossible to simulate this type of ever-increasing emergence with out simulated quantum effects
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Emergent phenomena can't be described easily in terms of cause and effect, as the causes are vast, and the effects of any particular effect are subtle and complex
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Emergent phenomena are not "reversable" (ie, they lose information)
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Emergent phenomena cannot be written as a closed-form equation, but can only be expressed as a recursive equation.
3. Essential properties?
| randomness | complexity |
| global pattern | local interactions |
| self-organization | phase transitions |
| discrete time/space | continuous time/space |
| requires "edge of chaos" | can appear anywhere |
| creates novel "levels" | creates novel levels of description |
| unexpected outcomes | composed of PowerLaws |
| requires feedback | requires observer |
| requires quantum effects | no special needs |
| explained by 2nd Law of Thermodynamics | can't be |
| is permitted by the 2nd Law | isn't |
| seems to go against the 2nd Law | requires a new Law |
