CHAPTER XIII.

THE INSTABILITY OF THE HOMOGENEOUS.[16]

§ 109. Thus far our steps towards the interpretation of Evolution have

been preparatory. We have dealt with the factors of the process, rather

than the process itself. After the ultimate truth that, Matter, Motion,

and Force, as cognizable by human intelligence, can neither come into

existence nor cease to exist, we have considered certain other ultimate

truths concerning the modes in which Force and Motion are manifested

during the changes they produce in Matter. Now we have to study the

changes themselves. We have here to analyze that re-arrangement in the

parts of Matter, which occurs under the influence of Force, that is

unchangeable in quantity though changeable in form, through the medium

of Motion taking place rhythmically along lines of least resistance. The

proposition which comes first in logical order, is, that some

re-arrangement must result; and this proposition may be best dealt with

under the more specific shape, that the condition of homogeneity is a

condition of unstable equilibrium.

First, as to the meaning of the terms; respecting which some readers may

need explanation. The phrase _unstable equilibrium_ is one used in

mechanics to express a balance of forces of such kind, that the

interference of any further force, however minute, will destroy the

arrangement previously subsisting; and bring about a totally different

arrangement. Thus, a stick poised on its lower end is in unstable

equilibrium: however exactly it may be placed in a perpendicular

position, as soon as it is left to itself it begins, at first

imperceptibly, to lean on one side, and with increasing rapidity falls

into another attitude. Conversely, a stick suspended from its upper end

is in stable equilibrium: however much disturbed, it will return to the

same position. The proposition is, then, that the state of homogeneity,

like the state of the stick poised on its lower end, is one that cannot

be maintained. Let us take a few illustrations.

Of mechanical ones the most familiar is that of the scales. If they be

accurately made, and not clogged by dirt or rust, it is impossible to

keep a pair of scales perfectly balanced: eventually one scale will

descend and the other ascend—they will assume a heterogeneous relation.

Again, if we sprinkle over the surface of a fluid a number of

equal-sized particles, having an attraction for each other, they will,

no matter how uniformly distributed, by and by concentrate irregularly

into one or more groups. Were it possible to bring a mass of water into

a state of perfect homogeneity—a state of complete quiescence, and

exactly equal density throughout—yet the radiation of heat from

neighbouring bodies, by affecting differently its different parts, would

inevitably produce inequalities of density and consequent currents; and

would so render it to that extent heterogeneous. Take a piece of red-hot

matter, and however evenly heated it may at first be, it will quickly

cease to be so: the exterior, cooling faster than the interior, will

become different in temperature from it. And the lapse into

heterogeneity of temperature, so obvious in this extreme case, takes

place more or less in all cases. The action of chemical forces

supplies other illustrations. Expose a fragment of metal to air or

water, and in course of time it will be coated with a film of oxide,

carbonate, or other compound: that is—its outer parts will become unlike

its inner parts. Usually the heterogeneity produced by the action of

chemical forces on the surfaces of masses, is not striking; because the

changed portions are soon washed away, or otherwise removed. But if this

is prevented, comparatively complex structures result. Quarries of

trap-rock contain some striking examples. Not unfrequently a piece of

trap may be found reduced, by the action of the weather, to a number of

loosely-adherent coats, like those of an onion. Where the block has been

quite undisturbed, we may trace the whole series of these, from the

angular, irregular outer one, through successively included ones in

which the shape becomes gradually rounded, ending finally in a spherical

nucleus. On comparing the original mass of stone with this group of

concentric coats, each of which differs from the rest in form, and

probably in the state of decomposition at which it has arrived, we get a

marked illustration of the multiformity to which, in lapse of time, a

uniform body may be brought by external chemical action. The

instability of the homogeneous is equally seen in the changes set up

throughout the interior of a mass, when it consists of units that are

not rigidly bound together. The atoms of a precipitate never remain

separate, and equably distributed through the fluid in which they make

their appearance. They aggregate either into crystalline grains, each

containing an immense number of atoms, or they aggregate into flocculi,

each containing a yet larger number; and where the mass of fluid is

great, and the process prolonged, these flocculi do not continue

equidistant, but break up into groups. That is to say, there is a

destruction of the balance at first subsisting among the diffused

particles, and also of the balance at first subsisting among the groups

into which these particles unite. Certain solutions of

non-crystalline substances in highly volatile liquids, exhibit in the

course of half an hour a whole series of changes that are set up in the

alleged way. If for example a little shell-lac-varnish (made by

dissolving shell-lac in coal-naphtha until it is of the consistence of

cream) be poured on a piece of paper, the surface of the varnish will

shortly become marked by polygonal divisions, which, first appearing

round the edge of the mass, spread towards its centre. Under a lense

these irregular polygons of five or more sides, are seen to be severally

bounded by dark lines, on each side of which there are light-coloured

borders. By the addition of matter to their inner edges, the borders

slowly broaden, and thus encroach on the areas of the polygons; until at

length there remains nothing but a dark spot in the centre of each. At

the same time the boundaries of the polygons become curved; and they end

by appearing like spherical sacs pressed together; strangely simulating

(but only simulating) a group of nucleated cells. Here a rapid loss of

homogeneity is exhibited in three ways:—First, in the formation of the

film, which is the seat of these changes; second, in the formation of

the polygonal sections into which this film divides; and third, in the

contrast that arises between the polygonal sections round the edge,

where they are small and early formed, and those in the centre which are

larger and formed later.

The instability thus variously illustrated is obviously consequent on

the fact, that the several parts of any homogeneous aggregation are

necessarily exposed to different forces—forces that differ either in

kind or amount; and being exposed to different forces they are of

necessity differently modified. The relations of outside and inside, and

of comparative nearness to neighbouring sources of influence, imply the

reception of influences that are unlike in quantity or quality, or both;

and it follows that unlike changes will be produced in the parts thus

dissimilarly acted upon.

For like reasons it is manifest that the process must repeat itself in

each of the subordinate groups of units that are differentiated by the

modifying forces. Each of these subordinate groups, like the original

group, must gradually, in obedience to the influences acting upon it,

lose its balance of parts—must pass from a uniform into a multiform

state. And so on continuously. Whence indeed it is clear that not

only must the homogeneous lapse into the non-homogeneous, but that the

more homogeneous must tend ever to become less homogeneous. If any given

whole, instead of being absolutely uniform throughout, consist of parts

distinguishable from each other—if each of these parts, while somewhat

unlike other parts, is uniform within itself; then, each of them being

in unstable equilibrium, it follows that while the changes set up within

it must render it multiform, they must at the same time render the whole

more multiform than before. The general principle, now to be followed

out in its applications, is thus somewhat more comprehensive than the

title of the chapter implies. No demurrer to the conclusions drawn, can

be based on the ground that perfect homogeneity nowhere exists; since,

whether that state with which we commence be or be not one of perfect

homogeneity, the process must equally be towards a relative

heterogeneity.

* * * * *

§ 110. The stars are distributed with a three-fold irregularity. There

is first the marked contrast between the plane of the milky way and

other parts of the heavens, in respect of the quantities of stars within

given visual areas. There are secondary contrasts of like kind in the

milky way itself, which has its thick and thin places; as well as

throughout the celestial spaces in general, which are much more closely

strewn in some regions than in others. And there is a third order of

contrasts produced by the aggregation of stars into small clusters.

Besides this heterogeneity of distribution of the stars in general,

considered without distinction of kinds, a further such heterogeneity is

disclosed when they are classified by their differences of colour, which

doubtless answer to differences of physical constitution. While the

yellow stars are found in all parts of the heavens, the red and blue

stars are not so: there are wide regions in which both red and blue

stars are rare; there are regions in which the blue occur in

considerable numbers, and there are other regions in which the red are

comparatively abundant. Yet one more irregularity of like significance

is presented by the nebulæ,—aggregations of matter which, whatever be

their nature, most certainly belong to our sidereal system. For the

nebulæ are not dispersed with anything like uniformity; but are abundant

around the poles of the galactic circle and rare in the neighbourhood of

its plane. No one will expect that anything like a definite

interpretation of this structure can be given on the hypothesis of

Evolution, or any other hypothesis. The most that can be looked for is

some reason for thinking that irregularities, not improbably of these

kinds, would occur in the course of Evolution, supposing it to have

taken place. Any one called on to assign such reason might argue, that

if the matter of which stars and all other celestial bodies consist, be

assumed to have originally existed in a diffused form throughout a space

far more vast even than that which our sidereal system now occupies, the

instability of the homogeneous would negative its continuance in that

state. In default of an absolute balance among the forces with which the

dispersed particles acted on each other (which could not exist in any

aggregation having limits) he might show that motion and consequent

changes of distribution would necessarily result. The next step in the

argument would be that in matter of such extreme tenuity and feeble

cohesion there would be motion towards local centres of gravity, as well

as towards the general centre of gravity; just as, to use a humble

illustration, the particles of a precipitate aggregate into flocculi at

the same time that they sink towards the earth. He might urge that in

the one case as in the other, these smallest and earliest local

aggregations must gradually divide into groups, each concentrating to

its own centre of gravity,—a process which must repeat itself on a

larger and larger scale. In conformity with the law that motion once set

up in any direction becomes itself a cause of subsequent motion in that

direction, he might further infer that the heterogeneities thus set up

would tend ever to become more pronounced. Established mechanical

principles would justify him in the conclusion that the motions of these

irregular masses of slightly aggregated nebular matter towards their

common centre of gravity must be severally rendered curvelinear, by the

resistance of the medium from which they were precipitated; and that in

consequence of the irregularities of distribution already set up, such

conflicting curvelinear motions must, by composition of forces, end in a

rotation of the incipient sidereal system. He might without difficulty

show that the resulting centrifugal force must so far modify the process

of general aggregation, as to prevent anything like uniform distribution

of the stars eventually formed—that there must arise a contrast such as

we see between the galactic circle and the rest of the heavens. He might

draw the further not unwarrantable inference, that differences in the

process of local concentration would probably result from the unlikeness

between the physical conditions existing around the general axis of

rotation and those existing elsewhere. To which he might add, that after

the formation of distinct stars, the ever-increasing irregularities of

distribution due to continuance of the same causes would produce that

patchiness which distinguishes the heavens in both its larger and

smaller areas. We need not here however commit ourselves to such

far-reaching speculations. For the purposes of the general argument it

is needful only to show, that any finite mass of diffused matter, even

though vast enough to form our whole sidereal system, could not be in

stable equilibrium; that in default of absolute sphericity, absolute

uniformity of composition, and absolute symmetry of relation to all

forces external to it; its concentration must go on with an

ever-increasing irregularity; and that thus the present aspect of the

heavens is not, so far as we can judge, incongruous with the hypothesis

of a general evolution consequent on the instability of the homogeneous.

Descending to that more limited form of the nebular hypothesis which

regards the solar system as having resulted by gradual concentration;

and assuming this concentration to have advanced so far as to produce a

rotating spheroid of nebulous matter; let us consider what further

consequence the instability of the homogeneous necessitates. Having

become oblate in figure, unlike in the densities of its centre and

surface, unlike in their temperatures, and unlike in the velocities with

which its parts move round their common axis, such a mass can no longer

be called homogeneous; and therefore any further changes exhibited by it

as a whole, can illustrate the general law, only as being changes from a

more homogeneous to a less homogeneous state. Changes of this kind are

to be found in the transformations of such of its parts as are still

homogeneous within themselves. If we accept the conclusion of Laplace,

that the equatorial portion of this rotating and contracting spheroid

will at successive stages acquire a centrifugal force great enough to

prevent any nearer approach to the centre round which it rotates, and

will so be left behind by the inner parts of the spheroid in its

still-continued contraction; we shall find, in the fate of the detached

ring, a fresh exemplification of the principle we are following out.

Consisting of gaseous matter, such a ring, even if absolutely uniform at

the time of its detachment, cannot continue so. To maintain its

equilibrium there must be an almost perfect uniformity in the action of

all external forces upon it (almost, we must say, because the cohesion,

even of extremely attenuated matter, might suffice to neutralize very

minute disturbances); and against this the probabilities are immense. In

the absence of equality among the forces, internal and external, acting

on such a ring, there must be a point or points at which the cohesion of

its parts is less than elsewhere—a point or points at which rupture will

therefore take place. Laplace assumed that the ring would rupture at one

place only; and would then collapse on itself. But this is a more than

questionable assumption—such at least I know to be the opinion of an

authority second to none among those now living. So vast a ring,

consisting of matter having such feeble cohesion, must break up into

many parts. Nevertheless, it is still inferrable from the instability of

the homogeneous, that the ultimate result which Laplace predicted would

take place. For even supposing the masses of nebulous matter into which

such a ring separated, were so equal in their sizes and distances as to

attract each other with exactly equal forces (which is infinitely

improbable); yet the unequal action of external disturbing forces would

inevitably destroy their equilibrium—there would be one or more points

at which adjacent masses would begin to part company. Separation once

commenced, would with ever-accelerating speed lead to a grouping of the

masses. And obviously a like result would eventually take place with the

groups thus formed; until they at length aggregated into a single mass.

Leaving the region of speculative astronomy, let us consider the Solar

System as it at present exists. And here it will be well, in the first

place, to note a fact which may be thought at variance with the

foregoing argument—namely, the still-continued existence of Saturn’s

rings; and especially of the internal nebulous ring lately discovered.

To the objection that the outer rings maintain their equilibrium, the

reply is that the comparatively great cohesion of liquid or solid

substance would suffice to prevent any slight tendency to rupture from

taking effect. And that a nebulous ring here still preserves its

continuity, does not really negative the foregoing conclusion; since it

happens under the quite exceptional influence of those symmetrically

disposed forces which the external rings exercise on it. Here

indeed it deserves to be noted, that though at first sight the Saturnian

system appears at variance with the doctrine that a state of homogeneity

is one of unstable equilibrium, it does in reality furnish a curious

confirmation of this doctrine. For Saturn is not quite concentric with

his rings; and it has been proved mathematically that were he and his

rings concentrically situated, they could not remain so: the homogeneous

relation being unstable, would gravitate into a heterogeneous one. And

this fact serves to remind us of the allied one presented throughout the

whole Solar System. All orbits, whether of planets or satellites, are

more or less excentric—none of them are perfect circles; and were they

perfect circles they would soon become ellipses. Mutual perturbations

would inevitably generate excentricities. That is to say, the

homogeneous relations would lapse into heterogeneous ones.

* * * * *

§ 111. Already so many references have been made to the gradual

formation of a crust over the originally incandescent Earth, that it may

be thought superfluous again to name it. It has not, however, been

before considered in connexion with the general principle under

discussion. Here then it must be noted as a necessary consequence of the

instability of the homogeneous. In this cooling down and solidification

of the Earth’s surface, we have one of the simplest, as well as one of

the most important, instances, of that change from a uniform to a

multiform state which occurs in any mass through exposure of its

different parts to different conditions. To the differentiation of

the Earth’s exterior from its interior thus brought about, we must add

one of the most conspicuous differentiations which the exterior itself

afterwards undergoes, as being similarly brought about. Were the

conditions to which the surface of the Earth is exposed, alike in all

directions, there would be no obvious reason why certain of its parts

should become permanently unlike the rest. But being unequally exposed

to the chief external centre of force—the Sun—its main divisions become

unequally modified: as the crust thickens and cools, there arises that

contrast, now so decided, between the polar and equatorial regions.

Along with these most marked physical differentiations of the Earth,

which are manifestly consequent on the instability of the homogeneous,

there have been going on numerous chemical differentiations, admitting

of similar interpretation. Without raising the question whether, as some

think, the so-called simple substances are themselves compounded of

unknown elements (elements which we cannot separate by artificial heat,

but which existed separately when the heat of the Earth was greater than

any which we can produce),—without raising this question, it will

suffice the present purpose to show how, in place of that comparative

homogeneity of the Earth’s crust, chemically considered, which must have

existed when its temperature was high, there has arisen, during its

cooling, an increasing chemical heterogeneity: each element or compound,

being unable to maintain its homogeneity in presence of various

surrounding affinities, having fallen into heterogeneous combinations.

Let us contemplate this change somewhat in detail. There is every

reason to believe that at an extreme heat, the bodies we call elements

cannot combine. Even under such heat as can be generated artificially,

some very strong affinities yield; and the great majority of chemical

compounds are decomposed at much lower temperatures. Whence it seems not

improbable that, when the Earth was in its first state of incandescence,

there were no chemical combinations at all. But without drawing this

inference, let us set out with the unquestionable fact that the

compounds which can exist at the highest temperatures, and which must

therefore have been the first formed as the Earth cooled, are those of

the simplest constitutions. The protoxides—including under that head the

alkalies, earths, &c.—are, as a class, the most fixed compounds known:

the majority of them resisting decomposition by any heat we can

generate. These, consisting severally of one atom of each component

element, are combinations of the simplest order—are but one degree less

homogeneous than the elements themselves. More heterogeneous than these,

more decomposable by heat, and therefore later in the Earth’s history,

are the deutoxides, tritoxides, peroxides, &c.; in which two, three,

four, or more atoms of oxygen are united with one atom of metal or other

base. Still less able to resist heat, are the salts; which present us

with compound atoms each made up of five, six, seven, eight, ten,

twelve, or more atoms, of three, if not more, kinds. Then there are the

hydrated salts, of a yet greater heterogeneity, which undergo partial

decomposition at much lower temperatures. After them come the

further-complicated supersalts and double salts, having a stability

again decreased; and so throughout. After making a few unimportant

qualifications demanded by peculiar affinities, I believe no chemist

will deny it to be a general law of these inorganic combinations that,

other things equal, the stability decreases as the complexity increases.

And then when we pass to the compounds that make up organic bodies, we

find this general law still further exemplified: we find much greater

complexity and much less stability. An atom of albumen, for instance,

consists of 482 ultimate atoms of five different kinds. Fibrine, still

more intricate in constitution, contains in each atom, 298 atoms of

carbon, 49 of nitrogen, 2 of sulphur, 228 of hydrogen, and 92 of

oxygen—in all, 660 atoms; or, more strictly speaking—equivalents. And

these two substances are so unstable as to decompose at quite moderate

temperatures; as that to which the outside of a joint of roast meat is

exposed. Possibly it will be objected that some inorganic compounds, as

phosphuretted hydrogen and chloride of nitrogen, are more decomposable

than most organic compounds. This is true. But the admission may be made

without damage to the argument. The proposition is not that _all_ simple

combinations are more fixed than _all_ complex ones. To establish our

inference it is necessary only to show that, as an _average fact_, the

simple combinations can exist at a higher temperature than the complex

ones. And this is wholly beyond question. Thus it is manifest that

the present chemical heterogeneity of the Earth’s surface has arisen by

degrees as the decrease of heat has permitted; and that it has shown

itself in three forms—first, in the multiplication of chemical

compounds; second, in the greater number of different elements contained

in the more modern of these compounds; and third, in the higher and more

varied multiples in which these more numerous elements combine.

Without specifying them, it will suffice just to name the meteorologic

processes eventually set up in the Earth’s atmosphere, as further

illustrating the alleged law. They equally display that destruction of a

homogeneous state which results from unequal exposure to incident

forces.

* * * * *

§ 112. Take a mass of unorganized but organizable matter—either the body

of one of the lowest living forms, or the germ of one of the higher.

Consider its circumstances. Either it is immersed in water or air, or it

is contained within a parent organism. Wherever placed, however, its

outer and inner parts stand differently related to surrounding

agencies—nutriment, oxygen, and the various stimuli. But this is not

all. Whether it lies quiescent at the bottom of the water or on the leaf

of a plant; whether it moves through the water preserving some definite

attitude; or whether it is in the inside of an adult; it equally results

that certain parts of its surface are more exposed to surrounding

agencies than other parts—in some cases more exposed to light, heat, or

oxygen, and in others to the maternal tissues and their contents. Hence

must follow the destruction of its original equilibrium. This may take

place in one of two ways. Either the disturbing forces may be such as to

overbalance the affinities of the organic elements, in which case there

result those changes which are known as decomposition; or, as is

ordinarily the case, such changes are induced as do not destroy the

organic compounds, but only modify them: the parts most exposed to the

modifying forces being most modified. To elucidate this, suppose we take

a few cases.

Note first what appear to be exceptions. Certain minute animal forms

present us either with no appreciable differentiations or with

differentiations so obscure as to be made out with great difficulty. In

the Rhizopods, the substance of the jelly-like body remains throughout

life unorganized, even to the extent of having no limiting membrane; as

is proved by the fact that the thread-like processes protruded by the

mass, coalesce on touching each other. Whether or not the nearly allied

_Amœba_, of which the less numerous and more bulky processes do not

coalesce, has, as lately alleged, something like a cell-wall and a

nucleus, it is clear that the distinction of parts is very slight; since

particles of food pass bodily into the inside through any part of the

periphery, and since when the creature is crushed to pieces, each piece

behaves as the whole did. Now these cases, in which there is either no

contrast of structure between exterior and interior or very little,

though seemingly opposed to the above inference, are really very

significant evidences of its truth. For what is the peculiarity of this

division of the _Protozoa_? Its members undergo perpetual and irregular

changes of form—they show no persistent relation of parts. What lately

formed a portion of the interior is now protruded, and, as a temporary

limb, is attached to some object it happens to touch. What is now a part

of the surface will presently be drawn, along with the atom of nutriment

sticking to it, into the centre of the mass. Either the relations of

inner and outer have no permanent existence, or they are very slightly

marked. But by the hypothesis, it is only because of their unlike

positions with respect to modifying forces, that the originally like

units of a living mass become unlike. We must therefore expect no

established differentiation of parts in creatures which exhibit no

established differences of position in their parts; and we must expect

extremely little differentiation of parts where the differences of

position are but little determined—which is just what we find.

This negative evidence is borne out by positive evidence. When we

turn from these proteiform specks of living jelly to organisms having an

unchanging distribution of substance, we find differences of tissue

corresponding to differences of relative position. In all the higher

_Protozoa_, as also in the _Protophyta_, we meet with a fundamental

differentiation into cell-membrane and cell-contents; answering to that

fundamental contrast of conditions implied by the terms outside and

inside. On passing from what are roughly classed as unicellular

organisms, to the lowest of those which consist of aggregated cells, we

equally observe the connection between structural differences and

differences of circumstance. Negatively, we see that in the sponge,

permeated throughout by currents of sea-water, the indefiniteness of

organization corresponds with the absence of definite unlikeness of

conditions: the peripheral and central portions are as little contrasted

in structure as in exposure to surrounding agencies. While positively,

we see that in a form like the _Thalassicolla_, which, though equally

humble, maintains its outer and inner parts in permanently unlike

circumstances, there is displayed a rude structure obviously

subordinated to the primary relations of centre and surface: in all its

many and important varieties, the parts exhibit a more or less

concentric arrangement.

After this primary modification, by which the outer tissues are

differentiated from the inner, the next in order of constancy and

importance is that by which some part of the outer tissues is

differentiated from the rest; and this corresponds with the almost

universal fact that some part of the outer tissues is more exposed to

certain environing influences than the rest. Here, as before, the

apparent exceptions are extremely significant. Some of the lowest

vegetal organisms, as the _Hematococci_ and _Protococci_, evenly

imbedded in a mass of mucus, or dispersed through the Arctic snow,

display no differentiations of surface; the several parts of their

surfaces being subjected to no definite contrasts of conditions.

Ciliated spheres such as the _Volvox_ have no parts of their periphery

unlike other parts; and it is not to be expected that they should have;

since, as they revolve in all directions, they do not, in traversing the

water, permanently expose any part to special conditions. But when we

come to organisms that are either fixed, or while moving preserve

definite attitudes, we no longer find uniformity of surface. The most

general fact which can be asserted with respect to the structures of

plants and animals, is, that however much alike in shape and texture the

various parts of the exterior may at first be, they acquire unlikenesses

corresponding to the unlikenesses of their relations to surrounding

agencies. The ciliated germ of a Zoophyte, which, during its locomotive

stage, is distinguishable only into outer and inner tissues, no sooner

becomes fixed, than its upper end begins to assume a different structure

from its lower. The disc-shaped _gemmæ_ of the _Marchantia_, originally

alike on both surfaces, and falling at random with either side

uppermost, immediately begin to develop rootlets on the under side, and

_stomata_ on the upper side: a fact proving beyond question, that this

primary differentiation is determined by this fundamental contrast of

conditions.

Of course in the germs of higher organisms, the metamorphoses

immediately due to the instability of the homogeneous, are soon masked

by those due to the assumption of the hereditary type. Such early

changes, however, as are common to all classes of organisms, and so

cannot be ascribed to heredity, entirely conform to the hypothesis. A

germ which has undergone no developmental modifications, consists of a

spheroidal group of homogeneous cells. Universally, the first step in

its evolution is the establishment of a difference between some of the

peripheral cells and the cells which form the interior—some of the

peripheral cells, after repeated spontaneous fissions, coalesce into a

membrane; and by continuance of the process this membrane spreads until

it speedily invests the entire mass, as in mammals, or, as in birds,

stops short of that for some time. Here we have two significant facts.

The first is, that the primary unlikeness arises between the exterior

and the interior. The second is, that the change which thus initiates

development, does not take place simultaneously over the whole exterior;

but commences at one place, and gradually involves the rest. Now these

facts are just those which might be inferred from the instability of the

homogeneous. The surface must, more than any other part, become unlike

the centre, because it is most dissimilarly conditioned; and all parts

of the surface cannot simultaneously exhibit this differentiation,

because they cannot be exposed to the incident forces with absolute

uniformity. One other general fact of like implication remains.

Whatever be the extent of this peripheral layer of cells, or blastoderm

as it is called, it presently divides into two layers—the serous and

mucous; or, as they have been otherwise called, the ectoderm and the

endoderm. The first of these is formed from that portion of the layer

which lies in contact with surrounding agents; and the second of them is

formed from that portion of the layer which lies in contact with the

contained mass of yelk. That is to say, after the primary

differentiation, more or less extensive, of surface from centre, the

resulting superficial portion undergoes a secondary differentiation into

inner and outer parts—a differentiation which is clearly of the same

order with the preceding, and answers to the next most marked contrast

of conditions.

But, as already hinted, this principle, understood in the simple form

here presented, supplies no key to the detailed phenomena of organic

development. It fails entirely to explain generic and specific

peculiarities; and indeed leaves us equally in the dark respecting those

more important distinctions by which families and orders are marked out.

Why two ova, similarly exposed in the same pool, should become the one a

fish, and the other a reptile, it cannot tell us. That from two

different eggs placed under the same hen, should respectively come forth

a duckling and a chicken, is a fact not to be accounted for on the

hypothesis above developed. We have here no alternative but to fall back

upon the unexplained principle of hereditary transmission. The capacity

possessed by an unorganized germ of unfolding into a complex adult,

which repeats ancestral traits in the minutest details, and that even

when it has been placed in conditions unlike those of its ancestors, is

a capacity we cannot at present understand. That a microscopic portion

of seemingly structureless matter should embody an influence of such

kind, that the resulting man will in fifty years after become gouty or

insane, is a truth which would be incredible were it not daily

illustrated. Should it however turn out, as we shall hereafter

find reason for suspecting, that these complex differentiations which

adults exhibit, are themselves the slowly accumulated and transmitted

results of a process like that seen in the first changes of the germ; it

will follow that even those embryonic changes due to hereditary

influence, are remote consequences of the alleged law. Should it be

shown that the slight modifications wrought during life on each adult,

and bequeathed to offspring along with all like preceding modifications,

are themselves unlikenesses of parts that are produced by unlikenesses

of conditions; then it will follow that the modifications displayed in

the course of embryonic development, are partly direct consequences of

the instability of the homogeneous, and partly indirect consequences of

it. To give reasons for entertaining this hypothesis, however, is

not needful for the justification of the position here taken. It is

enough that the most conspicuous differentiations which incipient

organisms universally display, correspond to the most marked differences

of conditions to which their parts are subject. It is enough that the

habitual contrast between outside and inside, which we _know_ is

produced in inorganic masses by unlikeness of exposure to incident

forces, is strictly paralleled by the first contrast that makes its

appearance in all organic masses.

It remains to point out that in the assemblage of organisms

constituting a species, the principle enunciated is equally traceable.

We have abundant materials for the induction that each species will

not remain uniform, but is ever becoming to some extent multiform; and

there is ground for the deduction that this lapse from homogeneity to

heterogeneity is caused by the subjection of its members to unlike

sets of circumstances. The fact that in every species, animal and

vegetal, the individuals are never quite alike; joined with the fact

that there is in every species a tendency to the production of

differences marked enough to constitute varieties; form a sufficiently

wide basis for the induction. While the deduction is confirmed by the

familiar experience that varieties are most numerous and decided

where, as among cultivated plants and domestic animals, the conditions

of life depart from the original ones, most widely and in the most

numerous ways. Whether we regard “natural selection” as wholly, or

only in part, the agency through which varieties are established,

matters not to the general conclusion. For as the survival of any

variety proves its constitution to be in harmony with a certain

aggregate of surrounding forces—as the multiplication of a variety and

the usurpation by it of an area previously occupied by some other part

of the species, implies different effects produced by such aggregate

of forces on the two, it is clear that this aggregate of forces is the

real cause of the differentiation—it is clear that if the variety

supplants the original species in some localities but not in others,

it does so because the aggregate of forces in the one locality is

unlike that in the other—it is clear that the lapse of the species

from a state of homogeneity to a state of heterogeneity arises from

the exposure of its different parts to different aggregates of forces.

* * * * *

§ 113. Among mental phenomena it is difficult to establish the alleged

law without an analysis too extensive for the occasion. To show

satisfactorily how states of consciousness, originally homogeneous,

become heterogeneous through differences in the changes wrought by

different forces, would require us carefully to trace out the

organization of early experiences. Were this done it would become

manifest that the development of intelligence, is, under one of its

chief aspects, a dividing into separate classes, the unlike things

previously confounded together in one class—a formation of sub-classes

and sub-sub-classes, until the once confused aggregate of objects known,

is resolved into an aggregate which unites extreme heterogeneity among

its multiplied groups, with complete homogeneity among the members of

each group. If, for example, we followed, through ascending grades of

creatures, the genesis of that vast structure of knowledge acquired by

sight, we should find that in the first stage, where eyes suffice for

nothing beyond the discrimination of light from darkness, the only

possible classifications of objects seen, must be those based on the

manner in which light is obstructed, and the degree in which it is

obstructed. We should find that by such undeveloped visual organs, the

shadows traversing the rudimentary retina would be merely distinguished

into those of the stationary objects which the creature passed during

its own movements, and those of the moving objects which came near the

creature while it was at rest; and that so the extremely general

classification of visible things into stationary and moving, would be

the earliest formed. We should find that whereas the simplest eyes are

not fitted to distinguish between an obstruction of light caused by a

small object close to, and an obstruction caused by a large object at

some distance, eyes a little more developed must be competent to such a

distinction; whence must result a vague differentiation of the class of

moving objects, into the nearer and the more remote. We should find that

such further improvements in vision as those which make possible a

better estimation of distances by adjustment of the optic axes, and

those which, through enlargement and subdivision of the retina, make

possible the discrimination of shapes, must have the effects of giving

greater definiteness to the classes already formed, and of sub-dividing

these into smaller classes, consisting of objects less unlike. And we

should find that each additional refinement of the perceptive organs,

must similarly lead to a multiplication of divisions and a sharpening of

the limits of each division. In every infant might be traced the

analogous transformation of a confused aggregate of impressions of

surrounding objects, not recognized as differing in their distances,

sizes, and shapes, into separate classes of objects unlike each other in

these and various other respects. And in the one case as in the other,

it might be shown that the change from this first indefinite, incoherent

and comparatively homogeneous consciousness, to a definite, coherent,

and heterogeneous one, is due to differences in the actions of incident

forces on the organism. These brief indications of what might be

shown, did space permit, must here suffice. Probably they will give

adequate clue to an argument by which each reader may satisfy himself

that the course of mental evolution offers no exception to the general

law. In further aid of such an argument, I will here add an illustration

that is comprehensible apart from the process of mental evolution as a

whole.

It has been remarked (I am told by Coleridge, though I have been unable

to find the passage) that with the advance of language, words which were

originally alike in their meanings acquire unlike meanings—a change

which he expresses by the formidable word “desynonymization.” Among

indigenous words this loss of equivalence cannot be clearly shown;

because in them the divergencies of meaning began before the dawn of

literature. But among words that have been coined, or adopted from other

languages, since the writing of books commenced, it is demonstrable. In

the old divines, _miscreant_ is used in its etymological sense of

_unbeliever_; but in modern speech it has entirely lost this sense.

Similarly with _evil-doer_ and _malefactor_: exactly synonymous as these

are by derivation, they are no longer synonymous by usage: by a

_malefactor_ we now understand a convicted criminal, which is far from

being the acceptation of _evil-doer_. The verb _produce_, bears in

Euclid its primary meaning—to _prolong_, or _draw out_; but the now

largely developed meanings of _produce_ have little in common with the

meanings of _prolong_, or _draw out_. In the Church of England liturgy,

an odd effect results from the occurrence of _prevent_ in its original

sense—_to come before_, instead of its modern specialized sense—_to come

before with the effect of arresting_. But the most conclusive cases are

those in which the contrasted words consist of the same parts

differently combined; as in _go under_ and _undergo_. We _go under_ a

tree, and we _undergo_ a pain. But though, if analytically considered,

the meanings of these expressions would be the same were the words

transposed, habit has so far modified their meanings that we could not

without absurdity speak of _undergoing_ a tree and _going under_ a pain.

Countless such instances might be brought to show that between two

words which are originally of like force, an equilibrium cannot be

maintained. Unless they are daily used in exactly equal degrees, in

exactly similar relations (against which there are infinite

probabilities), there necessarily arises a habit of associating one

rather than the other with particular acts, or objects. Such a habit,

once commenced, becomes confirmed; and gradually their homogeneity of

meaning disappears. In each individual we may see the tendency which

inevitably leads to this result. A certain vocabulary and a certain set

of phrases, distinguish the speech of each person: each person

habitually uses certain words in places where other words are habitually

used by other persons; and there is a continual recurrence of favourite

expressions. This inability to maintain a balance in the use of verbal

symbols, which characterizes every man, characterizes, by consequence,

aggregates of men; and the desynonymization of words is the ultimate

effect.

Should any difficulty be felt in understanding how these mental changes

exemplify a law of physical transformations that are wrought by physical

forces, it will disappear on contemplating acts of mind as nervous

functions. It will be seen that each loss of equilibrium above

instanced, is a loss of functional equality between some two elements of

the nervous system. And it will be seen that, as in other cases, this

loss of functional equality is due to differences in the incidence of

forces.

* * * * *

§ 114. Masses of men, in common with all other masses, show a like

proclivity similarly caused. Small combinations and large societies

equally manifest it; and in the one, as in the other, both governmental

and industrial differentiations are initiated by it. Let us glance at

the facts under these two heads.

A business partnership, balanced as the authorities of its members may

theoretically be, practically becomes a union in which the authority of

one partner is tacitly recognized as greater than that of the other or

others. Though the shareholders have given equal powers to the directors

of their company, inequalities of power soon arise among them; and

usually the supremacy of some one director grows so marked, that his

decisions determine the course which the board takes. Nor in

associations for political, charitable, literary, or other purposes, do

we fail to find a like process of division into dominant and subordinate

parties; each having its leader, its members of less influence, and its

mass of uninfluential members. These minor instances in which

unorganized groups of men, standing in homogeneous relations, may be

watched gradually passing into organized groups of men standing in

heterogeneous relations, give us the key to social inequalities.

Barbarous and civilized communities are alike characterized by

separation into classes, as well as by separation of each class into

more important and less important units; and this structure is

manifestly the gradually-consolidated result of a process like that

daily exemplified in trading and other combinations. So long as men are

constituted to act on one another, either by physical force or by force

of character, the struggles for supremacy must finally be decided in

favour of some one; and the difference once commenced must tend to

become ever more marked. Its unstable equilibrium being destroyed, the

uniform must gravitate with increasing rapidity into the multiform. And

so supremacy and subordination must establish themselves, as we see they

do, throughout the whole structure of a society, from the great

class-divisions pervading its entire body, down to village cliques, and

even down to every posse of school-boys. Probably it will be

objected that such changes result, not from the homogeneity of the

original aggregations, but from their non-homogeneity—from certain

slight differences existing among their units at the outset. This is

doubtless the proximate cause. In strictness, such changes must be

regarded as transformations of the relatively homogeneous into the

relatively heterogeneous. But it is abundantly clear that an aggregation

of men, absolutely alike in their endowments, would eventually undergo a

similar transformation. For in the absence of perfect uniformity in the

lives severally led by them—in their occupations, physical conditions,

domestic relations, and trains of thought and feeling—there must arise

differences among them; and these must finally initiate social

differentiations. Even inequalities of health caused by accidents, must,

by entailing inequalities of physical and mental power, disturb the

exact balance of mutual influences among the units; and the balance once

disturbed, must inevitably be lost. Whence, indeed, besides seeing that

a body of men absolutely homogeneous in their governmental relations,

must, like all other homogeneous bodies, become heterogeneous, we also

see that it must do this from the same ultimate cause—unequal exposure

of its parts to incident forces.

The first industrial divisions of societies are much more obviously due

to unlikenesses of external circumstances. Such divisions are absent

until such unlikenesses are established. Nomadic tribes do not

permanently expose any groups of their members to special local

conditions; nor does a stationary tribe, when occupying only a small

area, maintain from generation to generation marked contrasts in the

local conditions of its members; and in such tribes there are no decided

economical differentiations. But a community which, growing populous,

has overspread a large tract, and has become so far settled that its

members live and die in their respective districts, keeps its several

sections in different physical circumstances; and then they no longer

remain alike in their occupations. Those who live dispersed continue to

hunt or cultivate the earth; those who spread to the sea-shore fall into

maritime occupations; while the inhabitants of some spot chosen, perhaps

for its centrality, as one of periodical assemblage, become traders, and

a town springs up. Each of these classes undergoes a modification of

character consequent on its function, and better fitting it to its

function. Later in the process of social evolution these local

adaptations are greatly multiplied. A result of differences in soil and

climate, is that the rural inhabitants in different parts of the kingdom

have their occupations partially specialized; and become respectively

distinguished as chiefly producing cattle, or sheep, or wheat, or oats,

or hops, or cyder. People living where coal-fields are discovered are

transformed into colliers; Cornishmen take to mining because Cornwall is

metalliferous; and the iron-manufacture is the dominant industry where

ironstone is plentiful. Liverpool has assumed the office of importing

cotton, in consequence of its proximity to the district where cotton

goods are made; and for analogous reasons, Hull has become the chief

port at which foreign wools are brought in. Even in the establishment of

breweries, of dye-works, of slate-quarries, of brickyards, we may see

the same truth. So that both in general and in detail, the

specializations of the social organism which characterize separate

districts, primarily depend on local circumstances. Those divisions of

labour which under another aspect were interpreted as due to the setting

up of motion in the directions of least resistance (§ 91), are here

interpreted as due to differences in the incident forces; and the two

interpretations are quite consistent with each other. For that which in

each case _determines_ the direction of least resistance, is the

distribution of the forces to be overcome; and hence unlikenesses of

distribution in separate localities, entails unlikenesses in the course

of human action in those localities—entails industrial differentiations.

* * * * *

§ 115. In common with the general truths set forth in preceding

chapters, the instability of the homogeneous is demonstrable _à priori_.

It, like each of them, is a corollary from the persistence of force.

Already this has been tacitly implied by assigning unlikeness in the

exposure of its part to surrounding agencies, as the reason why a

uniform mass loses its uniformity. But here it will be proper to expand

this tacit implication into definite proof.

On striking a mass of matter with such force as either to indent it or

make it fly to pieces, we see both that the blow affects differently its

different parts, and that the differences are consequent on the unlike

relations of its parts to the force impressed. The part with which the

striking body comes in contact, receiving the whole of the communicated

momentum, is driven in towards the centre of the mass. It thus

compresses and tends to displace the more centrally situated portions of

the mass. These, however, cannot be compressed or thrust out of their

places without pressing on all surrounding portions. And when the blow

is violent enough to fracture the mass, we see, in the radial dispersion

of its fragments, that the original momentum, in being distributed

throughout it, has been divided into numerous minor momenta, unlike in

their directions. We see that these directions are determined by the

positions of the parts with respect to each other, and with respect to

the point of impact. We see that the parts are differently affected by

the disruptive force, because they are differently related to it in

their directions and attachments—that the effects being the joint

products of the cause and the conditions, cannot be alike in parts which

are differently conditioned. A body on which radiant heat is

falling, exemplifies this truth still more clearly. Taking the simplest

case (that of a sphere) we see that while the part nearest to the

radiating centre receives the rays at right angles, the rays strike the

other parts of the exposed side at all angles from 90° down to 0°.

Again, the molecular vibrations propagated through the mass from the

surface which receives the heat, must proceed inwards at angles

differing for each point. Further, the interior parts of the sphere

affected by the vibrations proceeding from all points of the heated

side, must be dissimilarly affected in proportion as their positions are

dissimilar. So that whether they be on the recipient area, in the

middle, or at the remote side, the constituent atoms are all thrown into

states of vibration more or less unlike each other.

But now, what is the ultimate meaning of the conclusion that a uniform

force produces different changes throughout a uniform mass, because the

parts of the mass stand in different relations to the force? Fully to

understand this, we must contemplate each part as simultaneously subject

to other forces—those of gravitation, of cohesion, of molecular motion,

&c. The effect wrought by an additional force, must be a resultant of it

and the forces already in action. If the forces already in action on two

parts of any aggregate, are different in their directions, the effects

produced on these two parts by like forces must be different in their

directions. Why must they be different? They must be different because

such unlikeness as exists between the two sets of factors, is made by

the presence in the one of some specially-directed force that is not

present in the other; and that this force will produce an effect,

rendering the total result in the one case unlike that in the other, is

a necessary corollary from the persistence of force. Still more

manifest does it become that the dissimilarly-placed parts of any

aggregate must be dissimilarly modified by an incident force, when we

remember that the _quantities_ of the incident force to which they are

severally subject, are not equal, as above supposed; but are nearly

always very unequal. The outer parts of masses are usually alone exposed

to chemical actions; and not only are their inner parts shielded from

the affinities of external elements, but such affinities are brought to

bear unequally on their surfaces; since chemical action sets up currents

through the medium in which it takes place, and so brings to the various

parts of the surface unequal quantities of the active agent. Again, the

amounts of any external radiant force which the different parts of an

aggregate receive, are widely contrasted: we have the contrast between

the quantity falling on the side next the radiating centre, and the

quantity, or rather no quantity, falling on the opposite side; we have

contrasts in the quantities received by differently-placed areas on the

exposed side; and we have endless contrasts between the quantities

received by the various parts of the interior. Similarly when mechanical

force is expended on any aggregate, either by collision, continued

pressure, or tension, the amounts of strain distributed throughout the

mass are manifestly unlike for unlike positions. But to say the

different parts of an aggregate receive different quantities of any

incident force, is to say that their states are modified by it in

different degrees—is to say that if they were before homogeneous in

their relations they must be rendered to a proportionate extent

heterogeneous; since, force being persistent, the different quantities

of it falling on the different parts, must work in them different

quantities of effect—different changes. Yet one more kindred

deduction is required to complete the argument. We may, by parallel

reasoning, reach the conclusion that, even apart from the action of any

external force, the equilibrium of a homogeneous aggregate must be

destroyed by the unequal actions of its parts on each other. That mutual

influence which produces aggregation (not to mention other mutual

influences) must work different effects on the different parts; since

they are severally exposed to it in unlike amounts and directions. This

will be clearly seen on remembering that the portions of which the whole

is made up, may be severally regarded as minor wholes; that on each of

these minor wholes, the action of the entire aggregate then becomes an

external incident force; that such external incident force must, as

above shown, work unlike changes in the parts of any such minor whole;

and that if the minor wholes are severally thus rendered heterogeneous,

the entire aggregate is rendered heterogeneous.

The instability of the homogeneous is thus deducible from that

primordial truth which underlies our intelligence. One stable

homogeneity only, is hypothetically possible. If centres of force,

absolutely uniform in their powers, were diffused with absolute

uniformity through unlimited space, they would remain in equilibrium.

This however, though a verbally intelligible supposition, is one that

cannot be represented in thought; since unlimited space is

inconceivable. But all finite forms of the homogeneous—all forms of it

which we can know or conceive, must inevitably lapse into heterogeneity.

In three several ways does the persistence of force necessitate this.

Setting external agencies aside, each unit of a homogeneous whole must

be differently affected from any of the rest by the aggregate action of

the rest upon it. The resultant force exercised by the aggregate on each

unit, being in no two cases alike in both amount and direction, and

usually not in either, any incident force, even if uniform in amount and

direction, cannot produce like effects on the units. And the various

positions of the parts in relation to any incident force, preventing

them from receiving it in uniform amounts and directions, a further

difference in the effects wrought on them is inevitably produced.

One further remark is needed. To the conclusion that the changes with

which Evolution _commences_, are thus necessitated, remains to be added

the conclusion that these changes must _continue_. The absolutely

homogeneous must lose its equilibrium; and the relatively homogeneous

must lapse into the relatively less homogeneous. That which is true of

any total mass, is true of the parts into which it segregates. The

uniformity of each such part must as inevitably be lost in multiformity,

as was that of the original whole; and for like reasons. And thus the

continued changes which characterize Evolution, in so far as they are

constituted by the lapse of the homogeneous into the heterogeneous, and

of the less heterogeneous into the more heterogeneous, are necessary

consequences of the persistence of force.

-----

Footnote 16:

The idea developed in this chapter originally formed part of an

article on “Transcendental Physiology,” published in 1857. See

_Essays_, pp. 279–290.

First Principles · 第 13 / 17 章