Math suggests nothing of the sort. Sitcom interpretation of math and wishful thinking suggests the universe is teeming with life. Actual math, partly referenced above with the mention of the Fermi paradox, suggests a far different picture. Your next sentence attempts to refute it with vague nothingness but I’m the one not arguing points? How about one example of something viable that refutes the Fermi paradox? Brownlee and Ward are hardly known. Why is that? Von Neumann anyone? You can’t make bank on crappy sci fis and sitcoms unless you ignore math.
At least you recognize that we are alone in our own galaxy. That’s a start. Keep up the objectivity. It is interesting to ponder the broken link in sitcom math but one of those numbers is a zero.