You can't choose facts. So, it's not so much that we need to solve a problem. Discovery is more about creating problems that didn't exist before as much as solving old problems.
The more you know.
What do you mean by "You can't choose facts."? I can't? You can't? One can't? There aren't any to choose from?
So what has been discovered via bitcoin that wasn't already known? What non-trivial problems has it created?
All good questions. If I knew what is not yet known, I would be prescient. Science rejecting the useless facts is how we find the solutions to problems whether we have already discovered them or not.
Bitcoin is not just money. It is also a fundamentally new instrument for measuring social interactions. You have to wonder what the inventor of the microscope thought he might discover.
This discussion is too deep to continue until I get some beers.