SOME STAGES OF LOGICAL THOUGHT

The man in the street, when asked what he thinks about a certain

matter, often replies that he does not think at all; he knows. The

suggestion is that thinking is a case of active uncertainty set over

against conviction or unquestioning assurance. When he adds that he

does not have to think, but knows, the further implication is that

thinking, when needed, leads to knowledge; that its purpose or object

is to secure stable equilibrium. It is the purpose of this paper to

show some of the main stages through which thinking, understood in

this way, actually passes in its attempt to reach its most effective

working; that is, the maximum of reasonable certainty.

I wish to show how a variety of modes of thinking, easily recognizable

in the progress of both the race and the individual, may be identified

and arranged as successive species of the relationship which doubting

bears to assurance; as various ratios, so to speak, which the vigor of

doubting bears to mere acquiescence. The presumption is that the

function of questioning is one which has continually grown in

intensity and range, that doubt is continually chased back, and, being

cornered, fights more desperately, and thus clears the ground more

thoroughly. Its successive stations or arrests constitute stages of

thinking. Or to change the metaphor, just in the degree that what has

been accepted as fact--the object of assurance--loses stable

equilibrium, the tension involved in the questioning attitude

increases, until a readjustment gives a new and less easily shaken

equilibrium.

The natural tendency of man is not to press home a doubt, but to cut

inquiry as short as possible. The practical man's impatience with

theory has become a proverb; it expresses just the feeling that, since

the thinking process is of use only in substituting certainty for

doubt, any apparent prolongation of it is useless speculation, wasting

time and diverting the mind from important issues. To follow the line

of least resistance is to cut short the stay in the sphere of doubts

and suggestions, and to make the speediest return into the world where

one can act. The result, of course, is that difficulties are evaded or

surmounted rather than really disposed of. Hence, in spite of the

opposition of the would-be practical man, the needs of practice, of

economy, and of efficiency have themselves compelled a continual

deepening of doubt and widening of the area of investigation.

It is within this evolution that we have to find our stages of

thinking. The initial stage is where the doubt is hardly endured but

not entertained; it is no welcome guest but an intruder, to be got rid

of as speedily as possible. Development of alternative and competitive

suggestions, the forming of suppositions (of ideas), goes but a little

way. The mind seizes upon the nearest or most convenient instrument of

dismissing doubt and reattaining security. At the other end is the

definitive and conscious search for problems, and the development of

elaborate and systematized methods of investigation--the industry and

technique of science. Between these limits come processes which have

started out upon the path of doubt and inquiry, and then halted by the

way.

In the first stage of the journey, beliefs are treated as something

fixed and static. To those who are using them they are simply another

kind of fact. They are used to settle doubts, but the doubts are

treated as arising quite outside the ideas themselves. Nothing is

further from recognition than that ideas themselves are open to doubt,

or need criticism and revision. Indeed, the one who uses static

meanings is not even aware that they originated and have been

elaborated for the sake of dealing with conflicts and problems. The

ideas are just "there," and they may be used like any providential

dispensation to help men out of the troubles into which they have

fallen.

Words are generally held responsible for this fixation of the idea,

for this substantiation of it into a kind of thing. A long line of

critics has made us familiar with the invincible habit "of supposing

that wherever there is a name there is some reality corresponding to

it"; of supposing that general and abstract words have their

equivalent objects somewhere _in rerum natura_, as have also singular

and proper names. We know with what simplicity of self-confidence the

English empirical school has accounted for the ontological speculation

of Plato. Words tend to fix intellectual contents, and give them a

certain air of independence and individuality. That some truth is here

expressed there can be no question. Indeed, the attitude of mind of

which we are speaking is well illustrated in the person who goes to

the dictionary in order to settle some problem in morals, politics, or

science; who would end some discussion regarding a material point by

learning what meaning is attached to terms by the dictionary as

authority. The question is taken as lying outside of the sphere of

science or intellectual inquiry, since the meaning of the word--the

idea--is unquestionable and fixed.

But this petrifying influence of words is after all only a superficial

explanation. There must be some meaning present or the word could not

fix it; there must be something which accounts for the disposition to

use names as a medium of fossilization. There is, in truth, a certain

real fact--an existent reality--behind both the word and the meaning

it stands for. This reality is social usage. The person who consults a

dictionary is getting an established fact when he turns there for the

definition of a term. He finds the sense in which the word is

currently used. Social customs are no less real than physical events.

It is not possible to dispose of this fact of common usage by

reference to mere convention, or any other arbitrary device. A form of

social usage is no more an express invention than any other social

institution. It embodies the permanent attitude, the habit taken

toward certain recurring difficulties or problems in experience.

Ideas, or meanings fixed in terms, show the scheme of values which the

community uses in appraising matters that need consideration and which

are indeterminate or unassured. They are held up as standards for all

its members to follow. Here is the solution of the paradox. The fixed

or static idea is a fact expressing an established social attitude, a

custom. It is not merely verbal, because it denotes a force which

operates, as all customs do, in controlling particular cases. But

since it marks a mode of interpretation, a scheme for assigning

values, a way of dealing with doubtful cases, it falls within the

sphere of ideas. Or, coming to the life of the individual, the fixed

meaning represents, not a state of consciousness fixed by a name, but

a recognition of a habitual way of belief: a habit of understanding.

We find an apt illustration of fixed ideas in the rules prevalent in

primitive communities, rules which minutely determine all acts in

which the community as a whole is felt to have an interest. These

rules are facts because they express customs, and carry with them

certain sanctions. Their meaning does not cease with judicial

utterance. They are made valid at once in a practical way against

anyone who departs from them. Yet as rules they are ideas, for they

express general ways of defining doubtful matters in experience and of

re-establishing certainty. An individual may fail in acknowledgment of

them and explicit reference is then necessary. For one who has lost

himself in the notion that ideas are psychical and subjective, I know

of no better way to appreciate the significance of an idea than to

consider that a social rule of judgment is nothing but a certain way

of viewing or interpreting facts; as such it is an idea.

The point that is of special interest to us here, however, is that

these ideas are taken as fixed and unquestionable, and that the cases

to which they are to apply are regarded as in themselves equally

fixed. So far as concerns the attitude of those who employ this sort

of ideas, the doubt is simply as to what idea should be in a

particular case. Even the Athenian Greeks, for instance, long kept up

the form of indicting and trying a tree or implement through which

some individual had been killed. There was a rule--a fixed idea--for

dealing with all who offended against the community by destroying one

of its citizens. The fact that an inanimate object, a thing without

intention or volition, offended was not a material circumstance. It

made no difference in the case; that is, there was no doubt as to the

nature of the fact. It was as fixed as was the rule.

With advance in the complexity of life, however, rules accumulate, and

discrimination--that is, a certain degree of inquiring and critical

attitude--enters in. Inquiry takes effect, however, in seeking among a

collection of fixed ideas just the one to be used, rather than in

directing suspicion against any rule or idea as such, or in an attempt

to discover or constitute a new one. It is hardly necessary to refer

to the development of casuistry, or to the multiplication of

distinctions within dogmas, or to the growth of ceremonial law in

cumbrous detail, to indicate what the outcome of this logical stage is

likely to be. The essential thing is that doubt and inquiry are

directed neither at the nature of the intrinsic fact itself, nor at

the value of the idea as such, but simply at the manner in which one

is attached to the other. Thinking falls outside both fact and idea,

and into the sphere of their external connection. It is still a

fiction of judicial procedure that there is already in existence some

custom or law under which every possible dispute--that is, every

doubtful or unassured case--falls, and that the judge only declares

which law is applicable in the particular case. This point of view has

tremendously affected the theory of logic in its historic development.

One of the chief, perhaps the most important, instrumentalities in

developing and maintaining fixed ideas is the need of instruction and

the way in which it is given. If ideas were called into play only

when doubtful cases actually arise, they could not help retaining a

certain amount of vitality and flexibility; but the community always

instructs its new members as to its way of disposing of these cases

before they present themselves. Ideas are proffered, in other words,

separated from present doubt and remote from application, in order to

escape future difficulties and the need of any thinking. In primitive

communities this is the main purport of instruction, and it remains

such to a very considerable degree. There is a prejudgment rather than

judgment proper. When the community uses its resources to fix certain

ideas in the mind--that is, certain ways of interpreting and regarding

experience--ideas are necessarily formulated so as to assume a rigid

and independent form. They are doubly removed from the sphere of

doubt. The attitude is uncritical and dogmatic in the extreme--so much

so that one might question whether it is to be properly designated as

a stage of thinking.

In this form ideas become the chief instruments of social

conservation. Judicial decision and penal correction are restricted

and ineffective methods of maintaining social institutions unchanged,

compared with instilling in advance uniform ideas--fixed modes of

appraising all social questions and issues. These set ideas thus

become the embodiment of the values which any group has realized and

intends to perpetuate. The fixation supports them against dissipation

through attrition of circumstance, and against destruction through

hostile attack. It would be interesting to follow out the ways in

which such values are put under the protection of the gods and of

religious rites, or themselves erected into quasi-divinities--as among

the Romans. This, however, would hardly add anything to the logic of

the discussion, although it would indicate the importance attached to

the fixation of ideas, and the thoroughgoing character of the means

used to secure immobilization.

The conserving value of the dogmatic attitude, the point of view which

takes ideas as fixed, is not to be ignored. When society has no methods

of science for protecting and perpetuating its achieved values, there

is practically no other resort than such crystallization. Moreover,

with any possible scientific progress, some equivalent of the fixed

idea must remain. The nearer we get to the needs of action the greater

absoluteness must attach to ideas. The necessities of action do not

await our convenience. Emergencies continually present themselves where

the fixity required for successful activity cannot be attained through

the medium of investigation. The alternative to vacillation, confusion,

and futility of action is importation to ideas of a positive and

secured character, not in strict logic belonging to them. It is this

sort of determination that Hegel seems to have in mind in what he terms

_Verstand_--the understanding. "Apart from _Verstand_," he says,

"there is no fixity or accuracy in the region either of theory or

practice"; and, again, "_Verstand_ sticks to fixity of characters and

their distinctions from one another; it treats every meaning as having

a subsistence of its own." In technical terminology, also, this is what

is meant by "positing" ideas--hardening meanings.

In recognizing, however, that fixation of intellectual content is a

precondition of effective action, we must not overlook the

modification that comes with the advance of thinking into more

critical forms. At the outset fixity is taken as the rightful

possession of the ideas themselves; it belongs to them and is their

"essence." As the scientific spirit develops, we see that it is we who

lend fixity to the ideas, and that this loan is for a purpose to which

the meaning of the ideas is accommodated. Fixity ceases to be a matter

of intrinsic structure of ideas, and becomes an affair of security in

using them. Hence the important thing is the _way_ in which we fix the

idea--the manner of the inquiry which results in definition. We _take_

the idea as if it were fixed, in order to secure the necessary

stability of action. The crisis past, the idea drops its borrowed

investiture, and reappears as surmise.

When we substitute for ideas as uniform rules by which to decide

doubtful cases that making over of ideas which is requisite to make

them fit, the quality of thought alters. We may fairly say that we

have come into another stage. The idea is now regarded as essentially

subject to change, as a manufactured article needing to be made ready

for use. To determine the conditions of this transition lies beyond my

purpose, since I have in mind only a descriptive setting forth of the

periods through which, as a matter of fact, thought has passed in the

development of the inquiry function, without raising the problem of

its "why" and "how." At this point we shall not do more than note

that, as the scheduled stock of fixed ideas grows larger, their

application to specific questions becomes more difficult, prolonged,

and roundabout. There has to be a definite hunting for the specific

idea which is appropriate; there has to be comparison of it with other

ideas. This comes to involve a certain amount of mutual compromise and

modification before selection is possible. The idea thus gets somewhat

shaken. It has to be made over so that it may harmonize with other

ideas possessing equal worth. Often the very accumulation of fixed

ideas commands this reconstruction. The dead weight of the material

becomes so great that it cannot sustain itself without a readjustment

of the center of gravity. Simplification and systematization are

required, and these call for reflection. Critical cases come up in

which the fiction of an idea or rule already in existence cannot be

maintained. It is impossible to conceal that old ideas have to be

radically modified before the situation can be dealt with. The

friction of circumstance melts away their congealed fixity. Judgment

becomes legislative.

Seeking illustrations at large, we find this change typified in Hebrew

history in the growing importance of the prophet over the judge, in

the transition from a justification of conduct through bringing

particular cases into conformity with existent laws, into that

effected by personal right-mindedness enabling the individual to see

the law in each case for himself. Profoundly as this changed

conception of the relation between law and particular case affected

moral life, it did not, among Semites, directly influence the logical

sphere. With the Greeks, however, we find a continuous and marked

departure from positive declaration of custom. We have assemblies

meeting to discuss and dispute, and finally, upon the basis of the

considerations thus brought to view, to decide. The man of counsel is

set side by side with the man of deed. Odysseus was much experienced,

not only because he knew the customs and ways of old, but even more

because from the richness of his experience he could make the pregnant

suggestion to meet the new crisis. It is hardly too much to say that

it was the emphasis put by the Greek mind upon discussion--at first as

preliminary to decision, and afterward to legislation--which generated

logical theory.

Discussion is thus an apt name for this attitude of thought. It is

bringing various beliefs together; shaking one against another and

tearing down their rigidity. It is conversation of thoughts; it is

dialogue--the mother of dialectic in more than the etymological sense.

No process is more recurrent in history than the transfer of

operations carried on between different persons into the arena of the

individual's own consciousness. The discussion which at first took

place by bringing ideas from different persons into contact, by

introducing them into the forum of competition, and by subjecting them

to critical comparison and selective decision, finally became a habit

of the individual with himself. He became a miniature social

assemblage, in which pros and cons were brought into play struggling

for the mastery--for final conclusion. In some such way we conceive

reflection to be born.

It is evident that discussion, the agitation of ideas, if judged from

the standpoint of the older fixed ideas, is a destructive process.

Ideas are not only shaken together and apart, they are so shaken in

themselves that their whole validity becomes doubtful. Mind, and not

merely beliefs, becomes uncertain. The attempt to harmonize different

ideas means that in themselves they are discrepant. The search for a

conclusion means that accepted ideas are only points of view, and

hence personal affairs. Needless to say it was the Sophists who

emphasized and generalized this negative aspect--this presupposition

of loss of assurance, of inconsistency, of "subjectivity." They took

it as applying not only to this, that, and the other idea, but to

ideas as ideas. Since ideas are no longer fixed contents, they are

just expressions of an individual's way of thinking. Lacking inherent

value, they merely express the interests that induce the individual to

look this way rather than that. They are made by the individual's

point of view, and hence will be unmade if he can be led to change his

point of view. Where all was fixity, now all is instability: where all

was certitude, nothing now exists save opinion based on prejudice,

interest, or arbitrary choice.

The modern point of view, while condemning sophistry, yet often agrees

with it in limiting the reflective attitude as such to self-involution

and self-conceit. From Bacon down, the appeal is to observation, to

attention to facts, to concern with the external world. The sole

genuine guaranty of truth is taken to be appeal to facts, and thinking

as such is something different. If reflection is not considered to be

merely variable matter, it is considered to be at least an endless

mulling over of things. It is the futile attempt to spin truth out of

inner consciousness. It is introspection, and theorizing, and mere

speculation.

Such wholesale depreciation ignores the value inherent even in the

most subjective reflection, for it takes the settled estate which is

proof that thought is not needed, or that it has done its work, as if

it supplied the standard for the occasions in which problems are hard

upon us, and doubt is rife. It takes the conditions which come about

after and because we have thought to measure the conditions which call

out thinking. Whenever we really need to reflect, we cannot appeal

directly to the "fact," for the adequate reason that the stimulus to

thinking arises just because "facts" have slipped away from us. The

fallacy is neatly committed by Mill in his discussion of Whewell's

account of the need of mental conception or hypothesis in

"colligating" facts. He insists that the conception is "obtained" from

the "facts" in which "it exists," is "impressed upon us from without,"

and also that it is the "darkness and confusion" of the facts that

make us want the conception in order to create "light and order."[46]

Reflection involves running over various ideas, sorting them out,

comparing one with another, trying to get one which will unite in

itself the strength of two, searching for new points of view,

developing new suggestions; guessing, suggesting, selecting, and

rejecting. The greater the problem, and the greater the shock of doubt

and resultant confusion and uncertainty, the more prolonged and more

necessary is the process of "mere thinking." It is a more obvious

phase of biology than of physics, of sociology than of chemistry; but

it persists in established sciences. If we take even a mathematical

proposition, not _after_ it has been demonstrated--and is thus capable

of statement in adequate logical form--but while in process of

discovery and proof, the operation of this subjective phase is

manifest, so much so, indeed, that a distinguished modern

mathematician has said that the paths which the mathematical inquirer

traverses in any new field are more akin to those of the

experimentalist, and even to those of the poet and artist, than to

those of the Euclidean geometer.

What makes the essential difference between modern research and the

reflection of, say, the Greeks, is not the absence of "mere thinking,"

but the presence of conditions for testing its results; the elaborate

system of checks and balances found in the technique of modern

experimentation. The thinking process does not now go on endlessly in

terms of itself, but seeks outlet through reference to particular

experiences. It is tested by this reference; not, however, as if a

theory could be tested by directly comparing it with facts--an obvious

impossibility--but through use in facilitating commerce with facts. It

is tested as glasses are tested; things are looked at through the

medium of specific meanings to see if thereby they assume a more

orderly and clearer aspect, if they are less blurred and obscure.

The reaction of the Socratic school against the Sophistic may serve to

illustrate the third stage of thinking. This movement was not

interested in the _de facto_ shaking of received ideas and a

discrediting of all thinking. It was concerned rather with the

virtual appeal to a common denominator involved in bringing different

ideas into relation with one another. In their comparison and mutual

modification it saw evidence of the operation of a standard permanent

meaning passing judgment upon their conflict, and revealing a common

principle and standard of reference. It dealt not with the shaking and

dissolution, but with a comprehensive permanent Idea finally to

emerge. Controversy and discussion among different individuals may

result in extending doubt, manifesting the incoherency of accepted

ideas, and so throwing an individual into an attitude of distrust. But

it also involves an appeal to a single thought to be accepted by both

parties, thus putting an end to the dispute. This appeal to a higher

court, this possibility of attaining a total and abiding intellectual

object, which should bring into relief the agreeing elements in

contending thoughts, and banish the incompatible factors, animated the

Socratic search for the concept, the elaboration of the Platonic

hierarchy of Ideas in which the higher substantiate the lower, and the

Aristotelian exposition of the systematized methods by which general

truths may be employed to prove propositions otherwise doubtful. At

least, this historic development will serve to illustrate what is

involved in the transition from the second to the third stage; the

transformation of discussion into reasoning, of subjective reflection

into method of proof.

Discussion, whether with ourselves or others, goes on by suggestion of

clues, as the uppermost object of interest opens a way here or there.

It is discursive and haphazard. This gives it the devious tendency

indicated in Plato's remark that it needs to be tied to the post of

reason. It needs, that is, to have the ground or basis of its various

component statements brought to consciousness in such a way as to

define the exact value of each. The Socratic contention is the need of

compelling the common denominator, the common subject, underlying the

diversity of views to exhibit itself. It alone gives a sure standard

by which the claims of all assertions may be measured. Until this need

is met, discussion is a self-deceiving play with unjudged, unexamined

matters, which, confused and shifting, impose themselves upon us.

We are familiar enough with the theory that the Socratic universal,

the Platonic idea, was generated by an ignorant transformation of

psychological abstractions into self-existent entities. To insist upon

this as the key to the Socratic logic is mere caricature. The

objectivity of the universal stood for the sense of something decisive

and controlling in all reflection, which otherwise is just

manipulation of personal prejudices. This sense is as active in modern

science as it was in the Platonic dialectic. What Socrates felt was

the opinionated, conceited quality of the terms used in the moral and

political discussion of his day, as that contrasted with the

subject-matter, which, if rightly grasped, would put an end to mere

views and argumentations.

By Aristotle's time the interest was not so much in the existence of

standards of decision in cases of doubt and dispute as in the

technique of their use. The judge was firmly seated on the bench. The

parties in controversy recognized his jurisdiction, and their

respective claims were submitted for adjudicature. The need was for

rules of procedure by which the judge might, in an obvious and

impartial way, bring the recognized universal or decisive law to bear

upon particular matters. Hence the elaboration of those rules of

evidence, those canons of demonstrative force, which are the backbone

of the Aristotelian logic. There was a code by which to decide upon

the admissibility and value of proffered testimony--the rules of the

syllogism. The figures and terms of the syllogism provided a scheme

for deciding upon the exact bearing of every statement propounded. The

plan of arrangement of major and minor premises, of major, minor, and

middle terms, furnished a manifesto of the exact procedure to be

followed in determining the probative force of each element in

reasoning. The judge knew what testimony to permit, when and how it

should be introduced, how it could be impeached or have its competence

lessened, and how the evidence was to be arranged so that a summary

would also be an exhibit of its value in establishing a conclusion.

This means that there now is a distinctive type of thinking marked off

from mere discussion and reflection. It may be called either reasoning

or proof. It is reasoning when we think of the regularity of the

method for getting at and employing the unquestioned grounds which

give validity to other statements. It is proof as regards the degree

of logical desert thereby measured out to such propositions. Proof is

the acceptance or rejection justified through the reasoning. To quote

from Mill: "To give credence to a proposition as a conclusion from

something else is to reason in the most extensive sense of the term.

We say of a fact or statement, it is proved, when we believe its truth

by reason of some other fact or statement from which it is said to

follow."[47] Reasoning is marshaling a series of terms and

propositions until we can bind some doubtful fact firmly to an

unquestioned, although remote, truth; it is the regular way in which a

certain proposition is brought to bear on a precarious one, clothing

the latter with something of the peremptory quality of the former. So

far as we reach this result, and so far as we can exhibit each step in

the nexus and be sure it has been rightly performed, we have proof.

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.

* * * * *

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.

With the consciousness of this conflict my discussion in its present,

or descriptive, phase must cease. Its close, however, suggests a

further question. In so far as we adopt the conception that thinking

is itself a doubt-inquiry process, must we not deny the claims of all

of the three doctrines to be the articulate voicing of the methods of

experimental science? Do they not all agree in setting up something

fixed outside inquiry, supplying both its material and its limit? That

the first principle and the empirical matters of fact of the

Aristotelian logic fall outside the thinking process, and condemn the

latter to a purely external and go-between agency, has been already

sufficiently descanted upon. But it is also true that the fixed

particulars, given facts, or sensations--whatever the empirical

logician starts from--are material given ready-made to the

thought-process, and externally limiting inquiry, instead of being

distinctions arising within and because of search for truth. Nor, as

regards this point, is the transcendental in any position to throw

stones at the empirical logic. Thought "in itself" is so far from a

process of inquiry that it is taken to be the eternal, fixed structure

of the universe; _our_ thinking, involving doubt and investigation, is

due wholly to our "finite," imperfect character, which condemns us to

the task of merely imitating and reinstating "thought" in itself, once

and forever complete, ready-made, fixed.

The practical procedure and practical assumptions of modern

experimental science, since they make thinking essentially and not

merely accidentally a process of discovery, seem irreconcilable with

both the empirical and transcendental interpretations. At all events

there is here sufficient discrepancy to give occasion for further

search: Does not an account of thinking, basing itself on modern

scientific procedure, demand a statement in which all the distinctions

and terms of thought--judgment, concept, inference, subject,

predicate, and copula of judgment, etc., _ad infinitum_--shall be

interpreted simply and entirely as distinctive functions or divisions

of labor within the doubt-inquiry process?

Essays in Experimental Logic · 第 40 / 86 题