"This science gave me a taste for the arts. It is Number that gives value to sounds and silences, lights and shadows, forms and spaces. Michelangelo and Bach seemed to me like divine mathematicians . Already I felt that only mathematics enables works that can last. Whether as a result of patient study, or of a stormy intuition, number alone can reduce all our diversities of feeling to the strict unity of a mass, a fresco, or a sculpted head."

“We are frankly amused to think that many a novice may perhaps pay for his too literal comprehension of the remarks of one cubist, and his faith in the existence of an Absolute Truth, by painfully juxtaposing the six faces of a cube or the two ears of a model seen in profile.”

“We could not do it in the way he meant. But from the Rue Lamarck to the Rue Ravignan, the attempt to imitate an orb on a vertical plane, or to indicate by a horizontal straight line the circular hole of a vase placed at the height of the eyes was considered as the artifice of an illusionistic trickery that belonged to another age.”

“So, music does not attempt to imitate Nature's sounds, but it does interpet and embody emotions awakened by Nature through a convention of its own, in a way to be aesthetically pleasing. In some such way, we, taking our hint from Nature, construct decoratively pleasing harmonies and symphonies of color expression of our sentiments.”

“Nearly conscious in someone like Michelangelo, or Paolo Uccello, quite intuitive in painters such as Ingres, or Corot, it works on the basis of numbers which belong to the painting itself, not to whatever it represents.”

“Dallas Museum of Art”

“In fact it is a stupidity, Maurice Princet told me in the presence of Juan Gris, to claim to be able to bring together in a single system of relations, colour, which is a sensation that only needs to be received, and form which is an organisation that has to be understood ; and, introducing us to the non-Euclidean geometries, he urged us to create a geometry for painters.”