To be specific, I'm referring to physical reality. Moreover, this question might seem awkward at first glimpse. Well, it does not appear that there are any meaningful relations between the end of the Universe and the knowledge we seek about it.
After thinking more about it, though, one can consider such a question from the perspective of someone experiencing the end of the Universe: how would this individual conceive all of the knowledge obtained about physical reality until that moment?
This might be a way of interpreting this question. But in first place, why could it be a problem?