Courtesy of John Adams:

<<There is not much Satisfaction in the study of Mankind to a benevolent Mind. It is a new Moon, Nineteen Twentyeths of it opaque and unenlightened.>>

opaque and unenlightened - The crazy hope of those who feel attracted by science is to reduce this opacity. But in doing so, it is often simply shifted about. Witness the recent trend away from sociology and back to genetics.

I'm not sure how that's a mathematical puzzle, but it's an interesting quote.

The Capitalized Words Have 57 Letters.
but the lower case words have 60 letters.

57/60 = 95% 95%= 19/20

So now has the "Nineteen Twentyeth" that was opaque and enlightened become transparent and enlightened?

Ahh I see.