One possible answer is that any given mathematical field doesn’t have to provide any useful insights into reality, and a lot of them have only provided insight after they already existed. This happens because theoretical mathematicians usually are into mathematics because they really like mathematics, not because they want to provide useful insights into reality, although when it happens is a nice side benefit.
One possible answer is that any given mathematical field doesn’t have to provide any useful insights into reality, and a lot of them have only provided insight after they already existed. This happens because theoretical mathematicians usually are into mathematics because they really like mathematics, not because they want to provide useful insights into reality, although when it happens is a nice side benefit.