Essays in Experimental Logic

Part 14

Chapter 143,610 wordsPublic domain

But questions still face us. How about that truth upon which we fall back as guaranteeing the credibility of other statements--how about our major premise? Whence does it derive its guaranty? _Quis custodes custodiet?_

We may, of course, in turn subsume it under some further major premise, but an infinite regress is impossible, and on this track we are finally left hanging in the air. For _practical_ purposes the unquestioned principle may be taken as signifying mutual concession or agreement--it denotes that as a matter of fact its truth is not called in question by the parties concerned. This does admirably for settling arguments and controversies. It is a good way of amicably arranging matters among those already friends and fellow-citizens. But scientifically the widespread acceptance of an idea seems to testify to custom rather than to truth; prejudice is strengthened in influence, but hardly in value, by the number who share it; conceit is none the less self-conceit because it turns the heads of many.

Great interest was indeed afterward taken in the range of persons who hold truths in common. The _quod semper ubique omnibus_ became of great importance. This, however, was not, in theory at least, because common agreement was supposed to constitute the major premise, but because it afforded confirmatory evidence of its self-evident and universal character.

Hence the Aristotelian logic necessarily assumes certain first or fundamental truths unquestioned and unquestionable, self-evident and self-evidencing, neither established nor modified by thought, but standing firm in their own right. This assumption was not, as modern dealers in formal logic would sometimes have it, an external psychological or metaphysical attachment to the theory of reasoning, to be omitted at will from logic as such. It was an essential factor of knowledge that there should be necessary propositions directly apprehended by reason and particular ones directly apprehended by sense. Reasoning could then join them. Without the truths we have only the play of subjective, arbitrary, futile opinion. _Judgment_ has not taken place, and assertion is without warrant. Hence the scheduling of first truths is an organic part of any reasoning which is occupied with securing demonstration, surety of assent, or valid conviction. To deny the necessary place of ultimate truths in the logical system of Aristotle and his followers is to make them players in a game of social convention. It is to overlook, to invert, the fact that they were sincerely concerned with the question of attaining the grounds and process of assurance. Hence they were obliged to assume primary intuitions, metaphysical, physical, moral, and mathematical axioms, in order to get the pegs of certainty to which to tie the bundles of otherwise contingent propositions.

It would be going too far to claim that the regard for the authority of the church, of the fathers, of the Scriptures, of ancient writers, of Aristotle himself, so characteristic of the Middle Ages, was the direct outcome of this presupposition of truths fixed and unquestionable in themselves. But the logical connection is sure. The supply of absolute premises that Aristotle was able to proffer was scant. In his own generation and situation this paucity made comparatively little difference; for to the mass of men the great bulk of values was still carried by custom, by religious belief, and social institution. It was only in the comparatively small sphere of persons who had come under the philosophic influence that need for the logical mode of confirmation was felt. In the mediaeval period, however, all important beliefs required to be concentrated by some fixed principle giving them stay and power, for they were contrary to obvious common-sense and natural tradition. The situation was exactly such as to call into active use the Aristotelian scheme of thought. Authority supplemented the meagerness of the store of universals known by direct intuition, the Aristotelian plan of reasoning afforded the precise instrumentality through which the vague and chaotic details of life could be reduced to order by subjecting them to authoritative rules.

It is not enough, however, to account for the ultimate major premises, for the unconditioned grounds upon which credibility is assigned. We have also to report where the other side comes from: matters so uncertain in themselves as to require that they have their grounds supplied from outside. The answer in the Aristotelian scheme is an obvious one. It is the very nature of sense, of ordinary experience, to supply us with matters which in themselves are only contingent. There is a certain portion of the intellectual sphere, that derived from experience, which is infected throughout by its unworthy origin. It stands forever condemned to be merely empirical--particular, more or less accidental, inherently irrational. You cannot make gold from dross, and the best that can be done for and with material of this sort is to bring it under the protection of truth which has warrant and weight in itself.

We may now characterize this stage of thinking with reference to our original remark that different stages denote various degrees in the evolution of the doubt-inquiry function. As compared with the period of fixed ideas, doubt is awake, and inquiry is active, but in itself it is rigidly limited. On one side it is bounded by fixed ultimate truths, whose very nature is that they cannot be doubted, which are not products or functions in inquiry, but bases that investigation fortunately rests upon. In the other direction all "matters of fact," all "empirical truths" belong to a particular sphere or kind of existence, and one intrinsically open to suspicion. The region is condemned in a wholesale way. In itself it exhales doubt; it cannot be reformed; it is to be shunned, or, if this is not possible, to be escaped from by climbing up a ladder of intermediate terms until we lay hold on the universal. The very way in which doubt is objectified, taken all in a piece, marks its lack of vitality. It is arrested and cooped up in a particular place. As with any doubtful character, the less of its company the better. Uncertainty is not realized as a necessary instrument in compelling experienced matters to reveal their meaning and inherent order.

This limitation upon inquiry settles the interpretation to be given thought at this stage--it is of necessity merely connective, merely mediating. It goes between the first principles--themselves, as to their validity, outside the province of thought--and the particulars of sense--also, as to their status and worth, beyond the dominion of thought. Thinking is subsumption--just placing a particular proposition under its universal. It is inclusion, finding a place for some questioned matter within a region taken as more certain. It is use of general truths to afford support to things otherwise shaky--an application that improves their standing, while leaving their content unchanged. This means that thought has only a formal value. It is of service in exhibiting and arranging grounds upon which any particular proposition may be acquitted or condemned, upon which anything already current may be assented to, or upon which belief may reasonably be withheld.

The metaphor of the law court is apt. There is assumed some matter to be either proved or disproved. As matter, as content, it is furnished. It is not to be found out. In the law court it is not a question of discovering what a man specifically is, but simply of finding reasons for regarding him as guilty or innocent. There is no all-around play of thought directed to the institution of something as fact, but a question of whether grounds can be adduced justifying acceptance of some proposition already set forth. The significance of such an attitude comes into relief when we contrast it with what is done in the laboratory. In the laboratory there is no question of proving that things are just thus and so, or that we must accept or reject a given statement; there is simply an interest in finding out what sort of things we are dealing with. Any quality or change that presents itself may be an object of investigation, or may suggest a conclusion; for it is judged, not by reference to pre-existent truths, but by its suggestiveness, by what it may lead to. The mind is open to inquiry in any direction. Or we may illustrate by the difference between the auditor and an actuary in an insurance company. One simply passes and rejects, issues vouchers, compares and balances statements already made out. The other investigates any one of the items of expense or receipt; inquires how it comes to be what it is, what facts, as regards, say, length of life, condition of money market, activity of agents, are involved, and what further researches and activities are indicated.

The illustrations of the laboratory and the expert remind us of another attitude of thought in which investigation attacks matters hitherto reserved. The growth, for example, of freedom of thought during the Renaissance was a revelation of the intrinsic momentum of the thought-process itself. It was not a mere reaction from and against mediaeval scholasticism. It was the continued operation of the machinery which the scholastics had set a-going. Doubt and inquiry were extended into the region of particulars, of matters of fact, with the view of reconstituting them through discovery of their own structure, no longer with the intention of leaving that unchanged while transforming their claim to credence by connecting them with some authoritative principles. Thought no longer found satisfaction in appraising them in a scale of values according to their nearness to, or remoteness from, fixed truths. Such work had been done to a nicety, and it was futile to repeat it. Thinking must find a new outlet. It was out of employment, and set to discover new lands. Galileo and Copernicus were travelers--as much so as the crusader, Marco Polo, and Columbus.

Hence the fourth stage--covering what is popularly known as inductive and empirical science. Thought takes the form of inference instead of proof. Proof, as we have already seen, is accepting or rejecting a given proposition on the ground of its connection or lack of connection with some other proposition conceded or established. But inference does not terminate in any given proposition; it is after precisely those not given. It wants more facts, different facts. Thinking in the mode of inference insists upon terminating in an intellectual advance, in a consciousness of truths hitherto escaping us. Our thinking must not now "pass" certain propositions after challenging them, must not admit them because they exhibit certain credentials, showing a right to be received into the upper circle of intellectual society. Thinking endeavors to compel things as they present themselves, to yield up something hitherto obscure or concealed. This advance and extension of knowledge through thinking seems to be well designated by the term "inference." It does not certify what is otherwise doubtful, but "goes from the known to the unknown." It aims at pushing out the frontiers of knowledge, not at marking those already attained with signposts. Its technique is not a scheme for assigning status to beliefs already possessed, but is a method for making friends with facts and ideas hitherto alien. Inference reaches out, fills in gaps. Its work is measured not by the patents of standing it issues, but by the material increments of knowledge it yields. _Inventio_ is more important than _judicium_, discovery than "proof."

With the development of empirical research, uncertainty or contingency is no longer regarded as infecting in a wholesale way an entire region, discrediting it save as it can be brought under the protecting aegis of universal truths as major premises. Uncertainty is now a matter of detail. It is the question whether the particular fact is really what it has been taken to be. It involves contrast, not of a fact as a fixed particular over against some fixed universal, but of the existing mode of apprehension with another possible better apprehension.

From the standpoint of reasoning and proof the intellectual field is absolutely measured out in advance. Certainty is located in one part, intellectual indeterminateness or uncertainty in another. But when thinking becomes research, when the doubt-inquiry function comes to its own, the problem is just: What is the fact?

Hence the extreme interest in details as such; in observing, collecting, and comparing particular causes, in analysis of structure down to its constituent elements, interest in atoms, cells, and in all matters of arrangement in space and time. The microscope, telescope, and spectroscope, the scalpel and microtome, the kymograph and the camera are not mere material appendages to thinking; they are as integral parts of investigative thought as were _Barbara_, _Celarent_, etc., of the logic of reasoning. Facts must be discovered, and to accomplish this, apparent "facts" must be resolved into their elements. Things must be readjusted in order to be held free from intrusion of impertinent circumstance and misleading suggestion. Instrumentalities of extending and rectifying research are, therefore, of themselves organs of thinking. The specialization of the sciences, the almost daily birth of a new science, is a logical necessity--not a mere historical episode. Every phase of experience must be investigated, and each characteristic aspect presents its own peculiar problems which demand, therefore, their own technique of investigation. The discovery of difficulties, the substitution of doubt for quiescent acceptance, are more important than the sanctioning of belief through proof. Hence the importance of noting apparent exceptions, negative instances, extreme cases, anomalies. The interest is in the discrepant because that stimulates inquiry, not in the fixed universal which would terminate it once for all. Hence the roaming over the earth and through the skies for new facts which may be incompatible with old theories, and which may suggest new points of view.

To illustrate these matters in detail would be to write the history of every modern science. The interest in multiplying phenomena, in increasing the area of facts, in developing new distinctions of quantity, structure, and form, is obviously characteristic of modern science. But we do not always heed its logical significance--that it makes thinking to consist in the extension and control of contact with new material so as to lead regularly to the development of new experience.

The elevation of the region of facts--the formerly condemned region of the inherently contingent and variable--to something that invites and rewards inquiry, defines the import, therefore, of the larger aspects of modern science. This spirit prides itself upon being positivistic--it deals with the observed and the observable. It will have naught to do with ideas that cannot verify themselves by showing themselves _in propria persona_. It is not enough to present credentials from more sovereign truths. These are hardly acceptable even as letters of introduction. Refutation of Newton's claim, that he did not make hypotheses, by pointing out that no one was busier in this direction than he, and that scientific power is generally in direct ratio to ability to imagine possibilities, is as easy as it is irrelevant. The hypotheses, the thoughts, that Newton employed were of and about fact; they were for the sake of exacting and extending what can be apprehended. Instead of being sacrosanct truths affording a redemption by grace to facts otherwise ambiguous, they were the articulating of ordinary facts. Hence the notion of law changes. It is no longer something governing things and events from on high; it is the statement of their own order.

Thus the exiling of occult forces and qualities is not so much a specific achievement as it is a demand of the changed attitude. When thinking consists in the detection and determination of observable detail, forces, forms, qualities at large, are thrown out of employment. They are not so much proved non-existent as rendered nugatory. Disuse breeds their degeneration. When the universal is but the order of the facts themselves, the mediating machinery disappears along with the essences. There is substituted for the hierarchical world in which each degree in the scale has its righteousness imputed from above a world homogeneous in structure and in the scheme of its parts; the same in heaven, earth, and the uttermost parts of the sea. The ladder of values from the sublunary world with its irregular, extravagant, imperfect motion up to the stellar universe, with its self-returning perfect order, corresponded to the middle terms of the older logic. The steps were graduated, ascending from the indeterminate, unassured matter of sense up to the eternal, unquestionable truths of rational perception. But when interest is occupied in finding out what anything and everything is, any fact is just as good as its fellow. The observable world is a democracy. The difference which makes a fact what it is is not an exclusive distinction, but a matter of position and quantity, an affair of locality and aggregation, traits which place all facts upon the same level, since all other observable facts also possess them and are, indeed, conjointly responsible for them. Laws are not edicts of a sovereign binding a world of subjects otherwise lawless; they are the agreements, the compacts of facts themselves, or, in the familiar language of Mill, the common attributes, the resemblances.

The emphasis of modern science upon control flows from the same source. Interest is in the new, in extension, in discovery. Inference is the advance into the unknown, the use of the established to win new worlds from the void. This requires and employs regulation--that is, method--in procedure. There cannot be a blind attack. A plan of campaign is needed. Hence the so-called practical applications of science, the Baconian "knowledge is power," the Comteian "science is prevision," are not extra-logical addenda or supererogatory benefits. They are intrinsic to the logical method itself, which is just the orderly way of approaching new experiences so as to grasp and hold them.

The attitude of research is necessarily toward the future. The application of science to the practical affairs of life, as in the stationary engine, or telephone, does not differ in principle from the determination of wave-lengths of light through the experimental control of the laboratory. Science lives only in arranging for new contacts, new insights. The school of Kant agrees with that of Mill in asserting that judgment must, in order to be judgment, be synthetic or instructive; it must extend, inform, and purvey. When we recognize that this service of judgment in effecting growth of experience is not accidental, but that judgment means exactly the devising and using of suitable instrumentalities for this end, we remark that the so-called practical uses of science are only the further and freer play of the intrinsic movement of discovery itself.

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We began with the assumption that thought is to be interpreted as a doubt-inquiry function, conducted for the purpose of arriving at that mental equilibrium known as assurance or knowledge. We assumed that various stages of thinking could be marked out according to the amount of play which they give to doubt, and the consequent sincerity with which thinking is identified with free inquiry. Modern scientific procedure, as just set forth, seems to define the ideal or limit of this process. It is inquiry emancipated, universalized, whose sole aim and criterion is discovery, and hence it marks the terminus of our description. It is idle to conceal from ourselves, however, that scientific procedure as a practical undertaking, has not as yet reflected itself into any coherent and generally accepted theory of thinking, into any accepted doctrine of logic which is comparable to the Aristotelian. Kant's conviction that logic is a "complete and settled" science, which with absolutely "certain boundaries has gained nothing and lost nothing since Aristotle," is startlingly contradicted by the existing state of discussion of logical doctrine. The simple fact of the case is that there are at least three rival theories on the ground, each claiming to furnish the sole proper interpretation of the actual procedure of thought.

The Aristotelian logic is far from having withdrawn its claim. It still offers its framework as that into which the merely "empirical" results of observation and experimental inquiry must be fitted if they are to be regarded as really "proved." Another school of logicians, starting professedly from modern psychology, discredits the whole traditional industry and reverses the Aristotelian theory of validity; it holds that only particular facts are self-supporting, and that the authority allowed to general principles is derivative and second hand. A third school of philosophy claims, by analysis of science and experience, to justify the conclusion that the universe itself is a construction of thought, giving evidence throughout of the pervasive and constitutive action of reason, and holds, consequently, that our logical processes are simply the reading off or coming to consciousness of the inherently rational structure already possessed by the universe in virtue of the presence within it of this pervasive and constitutive action of thought. It thus denies both the claim of the traditional logic, that matters of experienced fact are mere particulars having their rationality in an external ground, and the claim of the empirical logic, that thought is just a gymnastic by which we vault from one presented fact to another remote in space and time.

Which of the three doctrines is to be regarded as the legitimate exponent of the procedure of thought manifested in modern science? While the Aristotelian logic is willing to waive a claim to be regarded as expounder of the actual procedure, it still insists upon its right to be regarded as the sole ultimate umpire of the validity or _proved_ character of the results reached. But the empirical and transcendental logics stand face to face as rivals, each asserting that it alone tells the story of what science does and how it does it.