You know exactly what I think of photography. I would like to see it make people despise painting until something else will make photography unbearable. (In a letter to Alfred Stieglitz)

I wanted to kill art for myself.. ..a new thought for that object.

Since a three-dimensional object casts a two-dimensional shadow, we should be able to imagine the unknown four-dimensional object whose shadow we are. I for my part am fascinated by the search for a one-dimensional object that casts no shadow at all.

I am interested in ideas, not merely in visual products.

Chess players are madmen of a certain quality, the way the artist is supposed to be, and isn't, in general.

I have forced myself to contradict myself in order to avoid conforming to my own taste.

As soon as we start putting our thoughts into words and sentences everything gets distorted, language is just no damn good—I use it because I have to, but I don’t put any trust in it. We never understand each other.