To what extent does your caring about the future depend upon you being there to experience it?
Then my next question would be, how important is your identity to this value? For example, do you have a strong preference whether it is "you" that gains more and more knowledge of the universe, or any other mind?
I might change my mind in the future, but right now my answers are "to a large extent" and "pretty important".
Why do you care what my values are, though, or why they are what they are? I find it fascinating that "value-seeking" is a common behavior among rationalist-wannabes (and I'm as guilty of it as anyone). It's almost as if the most precious resource in this universe isn't negentropy, but values.
ETA: I see you just answered this in your reply to Adelene Dawner:
...I wanted to further qualify how Wei Dai values knowledge,
An uplifting message as we enter the new year, quoted from Edge.org:
A few thoughts: when considering the heavy skepticism that the singularity hypothesis receives, it is important to remember that there is a much weaker hypothesis, highlighted here by Tegmark, that still has extremely counter-intuitive implications about our place in spacetime; one might call it the bottleneck hypothesis - the hypothesis that 21st century humanity occupies a pivotal place in the evolution of the universe, simply because we may well be a part of the small space/time window during which it is decided whether earth-originating life will colonize the universe or not.
The bottleneck hypothesis is weaker than the singularity hypothesis - we can be at the bottleneck even if smarter-than-human AI is impossible or extremely impractical, but if smarter-than-human AI is possible and reasonably practical, then we are surely at the bottleneck of the universe. The bottleneck hypothesis is based upon less controversial science than the singularity hypothesis, and is robust to different assumptions about what is feasible in an engineering sense (AI/no AI, ems/no ems, nuclear rockets/generation ships/cryonics advances, etc) so might be accepted by a larger number of people.
Related is Hanson's "Dream Time" idea.