Seems to me that mathematics even more so than science except perhaps physics is especially advanced by such personal revelations. Mathematicians and physicists deal in theory and universals all the time.
As Wigner observed, mathematics is unreasonably effective in the sciences.
My favorite example is Reimannian geometry which was developed with no application for it. The geometry was envisioned in the mind of Georg Friedrich Bernhard Riemann and he described it, mathematically. And yet Einstein was able to pull Reimannian geometry off-the-shelf to describe the structure of space/time, i.e. general relativity.
And there is the example of Newton conceiving his mechanics, then developing the math to describe/mathematically express it. It always puts me in awe of the whole sheebang when I consider these sorts of examples. I find I wish I had the math background to express my ‘new paradigm’ for reality, my dimensions and variables and continua notion which considers life as sourced in a distinct dimension as real as space or time, and spirit sourced in a dimension as real as the others. It would make mathematical the concept of higher order beings, like humans, and Angels, etc.