personal sovereign or a personal God. Whatever one's judgment may be in particular cases, there can be no reason for disputing that in epigenetic or creative evolution there is, in a sense, loss as well as gain. There is no more reason for supposing that all that was wholesome or ennobling or beautiful in an earlier function _must_ somehow have its specific compensation in kind infallibly present in the new than for supposing that all that is desirable in the new must surely have been present discernibly or indiscernibly in the old.
If we are on the whole satisfied with the new on its intrinsic merits as a present complex fact, we have therein sufficient ground for saying that it marks a stage in progress. This, in fact, is what such a proposition means. And the old then appears more or less widely discontinuous with the new--not merely that it shows, in units of measure, less of the acceptable quality or qualities which the _new_ fact or situation is found to possess, but that it belongs for us to a qualitatively different level and order of existence. How, we wonder, could our ancestors have found life tolerable in their undrained and imperfectly heated dwellings, without the telephone, the morning's news of the world by cable, and the phonograph? How, again, could feudal homage and fealty have ever been the foundation of social order in countries where today every elector is wont to think and to act in his public relations no longer as a subject but as a citizen. And how, in still a different sphere, could the father or the mother of a happy family of children ever have found the freedom and irresponsibility of bachelorhood endurable? Shall we say that in changes like these we have to do simply with the quantitative increase of some quality, present in small measure in the earlier stages and in larger measure in the later?
Or shall we evade the issue with the general admission that _of course_, as every schoolboy knows, there are in this world many differences of degree that somehow "amount to differences of kind"? As a matter of fact what has happened in every case like these is an actual change of standard, a new construction in the growing system of one's norms of value and behavior. Provisionally, though hopefully, a step has been taken--a real event in personal and in social history has been given place and date. From some source beyond the scope and nature of the earlier function a suggestion or an impulsion has come by which the agent has endeavored to move forward. The change wrought is a transcendence of the earlier level of experience and valuation, not a widening and clarification of vision on that level. And the standards which govern on the new level serve not so much to condemn the old as to seal its consignment to disuse and oblivion. Least of all can a judgment or appraisal of the old from the standpoint of the new be taken for a transcript of the motives which led to the transition.
We must confine ourselves more closely, however, to the sphere of material goods and their uses. And in this sphere objection to the view proposed will run in some such terms as the following: Take our ancestors, for example, and their household arrangements to which invidious reference has been made: why should we suppose that their seeming contentment was anything more (or less) than a dignified composure in which we might well imitate them--an attitude in no way precluding a definite sense of specific discomforts and embarrassments and a distinct determination to be rid of them as soon as might be? And, in fact, if they were satisfied with what they had why did they receive the new when it was offered? If, on the other hand, they were not satisfied, how is the fact intelligible except upon the assumption that they had distinct and definite wants not yet supplied, and were wishing (but patiently) for conveniences and comforts of a sort not yet existent. And this latter hypothesis, it will be urged, is precisely what the foregoing argument has sought to discredit as an account of the moving springs in the evolution of consumption.
Sec. 5. Any adequate discussion of the central issue thus presented would fall into two parts. In the first place, before a consumption good can come into general acceptance and currency it must have been in some way discovered, suggested or invented, and the psychology of invention is undoubtedly a matter of very great complexity and difficulty. But for the purposes of the present inquiry all this may be passed over. The other branch of a full discussion of our problem has to do with the reception of the newly invented commodity or process into wider and wider use--and this again is a social phenomenon not less complex than the other. It is this phenomenon of increasing extension and vogue, of widening propagation from person to person, that is directly of present concern for us--and in particular the individual person's attitude toward the new thing and the nature of the interest he takes in it.
It has recently been argued by a learned and acute investigator of economic origins that "invention is the mother of necessity," and not the child.[45] Such a complete reversal of all our ordinary thought about the matter seems at first sheer paradox. What, one may ask, can ever suggest an invention and what can give it welcome and currency but an existing need--which, if it happens to be for the time being latent and unconscious, needs only the presentation of its appropriate means of satisfaction to "arouse" and "awaken" it fully into action? But this paradox as to invention is at all events not more paradoxical than the view as to the reception of new commodities and the rise of new desires that has been above suggested. What it appears to imply is in principle identical with what has seemed, from our consideration of the other aspect of the general situation, to be the simple empirical fact; neither the existence of the new commodity nor our interest in it when it is presented admits of explanation as an effect on each particular occasion of a preexisting unsatisfied desire for it. What both sides of the problem bring to view is a certain original bent or constitutive character of human nature--a predisposition, an _elan vital_ perhaps, which we must recognize as nothing less than perfectly general and comprehensive--finding expression in inventive effort and likewise in the readiness with which the individual meets a new commodity halfway and gives it opportunity to become for him, if it can, a new necessity and the source of a new type of satisfaction.
From the point of view of "logic," as William James might have said, such a version of psychological fact may seem essentially self-contradictory. Unless, it may be argued, a novelty when presented excites some manner of desire for itself in the beholder, the beholder will make no effort towards it and thus take no step away from his existing system of life to a new system in which a new desire and a new commodity shall have a place. So much would seem clear enough but the question immediately follows: How can a thing that is new arouse desire?
In so far as it is new it must _ex vi termini_ be unknown and wanting definition in terms of remembered past experiences; and how can a thing unknown make that connection with the present character of the individual which must be deemed necessary to the arousal of desire in him? A new thing would seem, then, from this point of view, to be able to arouse desire only in so far as it is able to conceal or subordinate its aspects of novelty and appear as known and well-accredited--either this or there must be in the individual some definite instinctive mechanism ready to be set in action by the thing's presentment. And on neither of these suppositions can having to do with the new thing effect any fundamental or radical difference in the individual--it can serve at most only to "bring out" what was already "there" in him in a "latent" or "implicit" status. Whatever new developments of power or desire may be attained and organized into the individual's character through his commerce with the novelty must be new in only a superficial sense--they will be new only as occurrences, only as the striking of the hour by the clock and the resulting abrasion of the bell and hammer are new events. But the clock was made to strike; it is the nature of metal to wear away and likewise these changes in the individual are in deeper truth not new at all but only a disclosure of the agent's character, a further fulfilment along preestablished and unalterable lines which all along was making headway in the agent's earlier quests and efforts and attainments.
There is a sense, no doubt, in which some such version of the facts as this is unanswerable, but controversial advantage is paid for, here as elsewhere in the logic of absolute idealism, at the cost of tangible meaning and practical importance. Just what does the contention come to?
Let us say, for example, that one has learned to use a typewriter. What has happened is like an illiterate person's learning to read and write.
Correspondence with one's friends begins to take on new meaning and to acquire new value; one begins to find a new pleasure and stimulation taking the place of the ineffectual drivings of an uneasy conscience.
All this, let us say, has come from the moderate outlay for a superior mechanical instrument. And now let it be granted that it would not have come if the fortunate individual had not been "what he was." If it has come it is because the individual and the rest of the world were "of such a sort" that the revival and new growth of interest _could_ take its rise with the provision of the new instrumentality. But what, precisely, does such a statement mean? What sort of verification does it admit of? What fruitful insight into the concrete facts of the case does it convey? Of _what_ sort, prior to the event, does it show the individual to have been?
The truth is, of course, that he was of _no_ sort, then and there and with reference to the purchase--he was of no sort decisively. He was neither purchaser nor rejector. He was neither a convinced "typist" nor piously confirmed in his predilection for writing "by hand." He was neither wholly weary of his correspondence nor fully cognizant of the importance of intercourse with his friends for his soul's good. He may have been dissatisfied and rebellious or he may have been comfortably persuaded that letter-writing, though an irksome labor, was even at that sufficiently worth while. The most that can be said is simply that he must have been willing and desirous to try the experiment for the sake of any good, imaginable or beyond present imagination, that might come of it. But being of "such a sort" as this could not prejudge the issue--although, undoubtedly, in willingness to raise an issue there lies always the possibility of change. All the plausibility of the dogma we are here considering comes from its hasty inclusion of this general attitude of constructively experimental inquiry and effort, this essential character of creative intelligence, as _one among_ the concrete interests which constitute and define our particular problems in their inception. To say _ex post facto_ that the individual must have been "of such a sort" as to do what he has in fact done is a purely verbal comment which, whatever may be its uses, can assuredly be of no use whatever in suggesting either solution or method for the next situation to arise. It may be comfortably reassuring afterwards, but it is an empty oracle beforehand.
Sec. 6. If then "logic" is unable to express the nature of our forward looking interest in the unexperienced and unpredictable, perhaps the empirical fact will speak for itself. We call things new; we recognize their novelty and their novelty excites our interest. But just as we are sometimes told that we can only _know_ the new in terms of its resemblances to what we have known before, so it may be held that in the end we can _desire_ it only on the like condition. Are we, then, to conclude that the seeming novelty of things new is an illusion, or shall we hold, on the contrary, that novelty need not be explained away and that a spontaneous constructive interest stands more or less constantly ready in us to go out to meet it and possess it?
Unquestionably, let us say the latter. Any new commodity will, of course, resemble in part or in a general way some old one. It is said that bath-tubs are sometimes used in "model tenements" as coal-bins. Old uses persist unchanged in the presence of new possibilities. But in general new possibilities invite interest and effort because our experimental and constructive bent contrives on the whole to make head against habituation and routine. We recognize the new as new. And if it be contended that novelty in its own right cannot be a ground of interest, that novelty must first get restatement as the old with certain "accidents" externally adhering, the answer is that the "accidents" interest us nevertheless. They may prove their right to stand as the very essence of some new "kind" that one may wish to let take form and character for him. Instead of the chips and shavings, they are in fact the raw material of the logical process. For if we can know the new _as new_, if we can know the "accident" _as accidental_ in a commodity before us, the fact betrays an incipient interest in the quality or aspect that its novelty or contingency at least does not thwart. And is this quite all? Will it be disputed that a _relation_ of a quality or feature to ourselves which we can know, name, and recognize--like "novelty"--must be known, as anything else is known, through an interest of which it is the appropriate terminus?[46] And there is no difficulty in pointing to instances in which the character of novelty seems fundamental. Consider, for example, the interest one feels in spending a day with a friend or in making a new acquaintance or, say, in entering on the cares of parenthood. Or again, take the impulse toward research, artistic creation, or artistic study and appreciation. Or again, take the interest in topography and exploration. That there is in such phenomena as these a certain essentially and irreducibly forward look, a certain residual freedom of our interest and effort from dependence on the detail of prior experience down to date, probably few persons without ulterior philosophical prepossessions will dispute. If we call these phenomena instinctive we are using the term in a far more loose and general sense than it seems to have in the best usage of animal psychology. If we call them attitudes or dispositions, such a term has at least the negative merit of setting them apart from the class of instinctive acts, but it may carry with it a connotation of fixity and unconsciousness that after all surrenders the essential distinction. It will suffice to look at a single one of these instances.
In friendship, for example, there is undoubtedly strongly operative a desire for the mere recurrence, in our further friendly intercourse, of certain values that have become habitual and familiar. We may have long known and become attached to a friend's tones of voice, peculiarities of manner and external appearance, turns of speech and thought and the like, which we miss in absence and which give us pleasure when we meet the friend again. But if the friendship is not one of "pleasure" or "utility" simply, but of "virtue"[47] as well, there is also present on both sides a constructive or progressive or creative interest. And this interest, stated on its self-regarding and introspective side, is more than a desire for the mere grateful recurrence of the old looks and words "recoined at the old mint." It is an interest looking into the "undone vast," an interest in an indefinite prolongation, an infinite series, of joint experiences the end of which cannot and need not be foreseen and the nature of which neither can nor need be forecasted. And there is the same characteristic in all the other instances mentioned in this connection. It is not a desire for recurrent satisfactions of a determinate type, but an interest in the active development of unexperienced and indeterminate possibilities. If finally the question be pressed, how there can be an interest of this seemingly self-contradictory type in human nature, the answer can only be that we must take the facts as we find them. Is such a conception inherently more difficult than the view that all ramifications and developments of human interest are concretely predetermined and implicit _a priori_? To ignore or deny palpable fact because it eludes the reach of a current type of conceptual analysis is to part company with both science and philosophy. We are in fact here dealing with the essential mark and trait of what is called self-conscious process. If there are ultimates and indefinables in this world of ours, self-consciousness may as fairly claim the dignity or avow the discredit as any other of the list.
Sec. 7. Does our interest in economic goods on occasion exhibit the trait of which we are here speaking? Precisely this is our present contention.
And yet it seems not too much to say that virtually all economic theory, whether the classical or the present dominant type that has drawn its terminology and working concepts from the ostensible psychology of the Austrian School, is founded upon the contradictory assumption. The economic interest, our desire and esteem for solid and matter-of-fact things like market commodities and standardized market services, has been conceived as nothing visionary and speculative, as no peering into the infinite or outreaching of an inexpressible discontent, but an intelligent, clear-eyed grasping and holding of known satisfactions for measured and acknowledged desires. Art and religion, friendship and love, sport and adventure, morality and legislation, these all may be fields for the free play and constructive experimentation of human faculty, but in our economic efforts and relations we are supposed to tread the solid ground of fact. Business is business. Waste not, want not. First a living, then (perhaps) a "good life."[48] And we are assured one need not recoil from the hard logic of such maxims, for they do not dispute the existence of spacious (and well-shaded) suburban regions fringing the busy areas of industry and commerce.
Such is the assumption. We have said that it precludes the admission of speculation as an economic factor. Speculation for economic theory is a purely commercial phenomenon, a hazarding of capital on the supposition that desires will be found ready and waiting for the commodity produced--with a sufficient offering of purchasing power to afford a profit. And the "creation of demand," where this is part of the program of speculative enterprise, means the arousal of a "dormant" or implicit desire, in the sense above discussed--there is nothing, at all events, in other parts of current theory to indicate a different conception. The economist will probably contend that what the process of the creation of demand may _be_ is not his but the psychologist's affair; that his professional concern is only whether or not the economic demand, as an objective market fact, be actually forthcoming. But what we here contend for as a fact of economic experience is a speculation that is in the nature of personal adventure and not simply an "adventuring of stock."
Sec. 8. For what is the nature of the economic "experience" or situation, considered as a certain type of juncture in the life of an individual?
It may be shortly described as the process of determining how much of one's time, strength, or external resources of any sort shall be expended for whatever one is thinking of doing or acquiring. Two general motives enter here to govern the estimate and each may show the routine or the innovative phase. In any work there is possible, first, more or less of the workman's interest--an interest not merely in a conventional standard of excellence in the finished result but also in betterment of the standard and in a corresponding heightened excellence of technique and spirit in the execution.[49] These interests, without reference to the useful result and "for their own sake" (i.e., for the workman's sake, in ways not specifiable in advance), may command a share of one's available time, strength, and resources. In the second place, any work or effort or offer to give in exchange has a nameable result of some kind in view--a crop of wheat, a coat, a musical rendition, or the education of a child. Why are such things "produced" or sought for?
Verbally and platitudinously one may answer: For the sake of the "satisfactions" they are expected to afford. But such an answer ignores the contrast of attitudes that both workmanship and productive or acquisitive effort in the ordinary sense display. As the workman may conform to his standard or may be ambitious to surpass it, so the intending consumer may be counting on known satisfactions or hoping for satisfactions of a kind that he has never known before. Both sorts of effort may be of either the routine or the innovative type. In neither workmanship nor acquisition can one fix upon routine as the "normal" type, hoping to derive or to explain away the inevitable residue of "outstanding cases." For as a matter of fact the outstanding cases prove to be our only clue to a knowledge of how routine is made.[50] The above formula will apply, with the appropriate changes of emphasis, to buyers and sellers in an organized market, as well as to the parties to a simple transaction of barter. Two main empirical characteristics of the economic situation are suggested in putting the statement in just these terms. In the first place, the primary problem in such a situation is that of "exchange valuation," the fixation of a "subjective" (or better, a "personal") price ratio between what the agent wishes to acquire and whatever it is that he offers in exchange. The agent thus is engaged in determining what shall be the relative importance for himself of _two_ commodities or exchangeable goods. And in the second place these goods get their values determined together and in relation to each other, never singly and with a view to _subsequent_ comparison. These values when they have been determined will be measured in terms of marginal utility in accordance with familiar principles, but the marginal utilities that are to express the attained and accepted ratio at which exchange eventually takes place are not known quantities at all in the inception of the process of comparison. If these dogmatic statements seem to issue in hopeless paradox or worse, then let us not fear to face the paradox and fix its lines with all possible distinctness. Can a man decide to offer so much of one commodity for so much of another unless he _first_ has settled what each is worth to him in some intelligible terms or other? And is not this latter in point of fact the real decision--at all events clearly more than half the battle?
Does not the exchange ratio to which one can agree "leap to the eyes," in fact, as soon as the absolute values in the case have been once isolated and given numerical expression?
In a single word we here join issue. For the comparison in such a case is _constructive comparison_, not a mechanical measuring of fixed magnitudes, as the above objection tacitly assumes. And constructive comparison is essentially a transitive or inductive operation whereby the agent moves from one level to another, altering his standard of living in some more or less important way, embarking upon a new interest, entering upon the formation of a new habit or upon a new accession of power or effectiveness--making or seeking to make, in short, some transformation in his environment and in himself that shall give his life as an entire system a changed tenor and perspective. The term "constructive comparison" is thus intended, among other things, to suggest that the process is in the nature of adventure, not calculation, and, on the other hand, that though adventurous it is not sheer hazard uncontrolled. And the motive dominant throughout the process--the economic motive in its constructive phase--is neither more nor less than a supposition, on the agent's part, that there may be forthcoming for him in the given case in hand just such an "epigenetic" development of new significance and value as we have found actual history to disclose as a normal result of economic innovation. It is the gist of hedonism, in economic theory as in its other expressions, that inevitably the agent's interests and motives are restricted in every case to the precise range and scope of his existing tendencies and desires; he can be provoked to act only by the hope of just those particular future pleasures or means of pleasure which the present constitution of his nature enables him to enjoy. Idealism assumes that the emergent new interest of the present was wrapped up or "implied," in some sense, in the interests of the remote and immediate past--interests of which the agent at the time could of course be but "imperfectly" aware. Such differences as one can discern between the two interpretations seem small indeed--like many others to which idealism has been wont to point in disparagement of the hedonistic world view. For in both philosophies the agent is without initiative and effect; he is in principle but the convergence of impersonal motive powers which it is, in the one view, absurdly futile, in the other misguidedly presumptuous, to try to alter or control.
Sec. 9. A commodity sought or encountered may then be of interest to us for reasons of the following three general sorts. In the first place it may simply be the normal and appropriate object of some established desire of ours. We may be seeking the commodity because this desire has first become active, or encountering the commodity in the market may have suddenly awakened the desire. Illustration seems superfluous; tobacco for the habitual smoker, clothing of most sorts for the ordinary person, regular supplies of the household staples--these will suffice. This is the province within which a hedonistic account of the economic motive holds good with a cogency that anti-hedonistic criticism has not been able to dissolve. Our outlays for such things as these may as a rule be held in their due and proper relation to each other--at all events in their established or "normal" relation--simply by recalling at critical times our relative marginal likes and dislikes for them. That these likes and dislikes are not self-explanatory, that they are concrete expectations and not abstract affective elements, does not seem greatly to matter where the issue lies between maintaining or renouncing an existing schedule of consumption. And in this same classification belong also industrial and commercial expenditures of a similarly routine sort.
Even where the scale of operations is being enlarged, expenditures for machines, fuel, raw materials, and labor may have been so carefully planned in advance with reference to the desired increase of output or pecuniary profit that no special problem of motivation attaches directly to them. And these outlays are so important in industry and commerce that the impression comes easily to prevail that all business undertaking, and then all consumption of finished goods, fall under the simple hedonistic type.
But if we keep to the plane of final consumption, there appears a second sort of situation. Our interest in the commodity before us may be due to a suggestion of some sort that prompts us to take a step beyond the limits that our present formed desires mark out. The suggestion may be given by adroit advertising, by fashion, by the habits of another class to which one may aspire or by a person to whom one may look as guide, philosopher, and friend. An authority of one sort or another invites or constrains us to take the merits of the article on trust. Actual trial and use may show, not so much that it can minister to a latent desire as that we have been able through its use to form a habit that constitutes a settled need.
And, finally, in the third place, there is a more spontaneous and intrinsically personal type of interest which is very largely independent of suggestion or authority. A thing of beauty, a new author, a new acquaintance, a new sport or game, a new convenience or mechanical device may challenge one's curiosity and powers of appreciation, may seem to offer a new facility in action or some unimagined release from labor or restriction. The adventure of marriage and parenthood, the intimate attraction of great music, the mystery of an unknown language or a forbidden country, the disdainful aloofness of a mountain peak dominating a landscape are conspicuous instances inviting a more spontaneous type of constructive interest that finds abundant expression also in the more commonplace situations and emergencies of everyday life. It is sheer play upon words to speak in such cases of a pleasure of adventurousness, a pleasure of discovery, a pleasure of conquest and mastery, assigning this as the motive in order to bring these interests to the type that fits addiction to one's particular old coat or easy-chair. The specific "pleasure" alleged could not exist were the tendency not active beforehand. While the same is true in a sense for habitual concrete pleasures in relation to their corresponding habits, the irreducible difference in constructive interest as a type lies in the _transition_ which this type of interest purposes and effects from one level of concrete or substantive desire and pleasure to another.
Here one consciously looks to a result that he cannot foresee or foretell; in the other type his interest as interest goes straight to its mark, sustained by a confident forecast.[51] Sec. 10. But constructive interests, whether provoked by suggestion or of the more freely imaginative type, may, as has been said, be held to lie outside the scope of economic theory. How a desire for a certain thing has come to get expression may seem quite immaterial--economically speaking. Economics has no concern with human folly as such or human imitativeness, or human aspiration high or low or any other of the multitude of motives that have to do with secular changes in the "standard of living" and in the ideals of life at large. It has no concern with anything that lies behind the fact that I am in the market with my mind made up to buy or sell a thing at a certain price. And the answer to this contention must be that it first reverses and then distorts the true perspective of our economic experience. Let it be admitted freely--indeed, let it be insisted on--that the definition of a science must be determined by the pragmatic test. If an economist elects to concern himself with the problems of what has been called the "loose mechanics of trade" there can be no question of his right to do so or of the importance of the services he may render thereby, both to theory and to practice. But on the other hand economic theory cannot be therefore, once and for all, made a matter of accounting--to the effacement of all problems and aspects of problems of which the accountant has no professional cognizance. Just this, apparently, is what it means to level down all types of interest to the hedonistic, leaving aside as "extra-economic" those that too palpably resist the operation. It is acknowledged that freshly suggested modes of consumption and ends of effort require expenditure and sacrifice no less than the habitual, that the exploration of Tibet or of the Polar Seas affects the market for supplies not less certainly than the scheduled voyages of oceanic liners. Moreover, behind these scheduled voyages there are all the varied motives that induce people to travel and the desires that lead to the shipment of goods. Shall it be said that all of these motives and desires must be traceable back to settled habits of behavior and consumption? And if this cannot be maintained is it not hazardous to assume that such general problems of economic theory as the determination of market values or of the shares in distribution require no recognition of the other empirical types of interest? These types, if they are genuine, are surely important; they may well prove to be, in many ways, fundamentally important. For a commodity that has become habitual must once have been new and untried.
Sec. 11. The economic demands which make up the budget of a particular person at a particular time are clearly interdependent. A man's income or the greater part of it is usually distributed among various channels of expenditure in a certain fairly constant way. In proportion to the definiteness of this distribution and the resoluteness with which it is maintained does the impression gain strength that the man is carrying out a consistent plan of some sort. Such a regular plan of expenditure may be drawn out into a schedule, setting forth the amounts required at a certain price for the unit of each kind. And such a schedule is an expression in detail, in terms of ways and means, of the type of life one has elected to lead. For virtually any income above the level of bare physical subsistence, there will be an indefinite number of alternative budgets possible. A little less may be spent for household conveniences and adornments and a little more for food. Some recreations may be sacrificed for an occasional book or magazine. One may build a house or purchase a motor-car instead of going abroad. And whichever choice is made, related expenditures must be made in consequence for which, on the assumption of a definite amount of income, compensation must be made by curtailment of outlay at other points. What seems clear in general is that one's total budget is relative to the general plan and manner of life one deems for him the best possible and that this plan, more or less definitely formulated, more or less steadily operative, is what really determines how far expenditure shall go in this direction and in that. The budget as a whole will define for the individual an equilibrium among his various recognized wants; if the work of calculating it has been carefully done there will be for the time being no tendency to change in any item.
If, then, we choose to say in such a case that the individual carries his expenditure along each line to the precise point at which the last or marginal utility enjoyed is precisely equal to the marginal utility on every other line, it seems not difficult to grasp what such a statement means. Quite harmlessly, all that it can mean is that the individual has planned precisely what he has planned and is not sorry for it, and for the time being does not think he can improve upon it. As there is one earth drawing toward its center each billiard ball of the