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> I'm asking it to run a program and then do something different. That's well within the range of human abilities.

No, actually, it isn't, because that easy-sounding informal description of what you're wanting the program to do isn't accurate. (Or: If it is, then your argument saying that an AI can't do it is wrong.)

The problem is that some of those programs won't terminate, and neither the hypothetical AI nor a human being can reliably tell which ones those are. And if you don't know whether the program you're looking at is ever going to terminate, how can you reliably do something different?

This may sound like a nitpicky technical difficulty but honestly, it isn't; it's a deep fundamental flaw in the argument you're trying to make.




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