If the universe is infinite, it has infinite resources, and can be infinitely intelligent.
But the universe seems kind of dumb. (Not reprehensibly stupid, mind you, just not infinitely intelligent.)
Questions:
Is the universe infinite?
If the universe is infinite, why does it not seem to embody the intelligence of a mind with infinite resources (AIXI)? Is it because the speed of light limits data transmission?
Or, are we just witnessing the very early universe?
Wouldn't a conscious observer picked at random in an infinite universe be likely to observe a highly intelligent universe? (I have an answer for this, but it would take up too much space and I want to hear others' thoughts.)
If the universe had infinite resources, would we be operating under constraint and would we have ethical problems that limited our development?
My opinion:
There *could* be some kind of infinite capacity to our universe that just needs to be unlocked, but currently the observable universe seems to operate under constraint. So the simplest answer is that the universe is not infinite. My guess is that the universe will become more intelligent, but that there is no saying how intelligent it will become.