That's what I DID say, "average", and my reasoning is roughly the the same as wanderingsouls, except I don't consider it to be any kind of problem. The omega point, triggered inflation creating child universes, many other things we haven't even thought about... I'd estimate the probability that FAI will find practically infinite computational power around 10% or so.

And yea if I had chosen the working myself I'd probably have chosen something a bit more humble that I actually can comprehend, like a gogolplex, but 3^^^3 is the standard "incomprehensibly large number" used here, and I'm just using it to mean "would be infinite if we could assume transfinite induction".