"Emergence" is the most ill-posed and loosely-thrown-around idea in quasi-science, science and quasi-religion. Go rigor or go home phonies.
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I see. "Hmm, this looks complex. Complicated, even." *waves hand* "I declare a state of emergence!"
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Yes. There's a Futurama scene where the prof tries to explain some physics and Fry goes, "okay, so... magic."

