Human extinction is something generally deemed as undesirable, although some scholars view it as a potential solution to the problems of the Earth since it would reduce the moral evil and the suffering that are brought about by humans. We contend that humans collectively have absolute intrinsic value as sentient, conscious and rational entities, and we should preserve them from extinction. However, severe threats, such as climate change and incurable viruses, might push humanity to the brink of extinction. Should that (...) occur, it might be useful to envision a successor to humans able to preserve and hand down its value. One option would be to resort to humanoid robots that reproduce our salient characteristics by imitation, thanks to AI powered by machine learning. However, the question would arise of how to select the characteristics needed for our successors to thrive. This could prove to be particularly challenging. A way out might come from an algorithm entrusted with this choice. In fact, an algorithmic selection both at the social and at the individual level could be a preferred choice than other traditional ways of making decisions. In this sense, reflecting on human extinction helps us to identify solutions that are also suitable for the problems we face today. (shrink)