The search for knowledge (Science) continues in many areas. I
feel as long as life exists no matter it's form will continue
to gain gain Knowledge to improve it's existance. It may not
be conscious knowledge, but even genetic strands hold information
about the past.
The study of the material universe requires people coming up
with new theories and ways to test them. If life persists long
enough, then all knowledge should be learned. But I imagine the
visible universe will likely become dust before that happens.
As we know those who search for knowlege find more questions
than they do answers.