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I think they do exist if you consider the reason Star Trek takes for why aliens don't make themselves known to us. I do not think we are at a civilizational point to join the interstellar community in dignity and peace, assuming that community exists. Therefore, the aliens let us cook and leave us alone. We aren't ready.
@asmith prove it. Life is so rare that in the vast majority of Universes similar to ours there is never any life.
@jim Shifting the burden of proof. But you have no idea how rare or not rare life is, we have sampled less than a billionth of a percent of the planets in just our observable universe, and of the ones we have studied, we aren't even 100% certain that there isn't life on the ones we've physically landed on (Mars).