Anyone who is aware of results in a branch of mathematics called Ramsey theory will be completely underwhelmed by arguments that purport the universe is so large and so old that there must be life elsewhere.
Ramsey theory deals precisely with the inevitability of ordered subsystems in sufficiently large arbitrary systems (thus including both genuinely random systems, and those constructed precisely to avoid the ordered subsystem specified). The reason this branch of mathematics (which seems from its subject matter to be purpose built to support such arguments) gives no comfort to such argumentation is the rate at which the size of the arbitrary system has to increase to make larger and larger specified ordered subsystems — or more and more rigidly ordered subsystems — provably inevitable. Proofs sometimes involve numbers so huge their binary expansion could not be inscribed on the observable universe with one bit per Planck volume.
HOLY...!
Kinda forces one to conclude this must be a "fine-tuned" universe, huh? :)
The evidence for a Creator is overwhelming.
The ancient Greeks also proved that motion is impossible, since to travel any given distance, one must first go half that distance and so on, never actually getting to any destination ...
Ain’t numbers fun?