Eliezer_Yudkowsky comments on The Futility of Emergence - Less Wrong
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You do seem to be rising to the challenge. So here's the next questions:
1) Is the property you've described objective or subjective? Are you talking about the thing itself, or a perspective you have on it?
2) If subjective, does the perspective describe ignorance, or knowledge?
3) You can define the set of left-handed red-haired Canadian women, but this set probably does not have any interesting properties that can be inferred from it beyond the definition itself. What can you infer once you say that something is emergent?