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AGI is the persistence of a technoscientific myth of contact with the superhuman at the heart of a secular enterprise; an allegory of faith in a disenchanted universe.
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I don't think such an arbitrary definition is useful since it would lack specificity and reduce phenotypic plasticity to a set of supposedly human-exclusive measurable objectives. The boundaries of human beings are blurry. If you want to study a brittle abstraction go on with GI.
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So your argument is that there's no GI because GI can't be defined? Hence your statement 'there's no GI' has no truth value. You don't know if it halts.
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No need to go that far into the misadventures of the first taxonomists (species, a core concept of biology is not free of problems), since there are good modern arguments on the problems of categorical definitions of cognition.
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A lot of definitions are human centric. When someone says Poker or Go is solved, that's a technical fiction; actual truth of it is merely negligible probability that a human wins against the machine. Similarly, AGI would have comparable task breadth*depth ability to human
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