Creation of Man (Introduction)
To me, it is not a question of whether or not that they could exist. It is certainly a possibility. The question is whether or not they could have traveled here from wherever they are from. As David pointed out, it is a very, very long way to travel, even to our nearest neighbor. All science fiction aside, we have not witnessed anything outside of quantum mechanics that moves faster than light.
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What is the purpose of living? How about, 'to reduce needless suffering. It seems to me to be a worthy purpose.