Now that I think about it, I care both about those currently living and about humanity itself, but with a small but non-zero discount rate (of the order of the reciprocal of the time humanity has existed so far). Also, I value humanity not only genetically but also memetically, so having people with human genome but Palaeolithic technocultural level surviving would be only slightly better for me than no-one surviving at all.
Why does SI/LW focus so much on AI-FOOM disaster, with apparently much less concern for things like
Why, for example, is lukeprog's strategy sequence titled "AI Risk and Opportunity", instead of "The Singularity, Risks and Opportunities"? Doesn't it seem strange to assume that both the risks and opportunities must be AI related, before the analysis even begins? Given our current state of knowledge, I don't see how we can make such conclusions with any confidence even after a thorough analysis.
SI/LW sometimes gives the impression of being a doomsday cult, and it would help if we didn't concentrate so much on a particular doomsday scenario. (Are there any doomsday cults that say "doom is probably coming, we're not sure how but here are some likely possibilities"?)