According to M. Comte, chemistry entered into the positive stage with

Lavoisier, in the latter half of the last century (in a subsequent

treatise he places the date a generation earlier); and biology at the

beginning of the present, when Bichat drew the fundamental distinction

between nutritive or vegetative and properly animal life, and referred

the properties of organs to the general laws of the component tissues.

The most complex of all sciences, the Social, had not, he maintained,

become positive at all, but was the subject of an ever-renewed and

barren contest between the theological and the metaphysical modes of

thought. To make this highest of the sciences positive, and thereby

complete the positive character of all human speculations, was the

principal aim of his labours, and he believed himself to have

accomplished it in the last three volumes of his Treatise. But the term

Positive is not, any more than Metaphysical, always used by M. Comte in

the same meaning. There never can have been a period in any science when

it was not in some degree positive, since it always professed to draw

conclusions from experience and observation. M. Comte would have been

the last to deny that previous to his own speculations, the world

possessed a multitude of truths, of greater or less certainty, on social

subjects, the evidence of which was obtained by inductive or deductive

processes from observed sequences of phaenomena. Nor could it be denied

that the best writers on subjects upon which so many men of the highest

mental capacity had employed their powers, had accepted as thoroughly

the positive point of view, and rejected the theological and

metaphysical as decidedly, as M. Comte himself. Montesquieu; even

Macchiavelli; Adam Smith and the political economists universally, both

in France and in England; Bentham, and all thinkers initiated by

him,--had a full conviction that social phaenomena conform to invariable

laws, the discovery and illustration of which was their great object as

speculative thinkers. All that can be said is, that those philosophers

did not get so far as M. Comte in discovering the methods best adapted

to bring these laws to light. It was not, therefore, reserved for M.

Comte to make sociological inquiries positive. But what he really meant

by making a science positive, is what we will call, with M. Littré,

giving it its final scientific constitution; in other words, discovering

or proving, and pursuing to their consequences, those of its truths

which are fit to form the connecting links among the rest: truths which

are to it what the law of gravitation is to astronomy, what the

elementary properties of the tissues are to physiology, and we will add

(though M. Comte did not) what the laws of association are to

psychology. This is an operation which, when accomplished, puts an end

to the empirical period, and enables the science to be conceived as a

co-ordinated and coherent body of doctrine. This is what had not yet

been done for sociology; and the hope of effecting it was, from his

early years, the prompter and incentive of all M. Comte's philosophic

labours.

It was with a view to this that he undertook that wonderful

systematization of the philosophy of all the antecedent sciences, from

mathematics to physiology, which, if he had done nothing else, would

have stamped him, in all minds competent to appreciate it, as one of the

principal thinkers of the age. To make its nature intelligible to those

who are not acquainted with it, we must explain what we mean by the

philosophy of a science, as distinguished from the science itself. The

proper meaning of philosophy we take to be, what the ancients understood

by it--the scientific knowledge of Man, as an intellectual, moral, and

social being. Since his intellectual faculties include his knowing

faculty, the science of Man includes everything that man can know, so

far as regards his mode of knowing it: in other words, the whole

doctrine of the conditions of human knowledge. The philosophy of a

Science thus comes to mean the science itself, considered not as to its

results, the truths which it ascertains, but as to the processes by

which the mind attains them, the marks by which it recognises them, and

the co-ordinating and methodizing of them with a view to the greatest

clearness of conception and the fullest and readiest availibility for

use: in one word, the logic of the science. M. Comte has accomplished

this for the first five of the fundamental sciences, with a success

which can hardly be too much admired. We never reopen even the least

admirable part of this survey, the volume on chemistry and biology

(which was behind the actual state of those sciences when first written,

and is far in the rear of them now), without a renewed sense of the

great reach of its speculations, and a conviction that the way to a

complete rationalizing of those sciences, still very imperfectly

conceived by most who cultivate them, has been shown nowhere so

successfully as there.

Yet, for a correct appreciation of this great philosophical achievement,

we ought to take account of what has not been accomplished, as well as

of what has. Some of the chief deficiencies and infirmities of M.

Comte's system of thought will be found, as is usually the case, in

close connexion with its greatest successes.

The philosophy of Science consists of two principal parts; the methods

of investigation, and the requisites of proof. The one points out the

roads by which the human intellect arrives at conclusions, the other the

mode of testing their evidence. The former if complete would be an

Organon of Discovery, the latter of Proof. It is to the first of these

that M. Comte principally confines himself, and he treats it with a

degree of perfection hitherto unrivalled. Nowhere is there anything

comparable, in its kind, to his survey of the resources which the mind

has at its disposal for investigating the laws of phaenomena; the

circumstances which render each of the fundamental modes of exploration

suitable or unsuitable to each class of phaenomena; the extensions and

transformations which the process of investigation has to undergo in

adapting itself to each new province of the field of study; and the

especial gifts with which every one of the fundamental sciences enriches

the method of positive inquiry, each science in its turn being the best

fitted to bring to perfection one process or another. These, and many

cognate subjects, such as the theory of Classification, and the proper

use of scientific Hypotheses, M. Comte has treated with a completeness

of insight which leaves little to be desired. Not less admirable is his

survey of the most comprehensive truths that had been arrived at by each

science, considered as to their relation to the general sum of human

knowledge, and their logical value as aids to its further progress. But

after all this, there remains a further and distinct question. We are

taught the right way of searching for results, but when a result has

been reached, how shall we know that it is true? How assure ourselves

that the process has been performed correctly, and that our premises,

whether consisting of generalities or of particular facts, really prove

the conclusion we have grounded on them? On this question M. Comte

throws no light. He supplies no test of proof. As regards deduction, he

neither recognises the syllogistic system of Aristotle and his

successors (the insufficiency of which is as evident as its utility is

real) nor proposes any other in lieu of it: and of induction he has no

canons whatever. He does not seem to admit the possibility of any

general criterion by which to decide whether a given inductive inference

is correct or not. Yet he does not, with Dr Whewell, regard an inductive

theory as proved if it accounts for the facts: on the contrary, he sets

himself in the strongest opposition to those scientific hypotheses

which, like the luminiferous ether, are not susceptible of direct proof,

and are accepted on the sole evidence of their aptitude for explaining

phenomena. He maintains that no hypothesis is legitimate unless it is

susceptible of verification, and that none ought to be accepted as true

unless it can be shown not only that it accords with the facts, but that

its falsehood would be inconsistent with them. He therefore needs a test

of inductive proof; and in assigning none, he seems to give up as

impracticable the main problem of Logic properly so called. At the

beginning of his treatise he speaks of a doctrine of Method, apart from

particular applications, as conceivable, but not needful: method,

according to him, is learnt only by seeing it in operation, and the

logic of a science can only usefully be taught through the science

itself. Towards the end of the work, he assumes a more decidedly

negative tone, and treats the very conception of studying Logic

otherwise than in its applications as chimerical. He got on, in his

subsequent writings, to considering it as wrong. This indispensable part

of Positive Philosophy he not only left to be supplied by others, but

did all that depended on him to discourage them from attempting it.

This hiatus in M. Comte's system is not unconnected with a defect in his

original conception of the subject matter of scientific investigation,

which has been generally noticed, for it lies on the surface, and is

more apt to be exaggerated than overlooked. It is often said of him that

he rejects the study of causes. This is not, in the correct acceptation,

true, for it is only questions of ultimate origin, and of Efficient as

distinguished from what are called Physical causes, that he rejects. The

causes that he regards as inaccessible are causes which are not

themselves phaenomena. Like other people he admits the study of causes,

in every sense in which one physical fact can be the cause of another.

But he has an objection to the _word_ cause; he will only consent to

speak of Laws of Succession: and depriving himself of the use of a word

which has a Positive meaning, he misses the meaning it expresses. He

sees no difference between such generalizations as Kepler's laws, and

such as the theory of gravitation. He fails to perceive the real

distinction between the laws of succession and coexistence which

thinkers of a different school call Laws of Phaenomena, and those of

what they call the action of Causes: the former exemplified by the

succession of day and night, the latter by the earth's rotation which

causes it. The succession of day and night is as much an invariable

sequence, as the alternate exposure of opposite sides of the earth to

the sun. Yet day and night are not the causes of one another; why?

Because their sequence, though invariable in our experience, is not

unconditionally so: those facts only succeed each other, provided that

the presence and absence of the sun succeed each other, and if this

alternation were to cease, we might have either day or night unfollowed

by one another. There are thus two kinds of uniformities of succession,

the one unconditional, the other conditional on the first: laws of

causation, and other successions dependent on those laws. All ultimate

laws are laws of causation, and the only universal law beyond the pale

of mathematics is the law of universal causation, namely, that every

phaenomenon has a phaenomenal cause; has some phaenomenon other than

itself, or some combination of phaenomena, on which it is invariably and

unconditionally consequent. It is on the universality of this law that

the possibility rests of establishing a canon of Induction. A general

proposition inductively obtained is only then proved to be true, when

the instances on which it rests are such that if they have been

correctly observed, the falsity of the generalization would be

inconsistent with the constancy of causation; with the universality of

the fact that the phaenomena of nature take place according to

invariable laws of succession.[9] It is probable, therefore, that M.

Comte's determined abstinence from the word and the idea of Cause, had

much to do with his inability to conceive an Inductive Logic, by

diverting his attention from the only basis upon which it could be

founded.

We are afraid it must also be said, though shown only by slight

indications in his fundamental work, and coming out in full evidence

only in his later writings--that M. Comte, at bottom, was not so

solicitous about completeness of proof as becomes a positive

philosopher, and that the unimpeachable objectivity, as he would have

called it, of a conception--its exact correspondence to the realities of

outward fact--was not, with him, an indispensable condition of adopting

it, if it was subjectively useful, by affording facilities to the mind

for grouping phaenomena. This appears very curiously in his chapters on

the philosophy of Chemistry. He recommends, as a judicious use of "the

degree of liberty left to our intelligence by the end and purpose of

positive science," that we should accept as a convenient generalization

the doctrine that all chemical composition is between two elements only;

that every substance which our analysis decomposes, let us say into four

elements, has for its immediate constituents two hypothetical

substances, each compounded of two simpler ones. There would have been

nothing to object to in this as a scientific hypothesis, assumed

tentatively as a means of suggesting experiments by which its truth may

be tested. With this for its destination, the conception, would have

been legitimate and philosophical; the more so, as, if confirmed, it

would have afforded an explanation of the fact that some substances

which analysis shows to be composed of the same elementary substances

in the same proportions, differ in their general properties, as for

instance, sugar and gum.[10] And if, besides affording a reason for

difference between things which differ, the hypothesis had afforded a

reason for agreement between things which agree; if the intermediate

link by which the quaternary compound was resolved into two binary ones,

could have been so chosen as to bring each of them within the analogies

of some known class of binary compounds (which it is easy to suppose

possible, and which in some particular instances actually happens);[11]

the universality of binary composition would have been a successful

example of an hypothesis in anticipation of a positive theory, to give

a direction to inquiry which might end in its being either proved or

abandoned. But M. Comte evidently thought that even though it should

never be proved--however many cases of chemical composition might always

remain in which the theory was still as hypothetical as at first--so

long as it was not actually disproved (which it is scarcely in the

nature of the case that it should ever be) it would deserve to be

retained, for its mere convenience in bringing a large body of

phaenomena under a general conception. In a _résumé_ of the general

principles of the positive method at the end of the work, he claims,

in express terms, an unlimited license of adopting "without any vain

scruple" hypothetical conceptions of this sort; "in order to satisfy,

within proper limits, our just mental inclinations, which always turn,

with an instinctive predilection, towards simplicity, continuity, and

generality of conceptions, while always respecting the reality of

external laws in so far as accessible to us" (vi. 639). "The most

philosophic point of view leads us to conceive the study of natural laws

as destined to represent the external world so as to give as much

satisfaction to the essential inclinations of our intelligence, as is

consistent with the degree of exactitude commanded by the aggregate of

our practical wants" (vi. 642). Among these "essential inclinations" he

includes not only our "instinctive predilection for order and harmony,"

which makes us relish any conception, even fictitious, that helps to

reduce phaenomena to system; but even our feelings of taste, "les

convenances purement esthétiques," which, he says, have a legitimate

part in the employment of the "genre de liberté" resté facultatif pour

notre intelligence." After the due satisfaction of our "most eminent

mental inclinations," there will still remain "a considerable margin of

indeterminateness, which should be made use of to give a direct

gratification to our _besoin_ of ideality, by embellishing our

scientific thoughts, without injury to their essential reality" (vi.

647). In consistency with all this, M. Comte warns thinkers against too

severe a scrutiny of the exact truth of scientific laws, and stamps with

"severe reprobation" those who break down "by too minute an

investigation" generalizations already made, without being able to

substitute others (vi. 639): as in the case of Lavoisier's general

theory of chemistry, which would have made that science more

satisfactory than at present to "the instinctive inclinations of our

intelligence" if it had turned out true, but unhappily it did not. These

mental dispositions in M. Comte account for his not having found or

sought a logical criterion of proof; but they are scarcely consistent

with his inveterate hostility to the hypothesis of the luminiferous

ether, which certainly gratifies our "predilection for order and

harmony," not to say our "besoin d'idéalite", in no ordinary degree.

This notion of the "destination" of the study of natural laws is to our

minds a complete dereliction of the essential principles which form the

Positive conception of science; and contained the germ of the perversion

of his own philosophy which marked his later years. It might be

interesting, but scarcely worth while, to attempt to penetrate to the

just thought which misled M. Comte, for there is almost always a grain

of truth in the errors of an original and powerful mind. There is

another grave aberration in M. Comte's view of the method of positive

science, which though not more unphilosophical than the last mentioned,

is of greater practical importance. He rejects totally, as an invalid

process, psychological observation properly so called, or in other

words, internal consciousness, at least as regards our intellectual

operations. He gives no place in his series of the science of

Psychology, and always speaks of it with contempt. The study of mental

phaenomena, or, as he expresses it, of moral and intellectual functions,

has a place in his scheme, under the head of Biology, but only as a

branch of physiology. Our knowledge of the human mind must, he thinks,

be acquired by observing other people. How we are to observe other

people's mental operations, or how interpret the signs of them without

having learnt what the signs mean by knowledge of ourselves, he does not

state. But it is clear to him that we can learn very little about the

feelings, and nothing at all about the intellect, by self-observation.

Our intelligence can observe all other things, but not itself: we cannot

observe ourselves observing, or observe ourselves reasoning: and if we

could, attention to this reflex operation would annihilate its object,

by stopping the process observed.

There is little need for an elaborate refutation of a fallacy respecting

which the only wonder is that it should impose on any one. Two answers

may be given to it. In the first place, M. Comte might be referred to

experience, and to the writings of his countryman M. Cardaillac and our

own Sir William Hamilton, for proof that the mind can not only be

conscious of, but attend to, more than one, and even a considerable

number, of impressions at once.[12] It is true that attention is

weakened by being divided; and this forms a special difficulty in

psychological observation, as psychologists (Sir William Hamilton in

particular) have fully recognised; but a difficulty is not an

impossibility. Secondly, it might have occurred to M. Comte that a fact

may be studied through the medium of memory, not at the very moment of

our perceiving it, but the moment after: and this is really the mode in

which our best knowledge of our intellectual acts is generally acquired.

We reflect on what we have been doing, when the act is past, but when

its impression in the memory is still fresh. Unless in one of these

ways, we could not have acquired the knowledge, which nobody denies us

to have, of what passes in our minds. M. Comte would scarcely have

affirmed that we are not aware of our own intellectual operations. We

know of our observings and our reasonings, either at the very time, or

by memory the moment after; in either case, by direct knowledge, and not

(like things done by us in a state of somnambulism) merely by their

results. This simple fact destroys the whole of M. Comte's argument.

Whatever we are directly aware of, we can directly observe.

And what Organon for the study of "the moral and intellectual functions"

does M. Comte offer, in lieu of the direct mental observation which he

repudiates? We are almost ashamed to say, that it is Phrenology! Not,

indeed, he says, as a science formed, but as one still to be created;

for he rejects almost all the special organs imagined by phrenologists,

and accepts only their general division of the brain into the three

regions of the propensities, the sentiments, and the intellect,[13] and

the subdivision of the latter region between the organs of meditation

and those of observation. Yet this mere first outline of an

apportionment of the mental functions among different organs, he regards

as extricating the mental study of man from the metaphysical stage, and

elevating it to the positive. The condition of mental science would be

sad indeed if this were its best chance of being positive; for the later

course of physiological observation and speculation has not tended to

confirm, but to discredit, the phrenological hypothesis. And even if

that hypothesis were true, psychological observation would still be

necessary; for how is it possible to ascertain the correspondence

between two things, by observation of only one of them? To establish a

relation between mental functions and cerebral conformations, requires

not only a parallel system of observations applied to each, but (as M.

Comte himself, with some inconsistency, acknowledges) an analysis of the

mental faculties, "des diverses facultés élémentaires," (iii. 573),

conducted without any reference to the physical conditions, since the

proof of the theory would lie in the correspondence between the division

of the brain into organs and that of the mind into faculties, each shown

by separate evidence. To accomplish this analysis requires direct

psychological study carried to a high pitch of perfection; it being

necessary, among other things, to investigate the degree in which mental

character is created by circumstances, since no one supposes that

cerebral conformation does all, and circumstances nothing. The

phrenological study of Mind thus supposes as its necessary preparation

the whole of the Association psychology. Without, then, rejecting any

aid which study of the brain and nerves can afford to psychology (and it

has afforded, and will yet afford, much), we may affirm that M. Comte

has done nothing for the constitution of the positive method of mental

science. He refused to profit by the very valuable commencements made by

his predecessors, especially by Hartley, Brown, and James Mill (if

indeed any of those philosophers were known to him), and left the

psychological branch of the positive method, as well as psychology

itself, to be put in their true position as a part of Positive

Philosophy by successors who duly placed themselves at the twofold point

of view of physiology and psychology, Mr Bain and Mr Herbert Spencer.

This great mistake is not a mere hiatus in M. Comte's system, but the

parent of serious errors in his attempt to create a Social Science. He

is indeed very skilful in estimating the effect of circumstances in

moulding the general character of the human race; were he not, his

historical theory could be of little worth: but in appreciating the

influence which circumstances exercise, through psychological laws, in

producing diversities of character, collective or individual, he is

sadly at fault.

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