Let’s start with what is the Fermi paradox.
The Fermi paradox is the conflict between the lack of clear, obvious evidence for extraterrestrial life and various high estimates for their existence. As a 2015 article put it, “If life is so easy, someone from somewhere must have come calling by now.”
The Fermi Paradox refers to the dichotomy between the high probability that extraterrestrial intelligence exists and the fact that we have no evidence for such aliens.
This prompted Fermi to ask what was (to him) an obvious question: “where is everybody?” In a galaxy assumed to be filled with clever beings, why don’t we see any? This dissonance is known as the Fermi Paradox.
There’s obviously only two possible scenarios. Either aliens do not exist or aliens exist.
This paradox was described by the late British science-fiction author, Sir Arthur C. Clarke, who said: “Two possibilities exist: Either we are alone in the universe or we are not. Both are equally terrifying.”
And it’s obvious we do not have any evidence aliens exist. That’s the whole point of the Fermi paradox.
So, if aliens do not exist and there’s no evidence for them, this would simply affirm each other.
If aliens do exist and there’s no evidence for them, then you have to provide reasons for why no evidence exists. These explanations would all be speculative and there would be no evidence to support these explanations.
So, the most logical answer is no aliens exist.
Let me give an illustration. Suppose I believe a person named Jessica Galba exists. She is rich and beautiful and a godly Christian. She lives in Paris. But, she is not in the Paris phone book. She cannot be found in any government records. She has no birth certificate. She does not show up in any Google search. Further, I believe she is secretly in love with me. However, she has not communicated with me in any form (telephone, email, post card, text, etc). Which is a more logical position to hold? 1) I confidently believe Jessica Galba exists or 2) Jessica Galba does not exist.