Let's get this straight.
Impossible means probability=0
Possible means probability greater than 0
Existance means probability =1
Discussing what is possible is meaningless if the question is which of two items has greater probability.
All demands for an answer as to whether various things are possible or impossible are irrelevant.
Advanced life does exist in the universe. Conditions for life/advanced life do exist in the universe. Does it exist elsewhere besides locally? There is no logical reason to expect that conditions similar to those here do not exist elsewhere and it follows that there is no reason to expect no advanced life.
ESP cannot be shown to exist anywhere or in anyone.
Therefore, logically, the probability of advanced life other than on Earth is greater than the probability of ESP being real.
This really should have gone in the philosophy forum, because it's essentially an epistemology question. I'll go over it briefly:
All claims have a probability value attached to them. Logically impossible claims (non-green green things exist) have 0% chance of being true. Logically certain claims (I'll use math as an example, and yes I know math hasn't been reduced to logic), like 2+2=4 are given a value of 1. All other claims fall between 0 and 1. All inductive claims (i.e., science) fall between 0 and 1.
For example, take the claim "I will win the every lottery in the United States in the next ten years". Since it's logically possible for that to happen, it can't be assigned a 0. Maybe it's .000(hundred zeroes)1, but it's still possible.
Then take the claim "the Earth goes around the sun". It can't be given a 1, because there's nothing logically certain about our observations of the Earth and the Sun, and the inductive conclusions we've derived from those observations, but the claim would have a value of .9999(many 9's).
So then, the claims that ESP exist and alien life exist aren't logically impossible, or logically certain, so they must be assigned a probability to them.
Currently, the claim "alien life exists" can't be assigned a probability value, because there are at least two unknowns that we need to know: how likely is abiogenesis, and how narrow are the conditions that allow life to even be possible. I gave some examples in the opening thread.
So, if you think alien life has a high certainty, I could just a easily argue that it's so rare it probably exists on this one planet. Each of it has the same amount of evidence backing up the claim- none. In order for alien life to have a high probability, you would need to know the likelihood of abiogenesis occurring on a planet like Earth, and also all the factors that need to fall into the right place for life to be possible. Neither of us knows either of those, so we're stuck wondering if there's alien life.
However, as Red Baron pointed out, alien life exists in the set of "life", which we know exists. ESP doesn't exist in a similar set. That's a knock on ESP, because we don't know if paranormal abilities exist at all. Also, we don't know what the casual mechanism would be.
My counter to that is to point out that things we don't suspect exist often turn up existing, and I use Dark Energy and Dark Matter as examples, because they were discovered very recently, and have revolutionized our view of the universe. Before they were discovered, it would have been laughable to suggest we don't know what 95% of the universe is. Now it's taken for granted.
I can also counter by claiming the disconfirming evidence against alien life is stronger than it is, but something like the Fermi Paradox would only count against advanced alien life.
Or I can claim that the set "alien life" doesn't get any confirmation from the set "life on Earth", other than that we know alien life possibly exists, but ESP also possibly exists.