CHAPTER XXI.

FURTHER ADVANCE OF THE SENSATIONAL SCHOOL.

M. AUGUSTE COMTE.

I shall now take the liberty of noticing the views published by a

contemporary writer; not that it forms part of my design to offer

any criticism upon the writings of all those who have treated of

those subjects on which we are now employed; but because we can

more distinctly in this manner point out the contrasts and ultimate

tendencies of the several systems of opinion which have come under

our survey: and since from among these systems we have endeavoured to

extract and secure the portion of truth which remains in each, and

to reject the rest, we are led to point out the errors on which our

attention is thus fixed, in recent as well as older writers.

M. Auguste Comte published in 1830 the first, and in 1835 the second

volume of his _Cours de Philosophie Positive_; of which the aim is not

much different from that of the present work, since as he states (p.

viii.) such a title as the _Philosophy of the Sciences_ would describe

a part of his object, and would be inappropriate only by excluding that

portion (not yet published) which refers to speculations concerning

social relations.

1. _M. Comte on Three States of Science._--By employing the term

_Philosophie Positive_, he wishes to distinguish the philosophy

involved in the present state of our sciences from the previous forms

of human knowledge. For according to him, each branch of knowledge

passes, in the course of man's history, through three different states;

it is first _theological_, then _metaphysical_, then _positive_. By

the latter term he implies a state which includes nothing but general

representations of facts;--phenomena _arranged according_ to relations

of succession and resemblance. This "positive philosophy" rejects all

inquiry after causes, which inquiry he holds to be void of sense[247]

and inaccessible. All such conceptions belong to the "metaphysical"

state of science which deals with abstract forces, real entities,

and the like. Still more completely does he reject, as altogether

antiquated and absurd, the "theological" view of phenomena. Indeed he

conceives[248] that any one's own consciousness of what passes within

himself is sufficient to convince him of the truth of the law of the

three phases through which knowledge must pass. "Does not each of us,"

he says, "in contemplating his own history, recollect that he has been

successively a _theologian_ in his infancy, a _metaphysician_ in his

youth, and a _physicist_ in his ripe age? This may easily be verified

for all men who are up to the level of their time."

It is plain from such statements, and from the whole course of his

work, that M. Comte holds, in their most rigorous form, the doctrines

to which the speculations of Locke and his successors led; and which

tended, as we have seen, to the exclusion of all ideas except those

of number and resemblance. As M. Comte refuses to admit into his

philosophy the fundamental idea of Cause, he of course excludes most of

the other ideas, which are, as we endeavoured to show, the foundations

of science; such as the ideas of Media by which secondary qualities are

made known to us; the ideas of Chemical Attraction, of Polar Forces,

and the like. He would reduce all science to the mere expression of

laws of phenomena, expressed in formulæ of space, time, and number; and

would condemn as unmeaning, and as belonging to an obsolete state of

science, all endeavours to determine the causes of phenomena, or even

to refer them to any of the other ideas just mentioned.

2. _M. Comte rejects the Search of Causes._--In a previous work[249]

I have shown, I trust decisively, that it is the genuine office

of science to inquire into the causes as well as the laws of

phenomena;--that such an inquiry cannot be avoided; and that it has

been the source of almost all the science we possess. I need not here

repeat the arguments there urged; but I may make a remark or two upon

M. Comte's hypothesis, that all science is first "metaphysical" and

then "positive;" since it is in virtue of this hypothesis that he

rejects the investigation of causes, as worthy only of the infancy

of science. All discussions concerning ideas, M. Comte would condemn

as "metaphysical," and would consider as mere preludes to positive

philosophy. Now I venture to assert, on the contrary, that discussions

concerning ideas, and real discoveries, have in every science gone

hand in hand. There is no science in which the pretended order of

things can be pointed out. There is no science in which the discoveries

of the laws of phenomena, when once begun, have been carried on

independently of discussions concerning ideas. There is no science

in which the expression of the laws of phenomena can at this time

dispense with ideas which have acquired their place in science in

virtue of metaphysical considerations. There is no science in which

the most active disquisitions concerning ideas did not come _after_,

not _before_, the first discovery of laws of phenomena. In Astronomy,

the discovery of the phenomenal laws of the epicyclical motions of the

heavens led to assumptions of the metaphysical principle of equable

circular motions: Kepler's discoveries would never have been made

but for his metaphysical notions. These discoveries of the laws of

phenomena did not lead immediately to Newton's theory, _because_ a

century of metaphysical discussions was requisite as a preparation.

Newton then discovered, not merely a law of phenomena, but a _cause_;

and _therefore_ he was the greatest of discoverers. The same is the

case in Optics; the ancients possessed some share of our knowledge

of facts; but meddled little with the metaphysical reasonings of the

subject. In modern times when men began to inquire into the _nature_

of light, they soon extended their knowledge of its _laws_. When this

series of discoveries had come to a pause, a new series of brilliant

discoveries of laws of phenomena went on, inseparably connected with a

new series of views of the nature and cause of light. In like manner,

the most modern discoveries in chemistry involve indispensably the idea

of polar forces. The metaphysics (in M. Comte's sense) of each subject

advances in a parallel line with the knowledge of physical laws. The

Explication of Conceptions must go on, as we have already shown, at the

same rate as the Colligation of Facts.

M. Comte will say[250] that Newton's discovery of gravitation only

consists in exhibiting the astronomical phenomena of the universe

as one single fact under different points of view. But this _fact_

involves the idea of _force_, that is, of _cause_. And that this idea

is not a mere modification of the ideas of time and space, we have

shown: if it were so, how could it lead to the axiom that attraction

is mutual, an indispensable part of the Newtonian theory? M. Comte

says[251] that we do not know what attraction is, since we can only

define it by identical phrases: but this is just as true of space,

or time, or motion; and is in fact exactly the characteristic of a

fundamental idea. We do not obtain such ideas from definitions, but we

possess them not the less truly because we cannot define them.

That M. Comte's hypothesis is historically false, is obvious by such

examples as I have mentioned. Metaphysical discussions have been

essential steps in the progress of each science. If we arbitrarily

reject all these portions of scientific history as useless trifling,

belonging to the first rude attempts at knowledge, we shall not only

distort the progress of things, but pervert the plainest facts. Of

this we have an example in M. Comte's account of Kepler's mechanical

speculations. We have seen, in the History of Physical Astronomy, that

Kepler's second law, (that the planets describe areas about the sun

proportional to the times,) was proved by him, by means of calculations

founded on the observations of Tycho; but that the mechanical reason

of it was not assigned till a later period, when it appeared as the

first proposition of Newton's _Principia_. It is plain from the

writings of Kepler, that it was impossible for him to show how this

law resulted from the forces which were in action; since the forces

which he considered were not those tending to the centre, which really

determine the property in question, but forces exerted by the sun _in

the direction of the planet's motion_, without which forces Kepler

conceived that the motion could not go on. In short, the state of

mechanical science in Kepler's time was such that no demonstration of

the law could be given. The terms in which such a demonstration must

be expressed had not at that time acquired a precise significance; and

it was in virtue of many subsequent _metaphysical_ discussions (as M.

Comte would term them) that these terms became capable of expressing

sound mechanical reasoning. Kepler did indeed pretend to assign what

he called a "physical proof" of his law, depending upon this, that the

sun's force is less at greater distances; a condition which does not

at all influence the result. Thus Kepler's reason for his law proves

nothing but the confusion of thought in which he was involved on such

subjects. Yet M. Comte assigns to Kepler the credit of having proved

this law by sound mechanical reasoning, as well as established it as

a matter of fact[252]. "This discovery by Kepler," he adds, "is the

more remarkable, inasmuch as it occurred before the science of dynamics

had really been created by Galileo." We may remark that inasmuch as M.

Comte perceived this incongruity in the facts as he stated them, it is

the more remarkable that he did not examine them more carefully.

3. _Causes in Physics._--The condemnation of the inquiry into causes

which is conveyed in M. Comte's notion of the three stages of Science,

he again expresses more in detail, in stating[253] what he calls his

_Fundamental theory of hypotheses_. This "theory" is, that we may

employ hypotheses in our natural philosophy, but these hypotheses

must always be such as admit of a positive verification. We must have

no suppositions concerning the agents by which effects are produced.

All such suppositions have an anti-scientific character, and can only

impede the real progress of physics. There can be no use in the ethers

and imaginary fluids to which some persons refer the phenomena of heat,

light, electricity and magnetism. And in agreement with this doctrine,

M. Comte in his account[254] of the Science of Optics, condemns, as

utterly unphilosophical and absurd, both the theory of emission and

that of undulation.

To this we reply, that theory of one kind or other is indispensable

to the expression of the phenomena; and that when the laws are

expressed, and apparently explained, by means of a theory, to forbid

us to inquire whether it be really true or false, is a pedantic and

capricious limitation of our knowledge, to which the intellect of man

neither can nor should submit. If any one holds the adoption of one or

other of these theories to be indifferent, let him express the _laws

of phenomena_ of diffraction in terms of the theory of emission[255].

If any one rejects the doctrine of undulation, let him point out some

other way of connecting double refraction with polarization. And

surely no man of science will contend that the beautiful branch of

science which refers to that connexion is not a portion of our positive

knowledge.

M. Comte's contempt for the speculations of the undulationists seems

to have prevented his acquainting himself with their reasonings, and

even with the laws of phenomena on which they have reasoned, although

these form by far the most striking and beautiful addition which

Science has received in modern times. He adduces, as an insuperable

objection to the undulatory theory, a difficulty which is fully

removed by calculation in every work on the subject:--the existence

of shadow[256]. He barely mentions the subject of diffraction, and

Young's law of interferences;--speaks of Fresnel as having applied this

principle to the phenomena of coloured rings, "on which the ingenious

labours of Newton left much to desire;" as if Fresnel's labours on

this subject had been the supplement of those of Newton: and after

regretting that "this principle of interferences has not yet been

distinctly disentangled from chemical conceptions on the nature of

light," concludes his chapter. He does not even mention the phenomena

of dipolarization, of circular and elliptical polarization, or of the

optical properties of crystals; discoveries of laws of phenomena quite

as remarkable as any which can be mentioned.

M. Comte's favourite example of physical research is Thermotics, and

especially Fourier's researches with regard to heat. It is shown[257]

in the History of Thermotics, that the general phenomena of radiation

required the assumption of a fluid to express them; as appears in the

_theory of exchanges_[258]. And the explanation of the principal laws

of radiation, which Fourier gives, depends upon the conception of

material molecular radiation. The _flux_ of caloric, of which Fourier

speaks, cannot be conceived otherwise than as implying a material

flow. M. Comte apologizes[259] for this expression, as too figurative,

and says that it merely indicates a _fact_. But what is the flow of a

current of fluid except a fact? And is it not evident that without such

expressions, and the ideas corresponding to them, Fourier could neither

have conveyed nor conceived his theory?

In concluding this discussion it must be recollected, that though

it is a most narrow and untenable rule to say that we will admit no

agency of ethers and fluids into philosophy; yet the reality of such

agents is only to be held in the way, and to the extent, which the laws

of phenomena indicate. It is not only allowable, but inevitable to

assume, as the vehicle of heat and light, a medium possessing some of

the properties of more familiar kinds of matter. But the idea of such

a medium, which we possess, and on which we cannot but reason, can be

fully developed only by an assiduous study of the cases in which it is

applicable. It may be, that as science advances, all our knowledge may

converge to one general and single aspect of the universe. We abandon

and reject this hope, if we refuse to admit those ideas which must

be our stepping-stones in advancing to such a point: and we no less

frustrate such an expectation, if we allow ourselves to imagine that

from our present position we can stride at once to the summit.

4. _Causes in other Sciences._--But if it is, in the sciences just

mentioned, impracticable to reduce our knowledge to laws of phenomena

alone, without referring to causes, media, and other agencies; how much

more plainly is it impossible to confine our thoughts to phenomena,

and to laws of succession and resemblance, in other sciences, as

chemistry, physiology, and geology? Who shall forbid us, or why should

we be forbidden, to inquire whether chemical and galvanic forces are

identical; whether irritability is a peculiar vital power; whether

geological causes have been uniform or paroxysmal? To exclude such

inquiries, would be to secure ourselves from the poison of error by

abstaining from the banquet of truth:--it would be to attempt to feed

our minds with the meagre diet of space and number, because we may find

too delightful a relish in such matters as cause and end, symmetry and

affinity, organization and development.

Thus M. Comte's arrangement of the progress of science as successively

metaphysical and positive, is contrary to history in fact, and contrary

to sound philosophy in principle. Nor is there any better foundation

for his statement that theological views are to be found only in the

rude infantine condition of human knowledge, and vanish as science

advances. Even in material sciences this is not the case. We have

shown in the chapter on Final Causes, that physiologists have been

directed in their remarks by the conviction of a purpose in every

part of the structure of animals; and that this idea, which had its

rise _after_ the first observations, has gone on constantly gaining

strength and clearness, so that it is now the basis of a large portion

of the science. We have seen, too, in the Book on the palætiological

sciences, that the researches of that class do by no means lead us to

reject an origin of the series of events, nor to suppose this origin

to be included in the series of natural laws. Science has not at all

shown any reason for denying either the creation or the purpose of the

universe.

This is true of those aspects of the universe which have become the

subjects of rigorous science: but how small a portion of the whole do

they form! Especially how minute a proportion does our knowledge bear

to our ignorance, if we admit into science, as M. Comte advises, only

the laws of phenomena! Even in the best explored fields of science, how

few such laws do we know! Meteorology, climate, terrestrial magnetism,

the colours and other properties of bodies, the conditions of musical

and articulate sound, and a thousand other facts of physics, are not

defined by any known laws. In physiology we may readily convince

ourselves how little we know of laws, since we can hardly study one

species without discovering some unguessed property, or apply the

microscope without seeing some new structure in the best known organs.

And when we go on to social and moral and political matters, we may

well doubt whether any one single rigorous rule of phenomena has ever

been stated, although on such subjects man's ideas have been busily

and eagerly working ever since his origin. What a wanton and baseless

assumption it would be, then, to reject those suggestions of a Governor

of the universe which we derive from man's moral and spiritual nature,

and from the institutions of society, because we fancy we see in the

small field of our existing "positive knowledge" a tendency to exclude

"theological views!" Because we can explain the motion of the stars by

a general Law which seems to imply no hyperphysical agency, and can

trace a few more limited laws in other properties of matter, we are

exhorted to reject convictions irresistibly suggested to us by our

bodies and our souls, by history and antiquities, by conscience and

human law.

5. _M. Comte's practical philosophy._--It is not merely as a

speculative doctrine that M. Comte urges the necessity of our thus

following the guidance of "positive philosophy." The fevered and

revolutionary condition of human society at present arises, according

to him[260], from the simultaneous employment of three kinds of

philosophy radically incompatible;--theological, metaphysical, and

positive philosophy. The remedy for the evil is to reject the two

former, and to refer everything to that positive philosophy, of which

the destined triumph cannot be doubtful. In like manner, our European

education[261], still essentially theological, metaphysical, and

literary, must be replaced by a _positive_ education, suited to the

spirit of our epoch.

With these practical consequences of M. Comte's philosophy we are not

here concerned: but the notice of them may serve to show how entirely

the rejection of the theological view pervades his system; and how

closely this rejection is connected with the principles which lead

him also to reject the fundamental ideas of the sciences as we have

presented them.

6. _M. Comte on Hypotheses._--In the detail of M. Comte's work, I do

not find any peculiar or novel remarks on the induction by which the

sciences are formed; except we may notice, as such, his permission of

hypotheses to the inquirer, already referred to. "There can only be,"

he says[262], "two general modes fitted to reveal to us, in a direct

and entirely rational manner, the true law of any phenomenon;--either

the immediate analysis of this phenomenon, or its exact and evident

relation to some more extended law, previously established;--in a word,

_induction_, or _deduction_. But both these ways would certainly be

insufficient, even with regard to the simplest phenomenon, in the eyes

of any one who fully comprehends the essential difficulties of the

intimate study of nature, if we did not often begin by anticipating

the result, and making a provisory supposition, at first essentially

conjectural, even with respect to some of the notions which constitute

the final object of inquiry. Hence the introduction, which is strictly

indispensable, of hypotheses in natural philosophy." We have already

seen that the "permissio intellectus" had been noticed as a requisite

step in discovery, as long before as the time of Bacon.

7. _M. Comte's Classification of Sciences._--I do not think it

necessary to examine in detail M. Comte's views of the philosophy of

the different sciences; but it may illustrate the object of the present

work, to make a remark upon his attempt to establish a distinction

between physical and chemical science. This distinction he makes to

consist in three points[263];--that Physics considers general and

Chemistry special properties;--that Physics considers masses and

Chemistry molecules;--that in Physics the mode of arrangement of

the molecules remains constant, while in Chemistry this arrangement

is necessarily altered. M. Comte however allows that these lines

of distinction are vague and insecure; for, among many others,

magnetism, a special property, belongs to physics, and breaks down

his first criterion; and molecular attractions are a constant subject

of speculation in physics, so that the second distinction cannot be

insisted on. To which we may add that the greater portion of chemistry

does not attend at all to the arrangement of the molecules, so that

the third character is quite erroneous. The real distinction of

these branches of science is, as we have seen, the fundamental ideas

which they employ. Physics deals with relations of space, time, and

number, media, and scales of qualities, according to intensity and

other differences; while chemistry has for its subject elements and

attractions as shown in composition; and polarity, though in different

senses, belongs to both. The failure of this attempt of M. Comte at

distinguishing these provinces of science by their objects, may be

looked upon as an illustration of the impossibility of establishing a

philosophy of the sciences on any other ground than the ideas which

they involve.

We have thus traced to its extreme point, so far as the nature

of science is concerned, one of those two antagonistic opinions,

of which the struggle began in the outset of philosophy, and has

continued during the whole of her progress;--namely, the opinions

which respectively make our sensations and our ideas the origin of our

knowledge. The former, if it be consistent with itself, must consider

all knowledge of causes as impossible, since no sensation can give us

the idea of cause. And when this opinion is applied to science, it

reduces it to the mere investigation of laws of phenomena, according

to relations of space, time, and number. I purposely abstain, as far

as possible, from the consideration of the other consequences, not

strictly belonging to the physical sciences, which were drawn from

the doctrine that all our ideas are only transformed sensations. The

materialism, the atheism, the sensualist morality, the anarchical

polity, which some of the disciples of the Sensational School erected

upon the fundamental dogmas of their sect, do not belong to our

present subject, and are matters too weighty to be treated of as mere

accessories.

* * * * *

The above Remarks were written before I had seen the third volume of M.

Comte's work, or the subsequent volumes. But I do not find, in anything

which those volumes contain, any ground for altering what I have

written. Indeed they are occupied altogether with subjects which do not

come within the field of my present speculations.

FOOTNOTES:

[Footnote 247: i. p. 14.]

[Footnote 248: i. p. 7.]

[Footnote 249: _Hist. Ind. Sc._ b. xi. c. vii.]

[Footnote 250: P. 15.]

[Footnote 251: P. 16.]

[Footnote 252: M. Comte's statement is so entirely at variance with the

fact that I must quote it here. (_Phil. Pos._ vol. i. p. 705.)

"Le second théorème général de dynamique consiste dans le célèbre et

important _principe des aires_, dont le première idée est due à Kepler,

qui découvrit et démontra forte simplement cette propriété pour le cas

du mouvement d'une molecule unique, ou en d'autres terms, d'un corps

dont tous les points se meuvent identiquement. Kepler établit, par les

considérations les plus élémentaires, qui si la force accélératrice

totale dont une molecule est animée tend constamment vers un point

fixé, le rayon vecteur du mobile décrit autour de ce point des aires

égales en temps egaux, de telle sorte que l'aire décrite au bout d'un

temps quelconque croît proportionellement à ce temps. Il fit voir en

outre que réciproquement, si une semblable relation a été vérifiée

dans le mouvement d'un corps par rapport à un certain point, c'est une

preuve suffisante de l'action sur le corps d'un force dirigée sans

cesse vers ce point."

There is not a trace of the above propositions in the work _De Stellâ

Martis_, which contains Kepler's discovery of his law, nor, I am

convinced, in any other of Kepler's works. He is everywhere constant to

his conceptions of the _magnetic_ virtue residing in the sun, by means

of which the sun, revolving on his axis, carries the planets round with

him. M. Comte's statement so exactly expresses _Newton's_ propositions,

that one is led to suspect some extraordinary mistake, by which what

should have been said of the one was transferred to the other.]

[Footnote 253: Vol. ii. p. 433.]

[Footnote 254: Vol. ii. 640.]

[Footnote 255: I venture to offer this problem;--to express the

_laws of the phenomena_ of diffraction without the hypothesis of

undulations;--as a challenge to any one who holds such hypothesis to be

unphilosophical.]

[Footnote 256: ii. p. 641.]

[Footnote 257: ii. p. 673.]

[Footnote 258: _Hist. Ind. Sc._ ii. 489, b. x. c. i.]

[Footnote 259: ii. p. 561.]

[Footnote 260: i. 50.]

[Footnote 261: i. 41.]

[Footnote 262: ii. 433.]

[Footnote 263: _Phil. Pos._ ii. 392-398.]

On the Philosophy of Discovery, Chapters Historical and Critical · 第 3 / 17 章