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Emergence: examples?

I'm interested in your examples of emergence, where individual components of a system make up something that wouldn't/couldn't have been predicted by analyzing the individual component alone.

How far does emergence extend?

I'm not looking for external links, just your own ideas and thoughts. (But if you know of a good discussion elsewhere, feel free to post info).

dayII 6 Dec 7
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Good idea to study chaos theory first as a grounding for emergence theory. James Gleick "Chaos." is the classic and very clear text.

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