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JoshuaZ comments on Open Thread: July 2010, Part 2 - Less Wrong
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The only problem with that seems to be that when people talk about emergent behavior they seem to be more often than not talking about "emergence" as a property of the territory, not a property of the map. So for example, someone says that "AI will require emergent behavior"- that's a claim about the territory. Your definition of emergence seems like a reasonable and potentially useful one but one would need to be careful that the common connotations don't cause confusion.
I agree. But given that outsiders use the term all the time, and given that they can point to a reasonably large cluster of things (which are adequately contained in the definition I offered), it might be more helpful to say that emergence is a statement of a known unknown (in particular, a missing reduction between levels) than to refuse to use the term entirely, which can appear to be ignoring phenomena.