You were asking my opinion on your work of art, my dear Jean [Duchamp's brother-in-law Jean Crotti, who asked Duchamp his comment on an art-work he made]... Artists throughout the ages are like Monte Carlo gamblers and the blind lottery pulls some of them through and ruin others... I do not believe in painting per se – A painting is made not by the artist but by those who look at it and grant it their favors. In other words, no painters knows himself or what he is doing – There is no outward sign explaining why a Fra Angelico and a Leonardo [da Vinci] are equally 'recognized'. It all takes place at the level of our old friend luck.
In a letter to Jean Crotti (Duchamp's brother-in-law) and his sister Suzanne Duchamp, New York 17 Augustus 1952; as quoted in The Duchamp Book, ed. Gavin Parkinson, Tate Publishing, London 2008 p. 167