I wanted an art that was faithful to itself [loyal] and would have nothing to do with the business of creating illusions. I dreamed of painting glasses from which no-one would ever think of drinking, beaches that would be quite unsuitable for bathing, nudes who would be definitively chaste. I wanted an art which in the first place would appear as a representation of the impossible.

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.

But we cannot enjoy in isolation; we wish to dazzle others with that which we daily snatch from the world of sense, and in return we wish others to show us their trophies. From a reciprocity of concessions arise those mixed images, which we hasten to confront with artistic creations in order to compute what they contain of the objective; that is of the purely conventional.

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.

Often we were joined by Maurice Princet. Although very young, he held an important post in an insurance company which he owed to his knowledge of mathematics. But outside his profession it was as an artist that he thought of mathematics, as a specialist in aesthetics that he evoked continuities in n dimensions. He liked to interest painters in the new visions of space that had been opened up by Victor Schlegel and several others. He succeeded. After having heard him by chance, Henri Matisse was caught reading an essay on hyperspace. Oh! it was only a potboiler [un ouvrage de vulgarisation]! but at least that shows that for the great 'fauve' the days of the painter who knows nothing, who runs towards a pretty subject with his beard blowing in the wind, was passed.

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.

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I had measured the difference that separated art prior to 1900 from the art which I felt was being born. I knew that all instruction was at an end. The age of personal expression had finally begun. The value of an artist was no longer to be judged by the finish of his execution, or by the analogies his work suggested with such-and-such an archetype. It would be judged – exclusively – by what distinguished this artist from all the others. The age of the master and pupil was finally over; I could see about me only a handful of creators and whole colonies of monkeys. But I could not ask Gleizes to see it that way. Happily, nothing of his social or mystical opinions remained when he was engaged in the work of painting. The work of reconciling an oval and a lozenge, a yellow and a blue, prevailed and saved him.

We could not do it in the way he meant. But from the Rue Lamarck to the Rue Ravignan, the attempt [prétention] 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.

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.

It used to be said of a woman: why she's a Velázquez infanta! Now it is said: she's a Renoir blonde! I have no doubt that, in the future, it will be proclaimed: she's as exuberant as a Delaunay, as noble as a Le Fauconnier, as beautiful as a Braque or Picasso.

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