Consider now any two matters of great importance for human weal—jurisprudence for example, and natural science—or any other two major concerns of humanity. It is as plain as the noon-day sun that, if progress in one of the matters advances according to the law of a geometric progression and [pg 019] the other in accordance with a law of an arithmetical progression, progress in the former matter will very quickly and ever more and more rapidly outstrip progress in the latter, so that, if the two interests involved be interdependent (as they always are), a strain is gradually produced in human affairs, social equilibrium is at length destroyed; there follows a period of readjustment by means of violence and force. It must not be fancied that the case supposed is merely hypothetical. The whole history of mankind and especially the present condition of the world unite in showing that far from being merely hypothetical, the case supposed has always been actual and is actual to-day on a vaster scale than ever before. My contention is that while progress in some of the great matters of human concern has been long proceeding in accordance with the law of a rapidly increasing geometric progression, progress in the other matters of no less importance has advanced only at the rate of an arithmetical progression or at best at the rate of some geometric progression of relatively slow growth. To see it and to understand it we have to pay the small price of a little observation and a little meditation.
Some technological invention is made, like that of a steam engine or a printing press, for example; or some discovery of scientific method, like that of analytical geometry or the infinitesimal calculus; or [pg 020] some discovery of natural law, like that of falling bodies or the Newtonian law of gravitation. What happens? What is the effect upon the progress of knowledge and invention? The effect is stimulation. Each invention leads to new inventions and each discovery to new discoveries; invention breeds invention, science begets science, the children of knowledge produce their kind in larger and larger families; the process goes on from decade to decade, from generation to generation, and the spectacle we behold is that of advancement in scientific knowledge and technological power according to the law and rate of a rapidly increasing geometric progression or logarithmic function.
And now what must we say of the so-called sciences—the pseudo sciences—of ethics and jurisprudence and economics and politics and government? For the answer we have only to open our eyes and behold the world. By virtue of the advancement that has long been going on with ever accelerated logarithmic rapidity in invention, in mathematics, in physics, in chemistry, in biology, in astronomy and in applications of them, time and space and matter have been already conquered to such an extent that our globe, once so seemingly vast, has virtually shrunken to the dimensions of an ancient province; and manifold peoples of divers tongues and traditions and customs and institutions are now constrained [pg 021] to live together as in a single community. There is thus demanded a new ethical wisdom, a new legal wisdom, a new economical wisdom, a new political wisdom, a new wisdom in the affairs of government. For the new visions our anguished times cry aloud but the only answers are reverberated echoes of the wailing cry mingled with the chattering voices of excited public men who know not what to do. Why? What is the explanation? The question is double: Why the disease? And why no remedy at hand? The answer is the same for both. And the answer is that the so-called sciences of ethics and jurisprudence and economics and politics and government have not kept pace with the rapid progress made in the other great affairs of man; they have lagged behind; it is because of their lagging that the world has come to be in so great distress; and it is because of their lagging that they have not now the needed wisdom to effect a cure.
Do you ask why it is that the “social” sciences—the so-called sciences of ethics, etc.—have lagged behind? The answer is not far to seek nor difficult to understand. They have lagged behind, partly because they have been hampered by the traditions and the habits of a bygone world—they have looked backward instead of forward; they have lagged behind, partly because they have depended upon the barren methods of verbalistic philosophy—they [pg 022] have been metaphysical instead of scientific; they have lagged behind, partly because they have been often dominated by the lusts of cunning “politicians” instead of being led by the wisdom of enlightened statesmen; they have lagged behind, partly because they have been predominantly concerned to protect “vested interests,” upon which they have in the main depended for support; the fundamental cause, however, of their lagging behind is found in the astonishing fact that, despite their being by their very nature most immediately concerned with the affairs of mankind, they have not discovered what Man really is but have from time immemorial falsely regarded human beings either as animals or else as combinations of animals and something supernatural. With these two monstrous conceptions of the essential nature of man I shall deal at a later stage of this writing.
At present I am chiefly concerned to drive home the fact that it is the great disparity between the rapid progress of the natural and technological sciences on the one hand and the slow progress of the metaphysical, so-called social “sciences” on the other hand, that sooner or later so disturbs the equilibrium of human affairs as to result periodically in those social cataclysms which we call insurrections, revolutions and wars. The reader should note carefully that such cataclysmic changes—such “jumps,” as we may call them—such violent readjustments [pg 023] in human affairs and human relationships—are recorded throughout the history of mankind. And I would have him see clearly that, because the disparity which produces them increases as we pass from generation to generation—from term to term of our progressions—the “jumps” in question occur not only with increasing violence but with increasing frequency. This highly significant fact may be graphically illustrated in the following figure:
Geometric evolution of the natural and technological sciences.—Peaceful progress.
Arithmetical evolution of the so-called social “sciences,” accelerated by violent “jumps.”—Non-peaceful social progress.
a'2, 2a, ab, bc, cd, represent the geometrical law of progression in the natural and technological sciences (peaceful evolution).