I listened to Glenn Loury’s podcast the other night with guest mathematician and physicist professor Sylvester Gates. He spoke about how people take symphonies, etudes, etc., pre-existing music and try variations, make their new thing which can spill into new ideas and surprises, improvements you could say. When he lectures he asks people if they think there will be more new music next year, if there is room for it. The answer is yes there will be and always is. Then he asks will there be new math next year? He was making the point that formulas are just like pieces of music we already enjoy and can further improvise with.