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Yes, I believe extraterrestrial life exists. Within our solar system it may have existed on Mars (Hellas Planitia is one location), and may exist on Europa or Enceladus.
We do have ball park numbers that can be plugged into the Drake equation.
What numbers? It's my understanding that most astronomers are skeptical of the existence of intelligent life? Why shouldn't we defer to their expertise. Why take a random equation and claim it justifies a belief in aliens? The Rare Earth Hypothesis takes an equation which it claims is counter to the Drake Equation and a superior argument.
I can find tons of research skeptical of global warming and evolution. A lot of it is decorated with fancy technical terms and complex arguments. Does that make their opinions legitimate? No. It's just throwing around nonsense. Throw enough nonsensical data at someone and if they refute you, you can always claim they need to read more of the data.
An art that's lost is knowing which experts to trust. It's someone intuitive, somewhat biased. Is there really any evidence that the scientific community holds that the existence of intelligent life is probable? Again, my limited exposure was from a single introductory astronomy course. The professor basically claimed the idea is perpetuated partially to justify funding NASA and most astronomers find the idea of intelligent life highly improbable.
Now I'm not going to claim I can trust a random professor without skepticism. However, given that the idea has historically been associated with science fiction, lunatics, et cetera, I have to air on the side of caution. Until real evidence comes forth, why believe in aliens? Simply because it would be neat, entertaining? There are plenty of things on Earth that can occupy my time.
Honestly, I think science and reality aren't objective. If the evidence suggests two conclusions, and one is more plausible, people don't care. They'll accept the less plausible conclusion because they idea of it "being true" has a high value to them. You see this all the time with religious believers. Clear evidence refutes them, but the value of their belief is higher than what they attach to the value of the evidence.
Belief in aliens gets into belief in metaphysics. With all the physicists suggesting multiple realities, who knows what exists. We could be existing in a dimension overlapping another reality. I could be killing someone by typing. Quantum suicide.
If private individuals want to investigate the existence of aliens, I say go for it. Just don't waste public money, which the United States government has done, apparently (SETI project). The evidence just isn't there to support it. And how much is mere curiosity worth to us when people are living in poverty? Who says any species we find is more intelligent than us. It's just as likely their idiots, evil, good, et cetera. I value inherent curiosity as much as anyone.
So the really curious people can investigate it, but I think seriously funding it would be equivalent of taxpayers funding a private astrologist to give the President his horoscope and warn him of omens.