https://exoplanets.nasa.gov/news/1350/are-we-alone-in-the-un...
https://exoplanets.nasa.gov/news/1350/are-we-alone-in-the-un...
The great filter is an attempt to explain the Fermi Paradox. Fermi was there, but the paradox necessarily came after the Drake equation.
But of course you are right about the absolutely staggering number of stars in the observable universe.
I don't see how causality plays into the question at hand. The parent post didn't bet that we could interact with alien life, but if it exists at all. If it can be demonstrated that the actual universe is infinite, it will follow that alien live exist, independent of if we can interact with it.
I highly doubt the actual universe is really infinite, however. Incomprehensibly big, yes.
If you look at the history of human exploration, discovering new lands has not led to immediate settling or the establishment of long-term relationships with the locals.
If we just look at the observable universe, number of stars, number of planets, and habitats we see even in our own solar system, there are a lot of shots on goal.
Primality only applies to natural numbers, so there can't be primes between 4.0 and 6.0. There is one between 4 and 6, but that's a finite range.
No it doesn't. This is a common misunderstanding of infinity. Infinite is absolutely not the same as all.
Do we have anything better, though?
Personally I'm blown away that some parameters, like the fraction of those stars that have planets, we are able to capably plug values in for.
I really never thought we'd be able to get statistics for things like that in my lifetime.
I mean short of faster-than-light travel, I had assumed ignorantly that astronomy would be stuck more or less where it is for centuries to come.
https://cmsw.mit.edu/archives-of-the-universe-marcia-bartusi...
For example, we now know there are a huge number of planets out there, and even planets in the habitable zone. Yet we haven't found any extraterrestrial life, so that suggests maybe the other factors are smaller than we initially would have guessed.