A mathematical paradise of endless displacement promised eternal bliss to the mathematician, but turned the historian green with horror. Made miserable by the thought that he knew no mathematics, he burned to ask whether M. Poincaré knew any history, since he began by begging the historical question altogether, and assuming that the past showed alternating phases of simple and complex--the precise point that Adams, after fifty years of effort, found himself forced to surrender; and then going on to assume alternating phases for the future which, for the weary Titan of Unity, differed in nothing essential from the kinetic theory of a perfect gas.

Since monkeys first began to chatter in trees, neither man nor beast had ever denied or doubted Multiplicity, Diversity, Complexity, Anarchy, Chaos. Always and everywhere the Complex had been true and the Contradiction had been certain. Thought started by it. Mathematics itself began by counting one--two--three; then imagining their continuity, which M. Poincaré was still exhausting his wits to explain or defend; and this was his explanation: "In short, the mind has the faculty of creating symbols, and it is thus that it has constructed mathematical continuity which is only a particular system of symbols." With the same light touch, more destructive in its artistic measure than the heaviest-handed brutality of Englishmen or Germans, he went on to upset relative truth itself: "How should I answer the question whether Euclidian Geometry is true? It has no sense!... Euclidian Geometry is, and will remain, the most convenient."

Chaos was a primary fact even in Paris--especially in Paris--as it was in the Book of Genesis; but every thinking being in Paris or out of it had exhausted thought in the effort to prove Unity, Continuity, Purpose, Order, Law, Truth, the Universe, God, after having begun by taking it for granted, and discovering, to their profound dismay, that some minds denied it. The direction of mind, as a single force of nature, had been constant since history began. Its own unity had created a universe the essence of which was abstract Truth; the Absolute; God! To Thomas Aquinas, the universe was still a person; to Spinoza, a substance; to Kant, Truth was the essence of the "I"; an innate conviction; a categorical imperative; to Poincaré, it was a convenience; and to Karl Pearson, a medium of exchange.

The historian never stopped repeating to himself that he knew nothing about it; that he was a mere instrument of measure, a barometer, pedometer, radiometer; and that his whole share in the matter was restricted to the measurement of thought-motion as marked by the accepted thinkers. He took their facts for granted. He knew no more than a firefly about rays--or about race--or sex--or ennui--or a bar of music--or a pang of love--or a grain of musk--or of phosphorus--or conscience--or duty--or the force of Euclidian geometry--or non-Euclidian--or heat--or light--or osmosis--or electrolysis--or the magnet--or ether--or vis inertiae--or gravitation--or cohesion--or elasticity--or surface tension--or capillary attraction--or Brownian motion--or of some scores, or thousands, or millions of chemical attractions, repulsions or indifferences which were busy within and without him; or, in brief, of Force itself, which, he was credibly informed, bore some dozen definitions in the textbooks, mostly contradictory, and all, as he was assured, beyond his intelligence; but summed up in the dictum of the last and highest science, that Motion seems to be Matter and Matter seems to be Motion, yet "we are probably incapable of discovering" what either is. History had no need to ask what either might be; all it needed to know was the admission of ignorance; the mere fact of multiplicity baffling science. Even as to the fact, science disputed, but radium happened to radiate something that seemed to explode the scientific magazine, bringing thought, for the time, to a standstill; though, in the line of thought-movement in history, radium was merely the next position, familiar and inexplicable since Zeno and his arrow: continuous from the beginning of time, and discontinuous at each successive point. History set it down on the record--pricked its position on the chart--and waited to be led, or misled, once more.

The historian must not try to know what is truth, if he values his honesty; for, if he cares for his truths, he is certain to falsify his facts. The laws of history only repeat the lines of force or thought. Yet though his will be iron, he cannot help now and then resuming his humanity or simianity in face of a fear. The motion of thought had the same value as the motion of a cannon-ball seen approaching the observer on a direct line through the air. One could watch its curve for five thousand years. Its first violent acceleration in historical times had ended in the catastrophe of 310. The next swerve of direction occurred towards 1500. Galileo and Bacon gave a still newer curve to it, which altered its values; but all these changes had never altered the continuity. Only in 1900, the continuity snapped.

Vaguely conscious of the cataclysm, the world sometimes dated it from 1893, by the Roentgen rays, or from 1898, by the Curie's radium; but in 1904, Arthur Balfour announced on the part of British science that the human race without exception had lived and died in a world of illusion until the last year of the century. The date was convenient, and convenience was truth.

The child born in 1900 would, then, be born into a new world which would not be a unity but a multiple. Adams tried to imagine it, and an education that would fit it. He found himself in a land where no one had ever penetrated before; where order was an accidental relation obnoxious to nature; artificial compulsion imposed on motion; against which every free energy of the universe revolted; and which, being merely occasional, resolved itself back into anarchy at last. He could not deny that the law of the new multiverse explained much that had been most obscure, especially the persistently fiendish treatment of man by man; the perpetual effort of society to establish law, and the perpetual revolt of society against the law it had established; the perpetual building up of authority by force, and the perpetual appeal to force to overthrow it; the perpetual symbolism of a higher law, and the perpetual relapse to a lower one; the perpetual victory of the principles of freedom, and their perpetual conversion into principles of power; but the staggering problem was the outlook ahead into the despotism of artificial order which nature abhorred. The physicists had a phrase for it, unintelligible to the vulgar: "All that we win is a battle--lost in advance--with the irreversible phenomena in the background of nature."

All that a historian won was a vehement wish to escape. He saw his education complete; and was sorry he ever began it. As a matter of taste, he greatly preferred his eighteenth-century education when God was a father and nature a mother, and all was for the best in a scientific universe. He repudiated all share in the world as it was to be, and yet he could not detect the point where his responsibility began or ended.

As history unveiled itself in the new order, man's mind had behaved like a young pearl oyster, secreting its universe to suit its conditions until it had built up a shell of nacre that embodied all its notions of the perfect. Man knew it was true because he made it, and he loved it for the same reason. He sacrificed millions of lives to acquire his unity, but he achieved it, and justly thought it a work of art. The woman especially did great things, creating her deities on a higher level than the male, and, in the end, compelling the man to accept the Virgin as guardian of the man's God. The man's part in his Universe was secondary, but the woman was at home there, and sacrificed herself without limit to make it habitable, when man permitted it, as sometimes happened for brief intervals of war and famine; but she could not provide protection against forces of nature. She did not think of her universe as a raft to which the limpets stuck for life in the surge of a supersensual chaos; she conceived herself and her family as the centre and flower of an ordered universe which she knew to be unity because she had made it after the image of her own fecundity; and this creation of hers was surrounded by beauties and perfections which she knew to be real because she herself had imagined them.

Even the masculine philosopher admired and loved and celebrated her triumph, and the greatest of them sang it in the noblest of his verses:--