Morris Kline on Leonardo da Vinci

“Incredibly endowed both physically and mentally, he achieved greatness as a linguist, botanist, zoologist, anatomist, geologist, musician, sculptor, painter, architect, inventor, and engineer. Leonardo made quite a point of distrusting the knowledge that scholars professed so dogmatically. These men of book learning he described as strutting about puffed up and pompous, adorned not by their own labors but by the labors of others whose work they merely repeated... they did not deal with the real world.”

“Reading Leonardo one finds many statements suggesting that he was a learned mathematician and a profound philosopher who worked on the level of a professional mathematician. ...To pass beyond observation and experience there was for him only one trustworthy road through deceptions and mirages—mathematics. ...On the basis of such pronouncements, no doubt, Leonardo is often credited with being a greater mathematician than he actually was. When one examines Leonardo's notebooks one realizes how little he knew of mathematics and that his approach was empirical and intuitive.”