> Of course, the above assumes that risk of death from injury won't drop as medical technologies improve, which is wrong, but as long as it's non-zero, there is still going to be a statistical limit on the length of life. No hanging around till the heat death of the universe for you.
Technically, this is not correct.
If your chance of dying drops exponentially (perhaps not very realistic, hence 'technically'), your probability of survival converges to something greater than 0.
Technically, this is not correct.
If your chance of dying drops exponentially (perhaps not very realistic, hence 'technically'), your probability of survival converges to something greater than 0.
E.g.: If your probability of dying in the first year is 1/2, then 1/4, then 1/8 and so on, then your probability of living forever is roughly 29 % ( https://www.wolframalpha.com/input/?i=product+i%3D1+to+infin... )