@Octavious, well, first of all, it's hardly true that people only spend money on unknown propositions if they can prove a proposition either way. Look at all the money we pour into measuring the curvature of space. We can never really hope to show that it's flat for sure, yet we keep spending vast quantities of money to rule out ever better that it's particularly hyperbolic.
As I've said, though, I'm kind of losing my interest in discussing what NASA believes, since the reasons for believing something are a lot more interesting. So let's move on to that. First, I am not claiming that there is life only on earth. I'm only claiming that we don't know, and don't have any reason to say it's overwhelmingly likely that there is intelligent life elsewhere.
So, on to your reason:
"They believe, semck, because the universe is bloody big and contains countless numbers of giant hot things that pump energy on to orbiting rocks very similar to the one we're sat on that is crawling with life."
OK, well, here's the thing. We don't know whether life being pumped onto a planet is sufficient to create life or not, or what the probability is that that will happen if you pump life onto such a rock. We have no scientific idea better than a guess, actually, as to how life started here, so we don't even have a credible surmise as to the probability. So we're familiar with exactly ONE such planet where life does exist, and from this you want to deduce a law? Based on what? It could have been the most improbable thing that ever happened! Its improbabilty might precisely balance how many planets there are. Ditto for eukaryotic life, etc., etc. None of this stuff is understood.
Saying "We don't know" about stuff that we haven't observed and don't understand is just good science. We haven't observed intelligent alien life, we don't know how life arose here or what the probability was (or how that compares to the number of planets), so we just have no way of calculating the probability that it exists elsewhere.