Universities also teach philosophy, and it isn't science either.
Of course, as we can see from the Philosophy of Science courses, that philosophy is actually more important than science, because philosophy is more meta.
That is to say, without philosophy you wouldn't know which approaches to doing science were better than others.
To solve that, you'd need to invent a "science of science", or a "science of thinking about science", or a "science of knowing stuff"...
...at which point you're simply reinventing the epistemological wheel as it were.
Also, universities teach art, medicine and architecture, all of which (or so I've been told) have some marginal redeeming value.
Of course, as we can see from the Philosophy of Science courses, that philosophy is actually more important than science, because philosophy is more meta.
That is to say, without philosophy you wouldn't know which approaches to doing science were better than others.
To solve that, you'd need to invent a "science of science", or a "science of thinking about science", or a "science of knowing stuff"...
...at which point you're simply reinventing the epistemological wheel as it were.
Also, universities teach art, medicine and architecture, all of which (or so I've been told) have some marginal redeeming value.