Sure, everything you made sense within your frame of reference, but there are no privileged frames of reference. Indeed, proving that there are privileged frames of reference requires a privileged frame of reference and is thus an impossible philosophical act. I can't prove anything I just said, which proves my point, depending on whether you think it did or not.

Also, I've asked my philosophy professor pretty much the same question and he referred me to Hegel. I'm probably terribly misinterpreting what he said but here it is: the awareness of the impossibility of knowledge gives us some kind of meta-knowledge which somehow gets nicely dealt with, and apparently allows for at least some knowledge.

Related discussion on SSC.