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Eugine_Nier comments on [Link] A superintelligent solution to the Fermi paradox - Less Wrong
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I guess you're distantly alluding to the old discussion of 'what would AIXI do if it ran into a hypercomputing oracle?' in modern guise. I'm afraid I know too little about TDT or UDT to appreciate the point. It just seems a little far-fetched - so not only are we thinking about hypercomputation, which I believe is generally regarded as being orders of magnitude less likely than say P=NP, we're also thinking about a superintelligent and superpowerful agent with a decision theory that just happens to be broken in the right way?
If we were being mined for our computational potential, I can't help but feel human lives ought to be less repetitive than they are.
Um, you do realize you're comparing apples and oranges there, since one is a statement about physics and the other a statement about mathematics.
In this area, I do not think there is such a hard and fast distinction.
So, how would you phrase the existence of hypercomputation as a mathematical statement?
Presumably something involving recursively enumerable functions...
As someone who understands computational theory, I strongly suspect you're seriously confused about how computational complexity theory works. As I don't have the time or interest to give a course in computational complexity, might I recommend asking the original question on mathoverflow if you are interested.
Apologies if that came off as rude.