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 [calculateurs]. Already I felt that only mathematics enables works that can last. Whether as a result of patient study, or of a stormy [fulgurante] intuition, number alone can reduce all our diversities of feeling to the strict unity of a mass, a fresco, or a sculpted head.

Instead of copying Nature, we [ Cubists ] create a 'milieu', of our own, wherein our sentiment can work itself out through a juxtaposition of colors. It is hard to explain it, but it may perhaps be illustrated by analogy of literature and music. Your [ Gelett Burgess is American] Edgar Poe did not attempt to reproduce Nature realistically. Some phase of life suggested an emotion, as that of horror in 'The Fall of the House of Ushur'. That subjective idea he translated into art. He made a composition of it.

We do not mechanically connect the sensation of white with the idea of light, any more than we connect the sensation of black with the idea of darkness. We admit that a black jewel, even if of a dead black, may be more luminous than the white or pink satin of its case. Loving light, we refuse to measure it, and we avoid the geometrical ideas of the focus and the ray, which imply the repetition-contrary to the principle of variety which guides us-of bright planes and sombre intervals in a given direction. Loving colour, we refuse to limit it, and subdued or dazzling, fresh or muddy, we accept all the possibilities contained between the two extreme points of the spectrum, between the cold and the warm tone.

Gleizes was only trying to reduce the curvature of natural volumes to adapt them more naturally and rigorously to the surface of the painting, a surface which he believed to be continuous with the wall and, for all practical purposes, with no curvature at all.

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To understand Paul Cézanne is to foresee Cubism. Henceforth we are justified in saying that between this school and previous manifestations there is only a difference of intensity, and that in order to assure ourselves of this we have only to study the methods of this realism, which, departing from the superficial reality of Courbet, plunges with Cézanne into profound reality, growing luminous as it forces the unknowable to retreat.

As for Picasso, the specialist was amazed by the rapidity of his understanding. The tradition he came from had prepared him better than ours for a problem to do with structure. And Berthe Weil was right when she treated those who compared him/confused him with, a Steinlen or a Lautrec as idiots. He had already rejected them in their own century, a century we had no intention of prolonging. Whether or not the Universe was endowed with another dimension, art was going to move into a different field.

"What madman, or what clever-dick with the instincts of a counterfeiter was the first to paint a sphere in trompe l'oeil on a surface that is vertical and rigorously flat! And that's what they teach at the Beaux-Arts [academy]! How could such idiocies ever have survived the verdict of Pascal?" [quote of Albert Gleizes ]. That was how, in 1906, Albert Gleizes was feeling his way towards Cubism and condemned in advance those who never saw anything in it other than a shibboleth [mot d'ordre]. It was still nothing more than a need he felt, the need not for an intellectual art but for an art that would be something other than a systematic absurdity. Quite clearly nature and the painting make up two different worlds which have nothing in common, and what is quite in its place in the one cannot also be in its place in the other.

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.

Already, a conscious courage is coming to life. Here are some of the painters: Picasso, Georges Braque, Delaunay, Le Fauconnier.. ..they are highly enlightened, and do not believe in the stability of any system, even if it were to call itself classical art.. ..Their reason is poised between the pursuit of the fleeting and a mania for the eternal.