And if those don’t sound big enough, Graham’s Number is actually G64. We can’t even put into words (or numbers) just how large this number is. The quantity is actually used in Ramsey Theory, which is a branch of (confusing) mathematics dealing with conditions and orders. More specifically, it’s the upper bound to a solution in a problem dealing with Ramsey Theory. But there are bigger beasts in the wild.
If you want THE largest number out there, look no further than Rayo’s Number. It is so large it cannot even be computed by a computer. It is incredibly difficult to explain in simple terms as it deals with complex set theory and ordinals. This number has been created as a result of an MIT contest in which 2 contestants must name the largest number ever. Rayo won the contest by writing an expression so extremely complex that it cannot be described in this one article.
If you have any hope for trying to understand the expression behind Rayo’s numbers, you can grapple with it here:
http://web.mit.edu/arayo/www/bignums.html
Now you know that when a genie asks you for a wish, you should simply respond, “A Rayo’s Number of wishes”.
theoretical Physics
march 2015
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