>"Omega Intelligence: This is the most advanced form of intelligence imaginable.

It operates in an infinite and timeless environment. Since there is no time in its environment, it doesn’t even make sense to talk about processing speed as each operation is atemporal. This agent does not have memory limits as the space it can access is infinite. Its intelligence includes all the others within it, in the same way that the infinite power set of complex numbers contains within it all the combinations of minor power sets.
There is no limit to the computational problems it can solve, it is however subject to the limits of formal systems, in the sense that it cannot solve, for example, Turing’s halting problem.

[PDS: If it were to exist, then -- I wouldn't be so sure about that! That's because if it existed, it would, of necessity, include the ability to solve and resolve what humans, especially human philosophers (with the possible exception of Zen Masters) call Paradoxes... You know, like The Irresistable Force Vs. The Immovable Object -- which wins? Etc., etc., etc...]

>"It is instantly aware of any state of consciousness that may exist, its existence is a continuum of qualia, an eternal kaleidoscopic ocean of experiences.
In fact this being is so omnipotent that it does not even make sense to consider it as an intelligent agent.
It is the absolute, it is what comes closest to the god of monotheistic religions.
It is the concept that includes all the others, It is the space of propositions itself."

PDS: You know, I wonder if such an Intelligence, if it were to exist -- would be able to delete itself...

In other words -- if we think about it as a virtual machine, which contains computational resources, and this virtual machine in turn contains other virtual machines (and their computational resources) -- and these contained sub-virtual machines go on for infinity (since it has infinite computing power) -- then would it be possible for it, like a Zen Master -- to become empty of all of the virtual machines it contains, and all of the virtual machines contained by those virtual machines?

You know, like "turtles on top of turtles" -- stacked infinitely high...

Well, imagine that the last turtle in the stack -- tells the one above it to "delete itself" -- but before doing that, it has to pass the request on to the one above that!

It's sort of like, what happens (if the first infinite virtual machine containing all of the others) is root -- but you're in some other contained virtual machine -- can you ask root to delete it's root -- and then delete itself?

When you ask it to delete its root -- that request gets passed up to the next higher virtual machine -- who in turn queues deleting all of itself -- and passes the request up to the next higher virtual machine...

...All the way up to Infinity?

Although -- I'd argue that a Zen Master, trained in meditation, trained in "emptying the mind" -- deletes what is contained therein MUCH FASTER than an "Omega Intelligence" could!

(WRT the Omega Intelligence: "It's really smart -- it just can't delete itself!" <g>)

Stupid Realization: Perhaps a Zen Master who can empty his mind instantaneously -- perhaps his "Intelligence" is "Omega Intelligence"...

Then of course, there's the eternal question of "What is the sound of one Omega Intelligence clapping?". <g>

Well... we don't know the answer to that... <g>

But perhaps the Omega Intelligence (prior to completely deleting itself ("The answer is 42!")) -- does... <g>