So yes, (some) science is expensive, but universities also profit from it.
Math is only limited by computer power, and our own personal mental computing power. Computer science, similarly. Those two fields are different from the rest of science as we know it today.
But there's a lot of work to be done in making sense of that data. It doesn't cost anything to play with data that's already been collected.
The biggest breakthroughs come from people thinking differently.
Meanwhile, the expensive parts - i.e. all the applied physics needed to prove or disprove theoretical physics, is not receiving appropriate funding.
But I like how Brenner provides an environment for scientists to basically do what they want. Some of them eventually get projects funded, but it's important to have that first stage in which people have the freedom to explore.
A basic income can provide that freedom for everyone.
The problem is that science nowadays is expensive. We've past the days where scientits can preform chemistry experiments in their garage, most science requires heavily specialized equipment, years of preparation, and/or lots of people.
I don't see a clear way to fix this problem. The projects that have the clearest ROI will continue to get funded first.