Phil's on Vacation #3
Actually, you don't need the Absolute Infinite to make you dizzy. You don't even need an infinite number. Eliezer Yudkowsky demonstrates the mind-blowing properties of a really big ( I mean REALLY big) finite number.)
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Actually, you don't need the Absolute Infinite to make you dizzy. You don't even need an infinite number. Eliezer Yudkowsky demonstrates the mind-blowing properties of a really big ( I mean REALLY big) finite number.)
Comments
In the article, he wrote:
Why was all of this necessary, mathematical aesthetics aside? Because until you understand the hollowness of the words "infinity", "large" and "transhuman", you cannot appreciate the Singularity. Even appreciating the Singularity is as far beyond us as visualizing Graham's number is to a chimpanzee. Farther beyond us than that. No human analogies will ever be able to describe the Singularity, because we are only human.
Nonsense. I think it would be easier to comprehend the entire known universe converted into a single, highly efficient intelligence than it would be to contemplate Graham's number. After all, with the latter, all you have is that it is a big number (human language being inadequate to describe the degree of bigness) with a particular algorithm for generating it while you can appreciate some of the fundamental problems of being a universe scale intelligence even if you're not one yourself. And maybe think of a couple of ways to do it, no less.
Further, it's not clear to me that an intelligence universe would have a need for a number as big as Graham's number. With it's greater intelligence, it might never need to contemplate mathematical proofs that use numbers that big. That's how big Graham's number really is.
Posted by: Karl Hallowell
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May 25, 2006 09:47 AM