“Everyone wants to understand painting. Why don't they try to understand the song of the birds? Why do they love a night, a flower, everything which surrounds man, without attempting to understand them? Whereas where painting is concerned, they want to understand. Let them understand above all that the artist works from necessity; that he, too, is a minute element of the world to whom one should ascribe no more importance than so many things in nature which charm us but which we do not explain to ourselves. Those who attempt to explain a picture are on the wrong track most of the time. Gertrude Stein, overjoyed, told me some time ago that she had finally understood what my picture represented: three musicians. It was a still life!!”

Black Boy (1945)

On an article by Qunta magazine(when asked: Is there one big question that has always guided you?) https://www.quantamagazine.org/michael-atiyahs-mathematical-dreams-20160303
Context: I always want to try to understand why things work. I’m not interested in getting a formula without knowing what it means. I always try to dig behind the scenes, so if I have a formula, I understand why it’s there. And understanding is a very difficult notion. People think mathematics begins when you write down a theorem followed by a proof. That’s not the beginning, that’s the end. For me the creative place in mathematics comes before you start to put things down on paper, before you try to write a formula. You picture various things, you turn them over in your mind. You’re trying to create, just as a musician is trying to create music, or a poet. There are no rules laid down. You have to do it your own way. But at the end, just as a composer has to put it down on paper, you have to write things down. But the most important stage is understanding. A proof by itself doesn’t give you understanding. You can have a long proof and no idea at the end of why it works. But to understand why it works, you have to have a kind of gut reaction to the thing. You’ve got to feel it.

VII, 30
Meditations (c. 121–180 AD), Book VII
Context: Direct thy attention to what is said. Let thy understanding enter into the things that are doing and the things which do them.

Source: A Wrinkle in Time

Unsourced variant translation: I paint my pictures with such judgment as I have and as seems fitting.
Testimony to the Inquisition, (1573)

Quoted in Henry More: The Rational Theology of a Cambridge Plattonist (1962) by Rabbi Aharon Lichtenstein, page 100.

Source: Aesthetics and Hermeneutics (1964), p. 101 http://books.google.com/books?id=7RP-TggufEEC&pg=PA101
Context: We cannot understand without wanting to understand, that is, without wanting to let something be said. It would be an inadmissible abstraction to contend that we must first have achieved a contemporaneousness with the author or the original reader by means of a reconstruction of his historical horizon before we could begin to grasp the meaning of what is said. A kind of anticipation of meaning guides the effort to understand from the very beginning.

“What is liberal education,” p. 8
Liberalism Ancient and Modern (1968)

Source: How to Win Friends & Influence People