II
The way to the problem of Time, then, begins in the primitive wistfulness and passes through its clearer issue the Destiny-idea. We have now to try to outline, briefly, the content of that problem, so far as it affects the subject of this book.
The word Time is a sort of charm to summon up that intensely personal something designated earlier as the “proper,” which with an inner certainty we oppose to the “alien” something that is borne in upon each of us amongst and within the crowding impressions of the sense-life. “The Proper,” “Destiny” and “Time” are interchangeable words.
The problem of Time, like that of Destiny, has been completely misunderstood by all thinkers who have confined themselves to the systematic of the Become. In Kant’s celebrated theory there is not one word about its character of directedness. Not only so, but the omission has never even been noticed. But what is time as a length, time without direction? Everything living, we can only repeat, has “life,” direction, impulse, will, a movement-quality (Bewegtheit) that is most intimately allied to yearning and has not the smallest element in common with the “motion” (Bewegung) of the physicists. The living is indivisible and irreversible, once and uniquely occurring, and its course is entirely indeterminable by mechanics. For all such qualities belong to the essence of Destiny, and “Time”—that which we actually feel at the sound of the word, which is clearer in music than in language, and in poetry than in prose—has this organic essence, while Space has not. Hence, Kant and the rest notwithstanding, it is impossible to bring Time with Space under one general Critique. Space is a conception, but time is a word to indicate something inconceivable, a sound-symbol, and to use it as a notion, scientifically, is utterly to misconceive its nature. Even the word direction—which unfortunately cannot be replaced by another—is liable to mislead owing to its visual content. The vector-notion in physics is a case in point.
For primitive man the word “time” can have no meaning. He simply lives, without any necessity of specifying an opposition to something else. He has time, but he knows nothing of it. All of us are conscious, as being aware, of space only, and not of time. Space “is,” (i.e. exists, in and with our sense-world)—as a self-extension while we are living the ordinary life of dream, impulse, intuition and conduct, and as space in the strict sense in the moments of strained attention. “Time,” on the contrary, is a discovery, which is only made by thinking. We create it as an idea or notion and do not begin till much later to suspect that we ourselves are Time, inasmuch as we live.[[102]] And only the higher Cultures, whose world-conceptions have reached the mechanical-Nature stage, are capable of deriving from their consciousness of a well-ordered measurable and comprehensible Spatial, the projected image of time, the phantom time,[[103]] which satisfies their need of comprehending, measuring and causally ordering all. And this impulse—a sign of the sophistication of existence that makes its appearance quite early in every Culture—fashions, outside and beyond the real life-feeling, that which is called time in all higher languages and has become for the town-intellect a completely inorganic magnitude, as deceptive as it is current. But, if the characteristics, or rather the characteristic, of extension—limit and causality—is really wizard’s gear wherewith our proper soul attempts to conjure and bind alien powers—Goethe speaks somewhere of the “principle of reasonable order that we bear within ourselves and could impress as the seal of our power upon everything that we touch”—if all law is a fetter which our world-dread hurries to fix upon the incrowding sensuous, a deep necessity of self-preservation, so also the invention of a time that is knowable and spatially representable within causality is a later act of this same self-preservation, an attempt to bind by the force of notion the tormenting inward riddle that is doubly tormenting to the intellect that has attained power only to find itself defied. Always a subtle hatred underlies the intellectual process by which anything is forced into the domain and form-world of measure and law. The living is killed by being introduced into space, for space is dead and makes dead. With birth is given death, with the fulfilment the end. Something dies within the woman when she conceives—hence comes that eternal hatred of the sexes, child of world-fear. The man destroys, in a very deep sense, when he begets—by bodily act in the sensuous world, by “knowing” in the intellectual. Even in Luther[[104]] the word “know” has the secondary genital sense. And with the “knowledge” of life—which remains alien to the lower animals—the knowledge of death has gained that power which dominates man’s whole waking consciousness. By a picture of time the actual is changed into the transitory.[[105]]
The mere creation of the name Time was an unparalleled deliverance. To name anything by a name is to win power over it. This is the essence of primitive man’s art of magic—the evil powers are constrained by naming them, and the enemy is weakened or killed by coupling certain magic procedures with his name.[[106]]
And there is something of this primitive expression of world-fear in the way in which all systematic philosophies use mere names as a last resort for getting rid of the Incomprehensible, the Almighty that is all too mighty for the intellect. We name something or other the “Absolute,” and we feel ourselves at once its superior. Philosophy, the love of Wisdom, is at the very bottom defence against the incomprehensible. What is named, comprehended, measured is ipso facto overpowered, made inert and taboo.[[107]] Once more, “knowledge is power.” Herein lies one root of the difference between the idealist’s and the realist’s attitude towards the Unapproachable; it is expressed by the two meanings of the German word Scheu—respect and abhorrence.[[108]] The idealist contemplates, the realist would subject, mechanize, render innocuous. Plato and Goethe accept the secret in humility, Aristotle and Kant would open it up and destroy it. The most deeply significant example of this realism is in its treatment of the Time problem. The dread mystery of Time, life itself, must be spellbound and, by the magic of comprehensibility, neutralized.
All that has been said about time in “scientific” philosophy, psychology and physics—the supposed answer to a question that had better never have been asked, namely what is time?—touches, not at any point the secret itself, but only a spatially-formed representative phantom. The livingness and directedness and fated course of real Time is replaced by a figure which, be it never so intimately absorbed, is only a line, measurable, divisible, reversible, and not a portrait of that which is incapable of being portrayed; by a “time” that can be mathematically expressed in such forms as √t, t², -t, from which the assumption of a time of zero magnitude or of negative times is, to say the least, not excluded.[[109]] Obviously this is something quite outside the domain of Life, Destiny, and living historical Time; it is a purely conceptual time-system that is remote even from the sensuous life. One has only to substitute, in any philosophical or physical treatise that one pleases, this word “Destiny” for the word “time” and one will instantly see how understanding loses its way when language has emancipated it from sensation, and how impossible the group “time and space” is. What is not experienced and felt, what is merely thought, necessarily takes a spatial form, and this explains why no systematic philosopher has been able to make anything out of the mystery-clouded, far-echoing sound symbols “Past” and “Future.” In Kant’s utterances concerning time they do not even occur, and in fact one cannot see any relation which could connect them with what is said there. But only this spatial form enables time and space to be brought into functional interdependence as magnitudes of the same order, as four-dimensional vector analysis[[110]] conspicuously shows. As early as 1813 Lagrange frankly described mechanics as a four-dimensional geometry, and even Newton’s cautious conception of “tempus absolutum sive duratio” is not exempt from this intellectually inevitable transformation of the living into mere extension. In the older philosophy I have found one, and only one, profound and reverent presentation of Time; it is in Augustine—“If no one questions me, I know: if I would explain to a questioner, I know not.”[[111]]
When philosophers of the present-day West “hedge”—as they all do—by saying that things are in time as in space and that “outside” them nothing is “conceivable,” they are merely putting another kind of space (Räumlichkeit) beside the ordinary one, just as one might, if one chose, call hope and electricity the two forces of the universe. It ought not, surely, to have escaped Kant when he spoke of the “two forms” of perception, that whereas it is easy enough to come to a scientific understanding about space (though not to “explain” it, in the ordinary sense of the word, for that is beyond human powers), treatment of time on the same lines breaks down utterly. The reader of the “Critique of Pure Reason” and the “Prolegomena” will observe that Kant gives a well-considered proof for the connexion of space and geometry but carefully avoids doing the same for time and arithmetic. There he did not go beyond enunciation, and constant reassertion of analogy between the two conceptions lured him over a gap that would have been fatal to his system. Vis-à-vis the Where and the How, the When forms a world of its own as distinct as is metaphysics from physics. Space, object, number, notion, causality are so intimately akin that it is impossible—as countless mistaken systems prove—to treat the one independently of the other. Mechanics is a copy of the logic of its day and vice versa. The picture of thought as psychology builds it up and the picture of the space-world as contemporary physics describes it are reflections of one another. Conceptions and things, reasons and causes, conclusions and processes coincide so nicely, as received by the consciousness, that the abstract thinker himself has again and again succumbed to the temptation of setting forth the thought-“process” graphically and schematically—witness Aristotle’s and Kant’s tabulated categories. “Where there is no scheme, there is no philosophy” is the objection of principle—unacknowledged though it may be—that all professional philosophers have against the “intuitives,” to whom inwardly they feel themselves far superior. That is why Kant crossly describes the Platonic style of thinking “as the art of spending good words in babble” (die Kunst, wortreich zu schwatzen), and why even to-day the lecture-room philosopher has not a word to say about Goethe’s philosophy. Every logical operation is capable of being drawn, every system a geometrical method of handling thoughts. And therefore Time either finds no place in the system at all, or is made its victim.
This is the refutation of that widely-spread misunderstanding which connects time with arithmetic and space with geometry by superficial analogies, an error to which Kant ought never to have succumbed—though it is hardly surprising that Schopenhauer, with his incapacity for understanding mathematics, did so. Because the living act of numbering is somehow or other related to time, number and time are constantly confused. But numbering is not number, any more than drawing is a drawing. Numbering and drawing are a becoming, numbers and figures are things become. Kant and the rest have in mind now the living act (numbering) and now the result thereof (the relations of the finished figure); but the one belongs to the domain of Life and Time, the other to that of Extension and Causality. That I calculate is the business of organic, what I calculate the business of inorganic, logic. Mathematics as a whole—in common language, arithmetic and geometry—answers the How? and the What?—that is, the problem of the Natural order of things. In opposition to this problem stands that of the When? of things, the specifically historical problem of destiny, future and past; and all these things are comprised in the word Chronology, which simple mankind understands fully and unequivocally.
Between arithmetic and geometry there is no opposition.[[112]] Every kind of number, as has been sufficiently shown in an earlier chapter, belongs entirely to the realm of the extended and the become, whether as a Euclidean magnitude or as an analytical function; and to which heading should we have to assign the cyclometric[[113]] functions, the Binomial Theorem, the Riemann surfaces, the Theory of Groups? Kant’s scheme was refuted by Euler and d’Alembert before he even set it up, and only the unfamiliarity of his successors with the mathematics of their time—what a contrast to Descartes, Pascal and Leibniz, who evolved the mathematics of their time from the depths of their own philosophy!—made it possible for mathematical notions of a relation between time and arithmetic to be passed on like an heirloom, almost uncriticized.
But between Becoming and any part whatsoever of mathematics there is not the slightest contact. Newton indeed was profoundly convinced (and he was no mean philosopher) that in the principles of his Calculus of Fluxions[[114]] he had grasped the problem of Becoming, and therefore of Time—in a far subtler form, by the way, than Kant’s. But even Newton’s view could not be upheld, even though it may find advocates to this day. Since Weierstrass proved that continuous functions exist which either cannot be differentiated at all or are capable only of partial differentiation, this most deep-searching of all efforts to close with the Time-problem mathematically has been abandoned.