I agree that the word “Paradox” was some sort of hype. But I don’t think anyone believed it. Nobody plugged their best guesses for all the factors in the Drake equation, got the result that there should be millions of advanced alien races in the galaxy, of which we see no sign, and then said “Oh my God! Science, math, and even logic itself are broken!” No. They instead all started putting forward their theories as to which factor was actually much smaller than their initial best guess.
I agree that the word “Paradox” was some sort of hype. But I don’t think anyone believed it. Nobody plugged their best guesses for all the factors in the Drake equation, got the result that there should be millions of advanced alien races in the galaxy, of which we see no sign, and then said “Oh my God! Science, math, and even logic itself are broken!” No. They instead all started putting forward their theories as to which factor was actually much smaller than their initial best guess.