Doomsday argument
en.wikipedia.org
en.wikipedia.org
This is a fatal flaw in the argument, and it only reveals the isolation of philosophers from the realities of everyday life.
If we achieved a basis for biological immortality, that would only mean we would all ultimately fall prey to causes of death besides age and disease, like accidents.
Let's say there's a sum of probabilities that could cause death apart from biological ones, like car and other accidents that annually claims (example) 1% of modern people. According to the Binomial Theorem, such an annual risk probability would claim 55% of people after 80 years of life.
Given that, then assuming removal of any biological limit to life span, that nonbiological factor would produce a death rate of 86% after 200 years and 98% after 400 years.
So even if we achieve immortality, we don't achieve immortality.
I think philosophers should all be forced to take a course in reality.