comprehend these respective attitudes in their relation and due balance, could hardly fail to promote the capacity of peoples to profit by one another's experience and to co-operate more effectually with one another in the tasks of fruitful culture.
Indeed, it is incredible that the question of the relation of the "real" and the "ideal" should ever have been thought to be a problem belonging distinctively to philosophy. The very fact that this most serious of all human issues has been taken possession of by philosophy is only another proof of the disasters that follow in the wake of regarding knowledge and intellect as something self-sufficient. Never have the "real" and the "ideal" been so clamorous, so self-assertive, as at the present time. And never in the history of the world have they been so far apart.
The world war was carried on for purely ideal ends:--for humanity, justice and equal liberty for strong and weak alike. And it was carried on by realistic means of applied science, by high explosives, and bombing airplanes and blockading marvels of mechanism that reduced the world well nigh to ruin, so that the serious-minded are concerned for the perpetuity of those choice values we call civilization. The peace settlement is loudly proclaimed in the name of the ideals that stir man's deepest emotions, but with the most realistic attention to details of economic advantage distributed in proportion to physical power to create future disturbances.
It is not surprising that some men are brought to regard all idealism as a mere smoke-screen behind which the search for material profit may be more effectually carried on, and are converted to the materialistic interpretation of history. "Reality" is then conceived as physical force and as sensations of power, profit and enjoyment; any politics that takes account of other factors, save as elements of clever propaganda and for control of those human beings who have not become realistically enlightened, is based on illusions. But others are equally sure that the real lesson of the war is that humanity took its first great wrong step when it entered upon a cultivation of physical science and an application of the fruits of science to the improvement of the instruments of life--industry and commerce. They will sigh for the return of the day when, while the great mass died as they were born in animal fashion, the few elect devoted themselves not to science and the material decencies and comforts of existence but to "ideal" things, the things of the spirit.
Yet the most obvious conclusion would seem to be the impotency and the harmfulness of any and every ideal that is proclaimed wholesale and in the abstract, that is, as something in itself apart from the detailed concrete existences whose moving possibilities it embodies. The true moral would seem to lie in enforcing the tragedy of that idealism which believes in a spiritual world which exists in and by itself, and the tragic need for the most realistic study of forces and consequences, a study conducted in a more scientifically accurate and complete manner than that of the professed _Real-politik_. For it is not truly realistic or scientific to take short views, to sacrifice the future to immediate pressure, to ignore facts and forces that are disagreeable and to magnify the enduring quality of whatever falls in with immediate desire.
It is false that the evils of the situation arise from absence of ideals; they spring from wrong ideals. And these wrong ideals have in turn their foundation in the absence in social matters of that methodic, systematic, impartial, critical, searching inquiry into "real" and operative conditions which we call science and which has brought man in the technical realm to the command of physical energies.
Philosophy, let it be repeated, cannot "solve" the problem of the relation of the ideal and the real. That is the standing problem of life. But it can at least lighten the burden of humanity in dealing with the problem by emancipating mankind from the errors which philosophy has itself fostered--the existence of conditions which are real apart from their movement into something new and different, and the existence of ideals, spirit and reason independent of the possibilities of the material and physical. For as long as humanity is committed to this radically false bias, it will walk forward with blinded eyes and bound limbs. And philosophy can effect, if it will, something more than this negative task. It can make it easier for mankind to take the right steps in action by making it clear that a sympathetic and integral intelligence brought to bear upon the observation and understanding of concrete social events and forces, can form ideals, that is aims, which shall not be either illusions or mere emotional compensations.
CHAPTER VI THE SIGNIFICANCE OF LOGICAL RECONSTRUCTION Logic--like philosophy itself--suffers from a curious oscillation. It is elevated into the supreme and legislative science only to fall into the trivial estate of keeper of such statements as A is A and the scholastic verses for the syllogistic rules. It claims power to state the laws of the ultimate structure of the universe, on the ground that it deals with the laws of thought which are the laws according to which Reason has formed the world. Then it limits its pretensions to laws of correct reasoning which is correct even though it leads to no matter of fact, or even to material falsity. It is regarded by the modern objective idealist as the adequate substitute for ancient ontological metaphysics; but others treat it as that branch of rhetoric which teaches proficiency in argumentation. For a time a superficial compromise equilibrium was maintained wherein the logic of formal demonstration which the Middle Ages extracted from Aristotle was supplemented by an inductive logic of discovery of truth that Mill extracted from the practice of scientific men. But students of German philosophy, of mathematics, and of psychology, no matter how much they attacked one another, have made common cause in attack upon the orthodox logics both of deductive proof and inductive discovery.
Logical theory presents a scene of chaos. There is little agreement as to its subject-matter, scope or purpose. This disagreement is not formal or nominal but affects the treatment of every topic. Take such a rudimentary matter as the nature of judgment. Reputable authority can be quoted in behalf of every possible permutation of doctrine. Judgment is the central thing in logic; and judgment is not logical at all, but personal and psychological. If logical, it is the primary function to which both conception and inference are subordinate; and it is an after-product from them. The distinction of subject and predicate is necessary, and it is totally irrelevant; or again, though it is found in some cases, it is not of great importance. Among those who hold that the subject-predicate relationship is essential, some hold that judgment is an analysis of something prior into them, and others assert that it is a synthesis of them into something else. Some hold that reality is always the subject of judgment, and others that "reality" is logically irrelevant. Among those who deny that judgment is the attribution of predicate to subject, who regard it as a relation of elements, some hold that the relation is "internal," some that it is "external," and others that it is sometimes one and sometimes the other.
Unless logic is a matter of some practical account, these contrarieties are so numerous, so extensive, and so irreconcilable that they are ludicrous. If logic is an affair of practical moment, then these inconsistencies are serious. They testify to some deep-lying cause of intellectual disagreement and incoherency. In fact, contemporary logical theory is the ground upon which all philosophical differences and disputes are gathered together and focussed. How does the modification in the traditional conception of the relation of experience and reason, the real and ideal affect logic?
It affects, in the first place, the nature of logic itself. If thought or intelligence is the means of intentional reconstruction of experience, then logic, as an account of the procedure of thought, is not purely formal. It is not confined to laws of formally correct reasoning apart from truth of subject-matter. Neither, on the contrary, is it concerned with the inherent thought structures of the universe, as Hegel's logic would have it; nor with the successive approaches of human thought to this objective thought structure as the logic of Lotze, Bosanquet, and other epistemological logicians would have it. If thinking is the way in which deliberate reorganization of experience is secured, then logic is such a clarified and systematized formulation of the procedures of thinking as will enable the desired reconstruction to go on more economically and efficiently. In language familiar to students, logic is both a science and an art; a science so far as it gives an organized and tested descriptive account of the way in which thought actually goes on; an art, so far as on the basis of this description it projects methods by which future thinking shall take advantage of the operations that lead to success and avoid those which result in failure.
Thus is answered the dispute whether logic is empirical or normative, psychological or regulative. It is both. Logic is based on a definite and executive supply of empirical material. Men have been thinking for ages. They have observed, inferred, and reasoned in all sorts of ways and to all kinds of results. Anthropology, the study of the origin of myth, legend and cult; linguistics and grammar; rhetoric and former logical compositions all tell us how men have thought and what have been the purposes and consequences of different kinds of thinking.
Psychology, experimental and pathological, makes important contributions to our knowledge of how thinking goes on and to what effect. Especially does the record of the growth of the various sciences afford instruction in those concrete ways of inquiry and testing which have led men astray and which have proved efficacious. Each science from mathematics to history exhibits typical fallacious methods and typical efficacious methods in special subject-matters. Logical theory has thus a large, almost inexhaustible field of empirical study.
The conventional statement that experience only tells us how men have thought or _do_ think, while logic is concerned with norms, with how men _should_ think, is ludicrously inept. Some sorts of thinking are shown _by_ experience to have got nowhere, or worse than nowhere--into systematized delusion and mistake. Others have proved in manifest experience that they lead to fruitful and enduring discoveries. It is precisely in experience that the different consequences of different methods of investigation and ratiocination are convincingly shown. The parrot-like repetition of the distinction between an empirical description of what is and a normative account of what should be merely neglects the most striking fact about thinking as it empirically is--namely, its flagrant exhibition of cases of failure and success--that is, of good thinking and bad thinking. Any one who considers this empirical manifestation will not complain of lack of material from which to construct a _regulative_ art. The more study that is given to empirical records of actual thought, the more apparent becomes the connection between the specific features of thinking which have produced failure and success. Out of this relationship of cause and effect as it is empirically ascertained grow the norms and regulations of an art of thinking.
Mathematics is often cited as an example of purely normative thinking dependent upon _a priori_ canons and supra-empirical material. But it is hard to see how the student who approaches the matter historically can avoid the conclusion that the status of mathematics is as empirical as that of metallurgy. Men began with counting and measuring things just as they began with pounding and burning them. One thing, as common speech profoundly has it, led to another. Certain ways were successful--not merely in the immediately practical sense, but in the sense of being interesting, of arousing attention, of exciting attempts at improvement.
The present-day mathematical logician may present the structure of mathematics as if it had sprung all at once from the brain of a Zeus whose anatomy is that of pure logic. But, nevertheless, this very structure is a product of long historic growth, in which all kinds of experiments have been tried, in which some men have struck out in this direction and some in that, and in which some exercises and operations have resulted in confusion and others in triumphant clarifications and fruitful growths; a history in which matter and methods have been constantly selected and worked over on the basis of empirical success and failure.
The structure of alleged normative _a priori_ mathematics is in truth the crowned result of ages of toilsome experience. The metallurgist who should write on the most highly developed method of dealing with ores would not, in truth, proceed any differently. He too selects, refines, and organizes the methods which in the past have been found to yield the maximum of achievement. Logic is a matter of profound human importance precisely because it is empirically founded and experimentally applied.
So considered, the problem of logical theory is none other than the problem of the possibility of the development and employment of intelligent method in inquiries concerned with deliberate reconstruction of experience. And it is only saying again in more specific form what has been said in general form to add that while such a logic has been developed in respect to mathematics and physical science, intelligent method, logic, is still far to seek in moral and political affairs.
Assuming, accordingly, this idea of logic without argument, let us proceed to discuss some of its chief features. First, light is thrown by the _origin_ of thinking upon a logic which shall be a method of intelligent guidance of experience. In line with what has already been said about experience being a matter primarily of behavior, a sensori-motor matter, is the fact that thinking takes its departure from specific conflicts in experience that occasion perplexity and trouble.
Men do not, in their natural estate, think when they have no troubles to cope with, no difficulties to overcome. A life of ease, of success without effort, would be a thoughtless life, and so also would a life of ready omnipotence. Beings who think are beings whose life is so hemmed in and constricted that they cannot directly carry through a course of action to victorious consummation. Men also do not tend to think when their action, when they are amid difficulties, is dictated to them by authority. Soldiers have difficulties and restrictions in plenty, but _qua soldiers_ (as Aristotle would say) they are not notorious for being thinkers. Thinking is done for them, higher up. The same is too true of most workingmen under present economic conditions. Difficulties occasion thinking only when thinking is the imperative or urgent way out, only when it is the indicated road to a solution. Wherever external authority reigns, thinking is suspected and obnoxious.
Thinking, however, is not the only way in which a personal solution of difficulties is sought. As we have seen, dreams, reveries, emotional idealizations are roads which are taken to escape the strain of perplexity and conflict. According to modern psychology, many systematized delusions and mental disorders, probably hysteria itself, originate as devices for getting freedom from troublesome conflicting factors. Such considerations throw into relief some of the traits essential to thinking as a way of responding to difficulty. The short-cut "solutions" alluded to do not get rid of the conflict and problems; they only get rid of the feeling of it. They cover up consciousness of it. Because the conflict remains in fact and is evaded in thought, disorders arise.
The first distinguishing characteristic of thinking then is facing the facts--inquiry, minute and extensive scrutinizing, observation. Nothing has done greater harm to the successful conduct of the enterprise of thinking (and to the logics which reflect and formulate the undertaking) than the habit of treating observation as something outside of and prior to thinking, and thinking as something which can go on in the head without _including_ observation of new facts as part of itself. Every approximation to such "thinking" is really an approach to the method of escape and self-delusion just referred to. It substitutes an emotionally agreeable and rationally self-consistent train of meanings for inquiry into the features of the situation which cause the trouble. It leads to that type of Idealism which has well been termed intellectual somnambulism. It creates a class of "thinkers" who are remote from practice and hence from testing their thought by application--a socially superior and irresponsible class. This is the condition causing the tragic division of theory and practice, and leading to an unreasonable exaltation of theory on one side and an unreasonable contempt for it on the other. It confirms current practice in its hard brutalities and dead routines just because it has transferred thinking and theory to a separate and nobler region. Thus has the idealist conspired with the materialist to keep actual life impoverished and inequitable.
The isolation of thinking from confrontation with facts encourages that kind of observation which merely accumulates brute facts, which occupies itself laboriously with mere details, but never inquires into their meaning and consequences--a safe occupation, for it never contemplates any use to be made of the observed facts in determining a plan for changing the situation. Thinking which is a method of reconstructing experience treats observation of facts, on the other hand, as the indispensable step of defining the problem, of locating the trouble, of forcing home a definite, instead of a merely vague emotional, sense of what the difficulty is and where it lies. It is not aimless, random, miscellaneous, but purposeful, specific and limited by the character of the trouble undergone. The purpose is so to clarify the disturbed and confused situation that reasonable ways of dealing with it may be suggested. When the scientific man appears to observe aimlessly, it is merely that he is so in love with problems as sources and guides of inquiry, that he is striving to turn up a problem where none appears on the surface: he is, as we say, hunting for trouble because of the satisfaction to be had in coping with it.
Specific and wide observation of concrete fact always, then, corresponds not only with a sense of a problem or difficulty, but with some vague sense of the _meaning_ of the difficulty, that is, of what it imports or signifies in subsequent experience. It is a kind of anticipation or prediction of what is coming. We speak, very truly, of _impending_ trouble, and in observing the signs of what the trouble is, we are at the same time expecting, forecasting--in short, framing an _idea_, becoming aware of meaning. When the trouble is not only impending but completely actual and present, we are overwhelmed. We do not think, but give way to depression. The kind of trouble that occasions thinking is that which is incomplete and developing, and where what is found, already in existence can be employed as a sign from which to infer what is likely to come. When we intelligently observe, we are, as we say apprehensive, as well as apprehending. We are on the alert for something still to come. Curiosity, inquiry, investigation, are directed quite as truly into what is going to happen next as into what has happened. An intelligent interest in the latter is an interest in getting evidence, indications, symptoms for inferring the former. Observation is diagnosis and diagnosis implies an interest in anticipation and preparation. It makes ready in advance an attitude of response so that we shall not be caught unawares.
That which is not already in existence, that which is only anticipated and inferred, cannot be observed. It does not have the status of fact, of something given, a datum, but of a meaning, an idea. So far as ideas are not fancies, framed by emotionalized memory for escape and refuge, they are precisely anticipations of something still to come aroused by looking into the facts of a developing situation. The blacksmith watches his iron, its color and texture, to get evidence of what it is getting ready to pass into; the physician observes his patient to detect symptoms of change in some definite direction; the scientific man keeps his attention upon his laboratory material to get a clue as to what _will_ happen under certain conditions. The very fact that observation is not an end in itself but a search for evidence and signs shows that along with observation goes inference, anticipatory forecast--in short an idea, thought or conception.
In a more technical context, it would be worth while to see what light this logical correspondence of observed fact and projected idea or meaning throws upon certain traditional philosophical problems and puzzles, including that of subject and predicate in judgment, object and subject in knowledge, "real" and "ideal" generally. But at this time, we must confine ourselves to pointing out that this view of the correlative origin and function of observed fact and projected idea in experience, commits us to some very important consequences concerning the nature of ideas, meanings, conceptions, or whatever word may be employed to denote the specifically _mental_ function. Because they are suggestions of something that may happen or eventuate, they are (as we saw in the case of ideals generally) platforms of response to what is going on. The man who detects that the cause of his difficulty is an automobile bearing down upon him is not guaranteed safety; he may have made his observation-forecast too late. But if his anticipation-perception comes in season, he has the basis for doing something which will avert threatening disaster. Because he foresees an impending result, he may do something that will lead to the situation eventuating in some other way. All intelligent thinking means an increment of freedom in action--an emancipation from chance and fatality. "Thought" represents the suggestion of a way of response that is different from that which would have been followed if intelligent observation had not effected an inference as to the future.
Now a method of action, a mode of response, intended to produce a certain result--that is, to enable the blacksmith to give a certain form to his hot iron, the physician to treat the patient so as to facilitate recovery, the scientific experimenter to draw a conclusion which will apply to other cases,--is by the nature of the case tentative, uncertain till tested by its results. The significance of this fact for the theory of truth will be discussed below. Here it is enough to note that notions, theories, systems, no matter how elaborate and self-consistent they are, must be regarded as hypotheses. They are to be accepted as bases of actions which test them, not as finalities. To perceive this fact is to abolish rigid dogmas from the world. It is to recognize that conceptions, theories and systems of thought are always open to development through use. It is to enforce the lesson that we must be on the lookout quite as much for indications to alter them as for opportunities to assert them. They are tools. As in the case of all tools, their value resides not in themselves but in their capacity to work shown in the consequences of their use.
Nevertheless, inquiry is free only when the interest in knowing is so developed that thinking carries with it something worth while for itself, something having its own esthetic and moral interest. Just because knowing is not self-enclosed and final but is instrumental to reconstruction of situations, there is always danger that it will be subordinated to maintaining some preconceived purpose or prejudice. Then reflection ceases to be complete; it falls short. Being precommitted to arriving at some special result, it is not sincere. It is one thing to say that all knowing has an end beyond itself, and another thing, a thing of a contrary kind, to say that an act of knowing has a particular end which it is bound, in advance, to reach. Much less is it true that the instrumental nature of thinking means that it exists for the sake of attaining some private, one-sided advantage upon which one has set one's heart. Any limitation whatever of the end means limitation in the thinking process itself. It signifies that it does not attain its full growth and movement, but is cramped, impeded, interfered with. The only situation in which knowing is fully stimulated is one in which the end is developed in the process of inquiry and testing.
Disinterested and impartial inquiry is then far from meaning that knowing is self-enclosed and irresponsible. It means that there is no particular end set up in advance so as to shut in the activities of observation, forming of ideas, and application. Inquiry is emancipated.
It is encouraged to attend to every fact that is relevant to defining the problem or need, and to follow up every suggestion that promises a clue. The barriers to free inquiry are so many and so solid that mankind is to be congratulated that the very act of investigation is capable of itself becoming a delightful and absorbing pursuit, capable of enlisting on its side man's sporting instincts.
Just in the degree in which thought ceases to be held down to ends fixed by social custom, a social division of labor grows up. Investigation has become a dominant life occupation for some persons. Only superficially, however, does this confirm the idea that theory and knowledge are ends in themselves. They are, relatively speaking, ends in themselves for some persons. But these persons represent a social division of labor; and their specialization can be trusted only when such persons are in unobstructed co-operation with other social occupations, sensitive to others' problems and transmitting results to them for wider application in action. When this social relationship of persons particularly engaged in carrying on the enterprise of knowing is forgotten and the class becomes isolated, inquiry loses stimulus and purpose. It degenerates into sterile specialization, a kind of intellectual busy work carried on by socially absent-minded men. Details are heaped up in the name of science, and abstruse dialectical developments of systems occur. Then the occupation is "rationalized" under the lofty name of devotion to truth for its own sake. But when the path of true science is retaken these things are brushed aside and forgotten. They turn out to have been the toyings of vain and irresponsible men. The only guarantee of impartial, disinterested inquiry is the social sensitiveness of the inquirer to the needs and problems of those with whom he is associated.
As the instrumental theory is favorable to high esteem for impartial and disinterested inquiry, so, contrary to the impressions of some critics, it sets much store upon the apparatus of deduction. It is a strange notion that because one says that the cognitive value of conceptions, definitions, generalizations, classifications and the development of consecutive implications is not self-resident, that therefore one makes light of the deductive function, or denies its fruitfulness and necessity. The instrumental theory only attempts to state with some scrupulousness _where_ the value is found and to prevent its being sought in the wrong place. It says that knowing begins with specific observations that define the problem and ends with specific observations that test a hypothesis for its solution. But that the idea, the meaning, which the original observations suggest and the final ones test, itself requires careful scrutiny and prolonged development, the theory would be the last to deny. To say that a locomotive is an agency, that it is intermediate between a need in experience and its satisfaction, is not to depreciate the worth of careful and elaborate construction of the locomotive, or the need of subsidiary tools and processes that are devoted to introducing improvements into its structure. One would rather say that _because_ the locomotive is intermediary in experience, not primary and not final, it is impossible to devote too much care to its constructive development.
Such a deductive science as mathematics represents the perfecting of method. That a method to those concerned with it should present itself as an end on its own account is no more surprising than that there should be a distinct business for making any tool. Rarely are those who invent and perfect a tool those who employ it. There is, indeed, one marked difference between the physical and the intellectual instrumentality. The development of the latter runs far beyond any immediately visible use. The artistic interest in perfecting the method by itself is strong--as the utensils of civilization may themselves become works of finest art. But from the practical standpoint this difference shows that the advantage as an instrumentality is on the side of the intellectual tool. Just because it is not formed with a special application in mind, because it is a highly generalized tool, it is the more flexible in adaptation to unforeseen uses. It can be employed in dealing with problems that were not anticipated. The mind is prepared in advance for all sorts of intellectual emergencies, and when the new problem occurs it does not have to wait till it can get a special instrument ready.
More definitely, abstraction is indispensable if one experience is to be applicable in other experiences. Every concrete experience in its totality is unique; it is itself, non-reduplicable. Taken in its full concreteness, it yields no instruction, it throws no light. What is called abstraction means that some phase of it is selected for the sake of the aid it gives in grasping something else. Taken by itself, it is a mangled fragment, a poor substitute for the living whole from which it is extracted. But viewed teleologically or practically, it represents the only way in which one experience can be made of any value for another--the only way in which something enlightening can be secured.
What is called false or vicious abstractionism signifies that the _function_ of the detached fragment is forgotten and neglected, so that it is esteemed barely in itself as something of a higher order than the muddy and irregular concrete from which it was wrenched. Looked at functionally, not structurally and statically, abstraction means that something has been released from one experience for transfer to another.
Abstraction is liberation. The more theoretical, the more abstract, an abstraction, or the farther away it is from anything experienced in its concreteness, the better fitted it is to deal with any one of the indefinite variety of things that may later present themselves. Ancient mathematics and physics were much nearer the gross concrete experience than are modern. For that very reason they were more impotent in affording any insight into and control over such concretes as present themselves in new and unexpected forms.
Abstraction and generalization have always been recognized as close kin.
It may be said that they are the negative and positive sides of the same function. Abstraction sets free some factor so that it may be used.
Generalization is the use. It carries over and extends. It is always in some sense a leap in the dark. It is an adventure. There can be no assurance in advance that what is extracted from one concrete can be fruitfully extended to another individual case. Since these other cases are individual and concrete they _must_ be dissimilar. The trait of flying is detached from the concrete bird. This abstraction is then carried over to the bat, and it is expected in view of the application of the quality to have some of the other traits of the bird. This trivial instance indicates the essence of generalization, and also illustrates the riskiness of the proceeding. It transfers, extends, applies, a result of some former experience to the reception and interpretation of a new one. Deductive processes define, delimit, purify and set in order the conceptions through which this enriching and directive operation is carried on, but they cannot, however perfect, guarantee the outcome.
The pragmatic value of organization is so conspicuously enforced in contemporary life that it hardly seems necessary to dwell upon the instrumental significance of classification and systematization. When the existence of qualitative and fixed species was denied to be the supreme object of knowledge, classification was often regarded, especially by the empirical school, as merely a linguistic device. It was convenient for memory and communication to have words that sum up a number of particulars. Classes were supposed to exist only in speech.
Later, ideas were recognized as a kind of _tertium quid_ between things and words. Classes were allowed to exist in the mind as purely mental things. The critical disposition of empiricism is well exemplified here.
To assign any objectivity to classes was to encourage a belief in eternal species and occult essences and to strengthen the arms of a decadent and obnoxious science--a point of view well illustrated in Locke. General _ideas_ are useful in economizing effort, enabling us to condense particular experiences into simpler and more easily carried bunches and making it easier to identify new observations.
So far nominalism and conceptualism--the theory that kinds exist only in words or in ideas--was on the right track. It emphasized the teleological character of systems and classifications, that they exist for the sake of economy and efficiency in reaching ends. But this truth was perverted into a false notion, because the active and doing side of experience was denied or ignored. Concrete things have _ways_ of acting, as many ways of acting as they have points of interaction with other things. One thing is callous, unresponsive, inert in the presence of some other things; it is alert, eager, and on the aggressive with respect to other things; in a third case, it is receptive, docile. Now different ways of behaving, in spite of their endless diversity, may be