Can someone here explain Graham's number?

[Rymmen]

It looks interesting, but the mathematics are above what I've studied or can contemplate at the moment.

 

[Dantediv86]

42!!!!!

 

[maxfreakout]

it's a BIG number

far too large for the human mind to grasp

1. 3^3 = 27

2. 3^^^^^^^^^^^^^^^^^^^^^^^^^^^3 = some unfathomably large number


Graham's number is the 63rd term in this series iirc

 

[tryptonaut]

As far as I understand the wikipedia description of it, it can be described as "approximately infinite". I really don't grasp the difference between "infinite" and "Graham's Number" because it's supposed to be too high to be described with standard mathematical notation - so why not just leave it alone and say it's "almost infinite"?
Humans can't grasp "infinitely large" I think, so there's no point in trying to understand "close to infinitely large". Just thinking it's unbelievably large is enough for me