Gutenberg, for example, made a breakthrough with the printing press because his earlier career as a goldsmith taught him enough metallurgy to develop movable type; Charles Babbage credited his work on silk weaving machines with helping him visualise his adding machine (with Ida Lovelace, creating the first ‘computer’).
Newton and Leibniz separately discovered calculus but the calculus they created had no rigorous basis - it took until the middle of 19th century to formulate the axiomatic system that calculus is framed in today.
So it's natural Newton would want to write his results in a form that was rigorous and unassailable. But this meant that, as Keynes says, the final form didn't bear a relationship to intuition it was taken from.
