Death and induction problem
The induction problem is not equivalent to the problem of death. The induction problem cannot guarantee one tomorrow, or future, whereas the end-of-life problem indicates you know the future, which is death by any possible or impossible scenario.
Both problems deal with the future. Negligence in both of the problems deludes you in your present.
The induction problem is based upon the death problem. The very fact that one cannot extrapolate in the future stems from dying out: