Since I found that one could make a case shadow from a three-dimensional thing, any object whatsoever - just as the projecting of the sun on the earth makes two dimensions - I thought that by simple intellectual analogy, the fourth dimension could project an object of three dimensions, or, to put it another way, any three-dimensional object, which we see dispassionately, is a projection of something four-dimensional, something we are not familiar with.

I don’t care about the word ‘art’ because it has been so discredited. So I want to get rid of it. There is an unnecessary adoration of ‘art’ today.

I was interested in ideas, not merely visual products. I wanted to put painting once again at the service of the mind.

I have drawn people's attention to the fact that art is a mirage. A mirage, just like the oasis that appears in the desert. It is very beautiful, until the moment when you die of thirst, obviously. But we do not die of thirst in the field of art. The mirage has substance.

The curious thing about that moustache and goatee is that when you look at the Mona Lisa it becomes a man. It is not a woman disguised as a man; it is a real man, and that was my discovery, without realising it at the time.

You cannot define electricity. The same can be said of art. It is a kind of inner current in a human being, or something which needs no definition.

I'm not at all sure that the concept of the readymade isn't the most important single idea to come out of my work.