When all these great truths respecting molar motion, or the movements

of visible and tangible masses, had been shown to hold good not only

of terrestrial bodies, but of all those which constitute the visible

universe, and the movements of the macrocosm had thus been expressed

by a general mechanical theory, there remained a vast number of

phenomena, such as those of light, heat, electricity, magnetism, and

those of the physical and chemical changes, which do not involve molar

motion. Newton's corpuscular theory of light was an attempt to deal

with one great series of these phenomena on mechanical principles, and

it maintained its ground until, at the beginning of the nineteenth

century, the undulatory theory proved itself to be a much better

working hypothesis. Heat, up to that time, and indeed much later, was

regarded as an imponderable substance, _caloric_; as a thing which was

absorbed by bodies when they were wanned, and was given out as they

cooled; and which, moreover, was capable of entering into a sort of

chemical combination with them, and so becoming latent. Rumford and

Davy had given a great blow to this view of heat by proving that the

quantity of heat which two portions of the same body could be made to

give out, by rubbing them together, was practically illimitable. This

result brought philosophers face to face with the contradiction of

supposing that a finite body could contain an infinite quantity of

another body; but it was not until 1843, that clear and unquestionable

experimental proof was given of the fact that there is a definite

relation between mechanical work and heat; that so much work always

gives rise, under the same conditions, to so much heat, and so much

heat to so much mechanical work. Thus originated the mechanical theory

of heat, which became the starting-point of the modern doctrine of the

conservation of energy. Molar motion had appeared to be destroyed by

friction. It was proved that no destruction took place, but that an

exact equivalent of the energy of the lost molar motion appears as

that of the _molecular_ motion, or motion of the smallest particles of

a body, which constitutes heat. The loss of the masses is the gain of

their particles.

[Sidenote: Earlier approaches towards doctrine of conservation.]

Before 1843, however, the doctrine of conservation of energy had been

approached Bacon's chief contribution to positive science is the happy

guess (for the context shows that it was little more) that heat may be

a mode of motion; Descartes affirmed the quantity of motion in the

world to be constant; Newton nearly gave expression to the complete

theorem; while Rumford's and Davy's experiments suggested, though they

did not prove, the equivalency of mechanical and thermal energy.

Again, the discovery of voltaic electricity, and the marvellous

development of knowledge, in that field, effected by such men as Davy,

Faraday, Oersted, Ampère, and Melloni, had brought to light a number

of facts which tended to show that the so-called 'forces' at work in

light, heat, electricity, and magnetism, in chemical and in mechanical

operations, were intimately, and, in various cases, quantitatively

related. It was demonstrated that any one could be obtained at the

expense of any other; and apparatus was devised which exhibited the

evolution of all these kinds of action from one source of energy.

Hence the idea of the 'correlation of forces' which was the immediate

forerunner of the doctrine of the conservation of energy.

It is a remarkable evidence of the greatness of the progress in this

direction which has been effected in our time, that even the second

edition of the 'History of the Inductive Sciences,' which was

published in 1846, contains no allusion either to the general view of

the 'Correlation of Forces' published in England in 1842, or to the

publication in 1843 of the first of the series of experiments by which

the mechanical equivalent of heat was correctly ascertained.[I] Such a

failure on the part of a contemporary, of great acquirements and

remarkable intellectual powers, to read the signs of the times, is a

lesson and a warning worthy of being deeply pondered by anyone who

attempts to prognosticate the course of scientific progress.

[Sidenote: What this doctrine is.]

I have pointed out that the growth of clear and definite views

respecting the constitution of matter has led to the conclusion that,

so far as natural agencies are concerned, it is ingenerable and

indestructible. In so far as matter may be conceived to exist in a

purely passive state, it is, imaginably, older than motion. But, as it

must be assumed to be susceptible of motion, a particle of bare matter

at rest must be endowed with the potentiality of motion. Such a

particle, however, by the supposition, can have no energy, for there

is no cause why it should move. Suppose now that it receives an

impulse, it will begin to move with a velocity inversely proportional

to its mass, on the one hand, and directly proportional to the

strength of the impulse, on the other, and will possess _kinetic

energy_, in virtue of which it will not only continue to move for ever

if unimpeded, but if it impinges on another such particle, it will

impart more or less of its motion, to the latter. Let it be conceived

that the particle acquires a tendency to move, and that nevertheless

it does not move. It is then in a condition totally different from

that in which it was at first. A cause competent to produce motion is

operating upon it, but, for some reason or other, is unable to give

rise to motion. If the obstacle is removed, the energy which was

there, but could not manifest itself, at once gives rise to motion.

While the restraint lasts, the energy of the particle is merely

potential; and the case supposed illustrates what is meant by

_potential energy_. In this contrast of the potential with the actual,

modern physics is turning to account the most familiar of Aristotelian

distinctions--that between dunamis and energeia.

That kinetic energy appears to be imparted by impact is a fact of

daily and hourly experience: we see bodies set in motion by bodies,

already in motion, which seem to come in contact with them. It is a

truth which could have been learned by nothing but experience, and

which cannot be explained, but must be taken as an ultimate fact

about which, explicable or inexplicable, there can be no doubt.

Strictly speaking, we have no direct apprehension of any other cause

of motion. But experience furnishes innumerable examples of the

production of kinetic energy in a body previously at rest, when no

impact is discernible as the cause of that energy. In all such cases,

the presence of a second body is a necessary condition; and the amount

of kinetic energy, which its presence enables the first to gain, is

strictly dependent on the relative positions of the two. Hence the

phrase _energy of position_, which is frequently used as equivalent to

potential energy. If a stone is picked up and held, say, six feet

above the ground, it has _potential energy_, because, if let go, it

will immediately begin to move towards the earth; and this energy may

be said to be _energy of position_, because it depends upon the

relative position of the earth and the stone. The stone is solicited

to move but cannot, so long as the muscular strength of the holder

prevents the solicitation from taking effect. The stone, therefore,

has potential energy, which becomes kinetic if it is let go, and the

amount of that kinetic energy which will be developed before it

strikes the earth depends on its position--on the fact that it is,

say, six feet off the earth, neither more nor less. Moreover, it can

be proved that the raiser of the stone had to exert as much energy in

order to place it in its position, as it will develop in falling.

Hence the energy which was exerted, and apparently exhausted, in

raising the stone, is potentially in the stone, in its raised

position, and will manifest itself when the stone is set free. Thus

the energy, withdrawn from the general stock to raise the stone, is

returned when it falls, and there is no change in the total amount.

Energy, as a whole, is conserved.

Taking this as a very broad and general statement of the essential

facts of the case, the raising of the stone is intelligible enough, as

a case of the communication of motion from one body to another. But

the potential energy of the raised stone is not so easily

intelligible. To all appearance, there is nothing either pushing or

pulling it towards the earth, or the earth towards it; and yet it is

quite certain that the stone tends to move towards the earth and the

earth towards the stone, in the way defined by the law of gravitation.

In the currently accepted language of science, the cause of motion, in

all such cases as this, when bodies tend to move towards or away from

one or another, without any discernible impact of other bodies, is

termed a 'force,' which is called 'attractive' in the one case, and

'repulsive' in the other. And such attractive or repulsive forces are

often spoken of as if they were real things, capable of exerting a

pull, or a push, upon the particles of matter concerned. Thus the

potential energy of the stone is commonly said to be due to the

'force' of gravity which is continually operating upon it.

Another illustration may make the case plainer. The bob of a pendulum

swings first to one side and then to the other of the centre of the

arc which it describes. Suppose it to have just reached the summit of

its right-hand half-swing. It is said that the 'attractive forces' of

the bob for the earth, and of the earth for the bob, set the former in

motion; and as these 'forces' are continually in operation, they

confer an accelerated velocity on the bob; until, when it reaches the

centre of its swing, it is, so to speak, fully charged with kinetic

energy. If, at this moment, the whole material universe, except the

bob, were abolished, it would move for ever in the direction of a

tangent to the middle of the arc described. As a matter of fact, it

is compelled to travel through its left-hand half-swing, and thus

virtually to go up hill. Consequently, the 'attractive forces' of the

bob and the earth are now acting against it, and constitute a

resistance which the charge of kinetic energy has to overcome. But, as

this charge represents the operation of the attractive forces during

the passage of the bob through the right-hand half-swing down to the

centre of the arc, so it must needs be used up by the passage of the

bob upwards from the centre of the arc to the summit of the left-hand

half-swing. Hence, at this point, the bob comes to a momentary rest.

The last fraction of kinetic energy is just neutralised by the action

of the attractive forces, and the bob has only potential energy equal

to that with which it started. So that the sum of the phenomena may be

stated thus: At the summit of either half-arc of its swing, the bob

has a certain amount of potential energy; as it descends it gradually

exchanges this for kinetic energy, until at the centre it possesses an

equivalent amount of kinetic energy; from this point onwards, it

gradually loses kinetic energy as it ascends, until, at the summit of

the other half-arc, it has acquired an exactly similar amount of

potential energy. Thus, on the whole transaction, nothing is either

lost or gained; the quantity of energy is always the same, but it

passes from one form into the other.

To all appearance, the phenomena exhibited by the pendulum are not to

be accounted for by impact: in fact, it is usually assumed that

corresponding phenomena would take place if the earth and the pendulum

were situated in an absolute vacuum, and at any conceivable distance

from, one another. If this be so, it follows that there must be two

totally different kinds of causes of motion: the one impact--a _vera

causa_, of which, to all appearance, we have constant experience; the

other, attractive or repulsive 'force'--a metaphysical entity which is

physically inconceivable. Newton expressly repudiated the notion of

the existence of attractive forces, in the sense in which that term is

ordinarily understood; and he refused to put forward any hypothesis as

to the physical cause of the so-called 'attraction of gravitation.' As

a general rule, his successors have been content to accept the

doctrine of attractive and repulsive forces, without troubling

themselves about the philosophical difficulties which it involves. But

this has not always been the case; and the attempt of Le Sage, in the

last century, to show that the phenomena of attraction and repulsion

are susceptible of explanation by his hypothesis of bombardment by

ultra-mundane particles, whether tenable or not, has the great merit

of being an attempt to get rid of the dual conception of the causes

of motion which has hitherto prevailed. On this hypothesis, the

hammering of the ultra-mundane corpuscles on the bob confers its

kinetic energy, on the one hand, and takes it away on the other; and

the state of potential energy means the condition of the bob during

the instant at which the energy, conferred by the hammering during the

one half-arc, has just been exhausted by the hammering during the

other half-arc. It seems safe to look forward to the time when the

conception of attractive and repulsive forces, having served its

purpose as a useful piece of scientific scaffolding, will be replaced

by the deduction of the phenomena known as attraction and repulsion,

from the general laws of motion.

The doctrine of the conservation of energy which I have endeavored to

illustrate is thus defined by the late Clerk Maxwell:

'The total energy of any body or system of bodies is a quantity which

can neither be increased nor diminished by any mutual action of such

bodies, though it may be transformed into any one of the forms of

which energy is susceptible.' It follows that energy, like matter, is

indestructible and ingenerable in nature. The phenomenal world, so far

as it is material, expresses the evolution and involution of energy,

its passage from the kinetic to the potential condition and back

again. Wherever motion of matter takes place, that motion is effected

at the expense of part of the total store of energy.

Hence, as the phenomena exhibited by living beings, in so far as they

are material, are all molar or molecular motions, these are included

under the general law. A living body is a machine by which energy is

transformed in the same sense as a steam-engine is so, and all its

movements, molar and molecular, are to be accounted for by the energy

which is supplied to it. The phenomena of consciousness which arise,

along with certain transformations of energy, cannot be interpolated

in the series of these transformations, inasmuch as they are not

motions to which the doctrine of the conservation of energy applies.

And, for the same reason, they do not necessitate the using up of

energy; a sensation has no mass and cannot be conceived to be

susceptible of movement. That a particular molecular motion does give

rise to a state of consciousness is experimentally certain; but the

how and why of the process are just as inexplicable as in the case of

the communication of kinetic energy by impact.

When dealing with the doctrine of the ultimate constitution of matter,

we found a certain resemblance between the oldest speculations and the

newest doctrines of physical philosophers. But there is no such

resemblance between the ancient and modern views of motion and its

causes, except in so far as the conception of attractive and repulsive

forces may be regarded as the modified descendant of the Aristotelian

conception of forms. In fact, it is hardly too much to say that the

essential and fundamental difference between ancient and modern

physical science lies in the ascertainment of the true laws of statics

and dynamics in the course of the last three centuries; and in the

invention of mathematical methods of dealing with all the consequences

of these laws. The ultimate aim of modern physical science is the

deduction of the phenomena exhibited by material bodies from

physico-mathematical first principles. Whether the human intellect is

strong enough to attain the goal set before it may be a question, but

thither will it surely strive.

[Sidenote: (3) Evolution.]

The third great scientific event of our time, the rehabilitation of

the doctrine of evolution, is part of the same tendency of increasing

knowledge to unify itself, which has led to the doctrine of the

conservation of energy. And this tendency, again, is mainly a product

of the increasing strength conferred by physical investigation on the

belief in the universal validity of that orderly relation of facts,

which we express by the so-called 'Laws of Nature.'

[Sidenote: Early stages of this theory]

The growth of a plant from its seed, of an animal from its egg, the

apparent origin of innumerable living things from mud, or from the

putrefying remains of former organisms, had furnished the earlier

scientific thinkers with abundant analogies suggestive of the

conception of a corresponding method of cosmic evolution from a

formless 'chaos' to an ordered world which might either continue for

ever or undergo dissolution into its elements before starting on a new

course of evolution. It is therefore no wonder that, from the days of

the Ionian school onwards, the view that the universe was the result

of such a process should have maintained itself as a leading dogma of

philosophy. The emanistic theories which played so great a part in

Neoplatonic philosophy and Gnostic theology are forms of evolution. In

the seventeenth century, Descartes propounded a scheme of evolution,

as an hypothesis of what might have been the mode of origin of the

world, while professing to accept the ecclesiastical scheme of

creation, as an account of that which actually was its manner of

coming into existence. In the eighteenth century, Kant put forth a

remarkable speculation as to the origin of the solar system, closely

similar to that subsequently adopted by Laplace and destined to become

famous under the title of the 'nebular hypothesis.'

The careful observations and the acute reasonings of the Italian

geologists of the seventeenth and eighteenth centuries; the

speculations of Leibnitz in the 'Protogaea' and of Buffon in his

'Théorie de la Terre;' the sober and profound reasonings of Hutton, in

the latter part of the eighteenth century; all these tended to show

that the fabric of the earth itself implied the continuance of

processes of natural causation for a period of time as great, in

relation to human history, as the distances of the heavenly bodies

from us are, in relation to terrestrial standards of measurement. The

abyss of time began to loom as large as the abyss of space. And this

revelation to sight and touch, of a link here and a link there of a

practically infinite chain of natural causes and effects, prepared the

way, as perhaps nothing else has done, for the modern form of the

ancient theory of evolution.

In the beginning of the eighteenth century, De Maillet made the first

serious attempt to apply the doctrine to the living world. In the

latter part of it, Erasmus Darwin, Goethe, Treviranus, and Lamarck

took up the work more vigorously and with better qualifications. The

question of special creation, or evolution, lay at the bottom of the

fierce disputes which broke out in the French Academy between Cuvier

and St.-Hilaire; and, for a time, the supporters of biological

evolution were silenced, if not answered, by the alliance of the

greatest naturalist of the age with their ecclesiastical opponents.

Catastrophism, a short-sighted teleology, and a still more

short-sighted orthodoxy, joined forces to crush evolution.

Lyell and Poulett Scrope, in this country, resumed the work of the

Italians and of Hutton; and the former, aided by a marvellous power of

clear exposition, placed upon an irrefragable basis the truth that

natural causes are competent to account for all events, which can be

proved to have occurred, in the course of the secular changes which

have taken place during the deposition of the stratified rocks. The

publication of 'The Principles of Geology,' in 1830, constituted an

epoch in geological science. But it also constituted an epoch in the

modern history of the doctrines of evolution, by raising in the mind

of every intelligent reader this question: If natural causation is

competent to account for the not-living part of our globe, why should

it not account for the living part?

By keeping this question before the public for some thirty years,

Lyell, though the keenest and most formidable of the opponents of the

transmutation theory, as it was formulated by Lamarck, was of the

greatest possible service in facilitating the reception of the sounder

doctrines of a later day. And, in like fashion, another vehement

opponent of the transmutation of species, the elder Agassiz, was

doomed to help the cause he hated. Agassiz not only maintained the

fact of the progressive advance in organisation of the inhabitants of

the earth at each successive geological epoch, but he insisted upon

the analogy of the steps of this progression with those by which the

embryo advances to the adult condition, among the highest forms of

each group. In fact, in endeavoring to support these views he went a

good way beyond the limits of any cautious interpretation of the facts

then known.

[Sidenote: Darwin]

Although little acquainted with biological science, Whewell seems to

have taken particular pains with that part of his work which deals

with the history of geological and biological speculation; and several

chapters of his seventeenth and eighteenth books, which comprise the

history of physiology, of comparative anatomy and of the

palætiological sciences, vividly reproduce the controversies of the

early days of the Victorian epoch. But here, as in the case of the

doctrine of the conservation of energy, the historian of the inductive

sciences has no prophetic insight; not even a suspicion of that which

the near future was to bring forth. And those who still repeat the

once favorite objection that Darwin's 'Origin of Species' is nothing

but a new version of the 'Philosophie zoologique' will find that, so

late as 1844, Whewell had not the slightest suspicion of Darwin's main

theorem, even as a logical possibility. In fact, the publication of

that theorem by Darwin and Wallace, in 1859, took all the biological

world by surprise. Neither those who were inclined towards the

'progressive transmutation' or 'development' doctrine, as it was then

called, nor those who were opposed to it, had the slightest suspicion

that the tendency to variation in living beings, which all admitted as

a matter of fact; the selective influence of conditions, which no one

could deny to be a matter of fact, when his attention was drawn to the

evidence; and the occurrence of great geological changes which also

was matter of fact; could be used as the only necessary postulates of

a theory of the evolution of plants and animals which, even if not at

once, competent to explain all the known facts of biological science,

could not be shown to be inconsistent with any. So far as biology is

concerned, the publication of the 'Origin of Species,' for the first

time, put the doctrine of evolution, in its application to living

things, upon a sound scientific foundation. It became an instrument of

investigation, and in no hands did it prove more brilliantly

profitable than in those of Darwin himself. His publications on the

effects of domestication in plants and animals, on the influence of

cross-fertilisation, on flowers as organs for effecting such

fertilisation, on insectivorous plants, on the motions of plants,

pointed out the routes of exploration which have since been followed

by hosts of inquirers, to the great profit of science.

Darwin found the biological world a more than sufficient field for

even his great powers, and left the cosmical part of the doctrine to

others. Not much has been added to the nebular hypothesis, since the

time of Laplace, except that the attempt to show (against that

hypothesis) that all nebulæ are star clusters, has been met by the

spectroscopic proof of the gaseous condition of some of them.

Moreover, physicists of the present generation appear now to accept

the secular cooling of the earth, which is one of the corollaries of

that hypothesis. In fact, attempts have been made, by the help of

deductions from the data of physics, to lay down an approximate limit

to the number of millions of years which have elapsed since the earth

was habitable by living beings. If the conclusions thus reached should

stand the test of further investigation, they will undoubtedly be very

valuable. But, whether true or false, they can have no influence upon

the doctrine of evolution in its application to living organisms. The

occurrence of successive forms of life upon our globe is an historical

fact, which cannot be disputed; and the relation of these successive

forms, as stages of evolution of the same type, is established in

various cases. The biologist has no means of determining the time over

which the process of evolution has extended, but accepts the

computation of the physical geologist and the physicist, whatever that

may be.

[Sidenote: and philosophy]

Evolution as a philosophical doctrine applicable to all phenomena,

whether physical or mental, whether manifested by material atoms or by

men in society, has been dealt with systematically in the 'Synthetic

Philosophy' of Mr. Herbert Spencer. Comment on that great undertaking

would not be in place here. I mention it because, so far as I know, it

is the first attempt to deal, on scientific principles, with modern

scientific facts and speculations. For the 'Philosophic positive' of

M. Comte, with which Mr. Spencer's system of philosophy is sometimes

compared, though it professes a similar object, is unfortunately

permeated by a thoroughly unscientific spirit, and its author had no

adequate acquaintance with the physical sciences even of his own time.

* * * * *

The doctrine of evolution, so far as the present physical cosmos is

concerned, postulates the fixity of the rules of operation of the

causes of motion in the material universe. If all kinds of matter are

modifications of one kind, and if all modes of motion are derived from

the same energy, the orderly evolution of physical nature out of one

substratum and one energy implies that the rules of action of that

energy should be fixed and definite. In the past history of the

universe, back to that point, there can be no room for chance or

disorder. But it is possible to raise the question whether this

universe of simplest matter and definitely operating energy, which

forms our hypothetical starting point, may not itself be a product of

evolution from a universe of such matter, in which the manifestations

of energy were not definite--in which, for example, our laws of motion

held good for some units and not for others, or for the same units at

one time and not at another--and which would therefore be a real

epicurean chance-world?

For myself, I must confess that I find the air of this region of

speculation too rarefied for my constitution, and I am disposed to

take refuge in 'ignoramus et ignorabimus.'

[Sidenote: Other achievements in physical science.]

The execution of my further task, the indication of the most important

achievements in the several branches of physical science during the

last fifty years, is embarrassed by the abundance of the objects of

choice; and by the difficulty which everyone, but a specialist in each

department, must find in drawing a due distinction between discoveries

which strike the imagination by their novelty, or by their practical

influence, and those unobtrusive but pregnant observations and

experiments in which the germs of the great things of the future

really lie. Moreover, my limits restrict me to little more than a bare

chronicle of the events which I have to notice.

[Sidenote: Physics and chemistry.]

In physics and chemistry, the old boundaries of which sciences are

rapidly becoming effaced, one can hardly go wrong in ascribing a

primary value to the investigations into the relation between the

solid, liquid, and gaseous states of matter on the one hand, and

degrees of pressure and of heat on the other. Almost all, even the

most refractory, solids have been vaporised by the intense heat of the

electric arc; and the most refractory gases have been forced to assume

the liquid, and even the solid, forms by the combination of high

pressure with intense cold. It has further been shown that there is no

discontinuity between these states--that a gas passes into the liquid

state through a condition which is neither one nor the other, and that

a liquid body becomes solid, or a solid liquid, by the intermediation

of a condition in which it is neither truly solid nor truly liquid.

Theoretical and experimental investigations have concurred in the

establishment of the view that a gas is a body, the particles of which

are in incessant rectilinear motion at high velocities, colliding with

one another and bounding back when they strike the walls of the

containing vessel; and, on this theory, the already ascertained

relations of gaseous bodies to heat and pressure have been shown to be

deducible from mechanical principles. Immense improvements have been

effected, in the means of exhausting a given space of its gaseous

contents; and experimentation on the phenomena which attend the

electric discharge and the action of radiant heat, within the

extremely rarefied media thus produced, has yielded a great number of

remarkable results, some of which have been made familiar to the

public by the Gieseler tubes and the radiometer. Already, these

investigations have afforded an unexpected insight into the

constitution of matter and its relations with thermal and electric

energy, and they open up a vast field for future inquiry into some of

the deepest problems of physics. Other important steps, in the same

direction, have been effected by investigations into the absorption of

radiant heat proceeding from different sources by solid, fluid, and

gaseous bodies. And it is a curious example of the interconnection of

the various branches of physical science, that some of the results

thus obtained have proved of great importance in meteorology.

[Sidenote: The spectroscope.]

The existence of numerous dark lines, constant in their number and

position in the various regions of the solar spectrum, was made out by

Fraunhofer in the early part of the present century, but more than

forty years elapsed before their causes were ascertained and their

importance recognised. Spectroscopy, which then took its rise, is

probably that employment of physical knowledge, already won, as a

means of further acquisition, which most impresses the imagination.

For it has suddenly and immensely enlarged our power of overcoming the

obstacles which almost infinite minuteness on the one hand, and almost

infinite distance on the other, have hitherto opposed to the

recognition of the presence and the condition of matter. One

eighteen-millionth of a grain of sodium in the flame of a spirit-lamp

may be detected by this instrument; and, at the same time, it gives

trust-worthy indications of the material constitution not only of the

sun, but of the farthest of those fixed stars and nebulæ which afford

sufficient light to affect the eye, or the photographic plate, of the

inquirer.

[Sidenote: Electricity.]

The mathematical and experimental elucidation of the phenomena of

electricity, and the study of the relations of this form of energy

with chemical and thermal action, had made extensive progress before

1837. But the determination of the influence of magnetism on light,

the discovery of diamagnetism, of the influence of crystalline

structure on magnetism, and the completion of the mathematical theory

of electricity, all belong to the present epoch. To it also appertain

the practical execution and the working out of the results of the

great international system of observations on terrestrial magnetism,

suggested by Humboldt in 1836; and the invention of instruments of

infinite delicacy and precision for the quantitative determination of

electrical phenomena. The voltaic battery has received vast

improvements; while the invention of magneto-electric engines and of

improved means of producing ordinary electricity has provided sources

of electrical energy vastly superior to any before extant in power,

and far more convenient for use.

It is perhaps this branch of physical science which may claim the palm

for its practical fruits, no less than for the aid which it has

furnished to the investigation of other parts of the field of physical

science. The idea of the practicability of establishing a

communication between distant points, by means of electricity, could

hardly fail to have simmered in the minds of ingenious men since,

well nigh a century ago, experimental proof was given that electric

disturbances could be propagated through a wire twelve thousand feet

long. Various methods of carrying the suggestion into practice had

been carried out with some degree of success; but the system of

electric telegraphy, which, at the present time, brings all parts of

the civilised world within a few minutes of one another, originated

only about the commencement of the epoch under consideration. In its

influence on the course of human affairs, this invention takes its

place beside that of gunpowder, which tended to abolish the physical

inequalities of fighting men; of printing, which tended to destroy the

effect of inequalities in wealth among learning men; of steam

transport, which has done the like for travelling men. All these gifts

of science are aids in the process of levelling up; of removing the

ignorant and baneful prejudices of nation against nation, province

against province, and class against class; of assuring that social

order which is the foundation of progress, which has redeemed Europe

from barbarism, and against which one is glad to think that those who,

in our time, are employing themselves in fanning the embers of ancient

wrong, in setting class against class, and in trying to tear asunder

the existing bonds of unity, are undertaking a futile struggle. The

telephone is only second in practical importance to the electric

telegraph. Invented, as it were, only the other day, it has already

taken its place as an appliance of daily life. Sixty years ago, the

extraction of metals from their solutions, by the electric current,

was simply a highly interesting scientific fact. At the present day,

the galvano-plastic art is a great industry; and, in combination with

photography, promises to be of endless service in the arts. Electric

lighting is another great gift of science to civilisation, the

practical effects of which have not yet been fully developed, largely

on account of its cost. But those whose memories go back to the

tinder-box period, and recollect the cost of the first lucifer

matches, will not despair of the results of the application of science

and ingenuity to the cheap production of anything for which there is a

large demand.

The influence of the progress of electrical knowledge and invention

upon that of investigation in other fields of science is highly

remarkable. The combination of electrical with mechanical contrivances

has produced instruments by which, not only may extremely small

intervals of time be exactly measured, but the varying rapidity of

movements, which take place in such intervals and appear to the

ordinary sense instantaneous, is recorded. The duration of the winking

of an eye is a proverbial expression for an instantaneous action;

but, by the help of the revolving cylinder and the electrical

marking-apparatus, it is possible to obtain a graphic record of such

an action, in which, if it endures a second, that second shall be

subdivided into a hundred, or a thousand, equal parts, and the state

of the action at each hundredth, or thousandth, of a second exhibited.

In fact, these instruments may be said to be time-microscopes. Such

appliances have not only effected a revolution in physiology, by the

power of analysing the phenomena of muscular and nervous activity

which they have conferred, but they have furnished new methods of

measuring the rate of movement of projectiles to the artillerist.

Again, the microphone, which renders the minutest movements audible,

and which enables a listener to hear the footfall of a fly, has

equipped the sense of hearing with the means of entering almost as

deeply into the penetralia of nature, as does the sense of sight.

[Sidenote: Photography as an instrument of science.]

That light exerts a remarkable influence in bringing about certain

chemical combinations and decompositions was well known fifty years

ago, and various more or less successful attempts to produce permanent

pictures, by the help of that knowledge, had already been made. It was

not till 1839, however, that practical success was obtained; but the

'daguerreotypes' were both cumbrous and costly, and photography would

never have attained its present important development had not the

progress of invention substituted paper and glass for the silvered

plates then in use. It is not my affair to dwell upon the practical

application of the photography of the present day, but it is germane

to my purpose to remark that it has furnished a most valuable

accessory to the methods of recording motions and lapse of time

already in existence. In the hands of the astronomer and the

meteorologist, it has yielded means of registering terrestrial, solar,

planetary, and stellar phenomena, independent of the sources of error

attendant on ordinary observation; in the hands of the physicist, not

only does it record spectroscopic phenomena with unsurpassable ease

and precision, but it has revealed the existence of rays having

powerful chemical energy, or beyond the visible limits of either end

of the spectrum; while, to the naturalist, it furnishes the means by

which the forms of many highly complicated objects may be represented,

without that possibility of error which is inherent in the work of the

draughtsman. In fact, in many cases, the stern impartiality of

photography is an objection to its employment: it makes no distinction

between the important and the unimportant; and hence photographs of

dissections, for example, are rarely so useful as the work of a

draughtsman who is at once accurate and intelligent.

[Sidenote: Astronomy,]

The determination of the existence of a new planet, Neptune, far

beyond the previously known bounds of the solar system, by

mathematical deduction from the facts of perturbation; and the

immediate confirmation of that determination, in the year 1846, by

observers who turned their telescopes into the part of the heavens

indicated as its place, constitute a remarkable testimony of nature to

the validity of the principles of the astronomy of our time. In

addition, so many new asteroids have been added to those which were

already known to circulate in the place which theoretically should be

occupied by a planet, between Mars and Jupiter, that their number now

amounts to between two and three hundred. I have already alluded to

the extension of our knowledge of the nature of the heavenly bodies by

the employment of spectroscopy. It has not only thrown wonderful

light upon the physical and chemical constitution of the sun, fixed

stars, and nebulæ, and comets, but it holds out a prospect of

obtaining definite evidence as to the nature of our so-called

elementary bodies.

[Sidenote: its relation to geology.]

The application of the generalisations of thermotics to the problem of

the duration of the earth, and of deductions from tidal phenomena to

the determination of the length of the day and of the time of

revolution of the moon, in past epochs of the history of the universe;

and the demonstration of the competency of the great secular changes,

known under the general name of the precession of the equinoxes, to

cause corresponding modifications in the climate of the two

hemispheres of our globe, have brought astronomy into intimate

relation with geology. Geology, in fact, proves that, in the course of

the past history of the earth, the climatic conditions of the same

region have been widely different, and seeks the explanation of this

important truth from the sister sciences. The facts that, in the

middle of the Tertiary epoch, evergreen trees abounded within the

arctic circle; and that, in the long subsequent Quaternary epoch, an

arctic climate, with its accompaniment of gigantic glaciers, obtained

in the northern hemisphere, as far south as Switzerland and Central

France, are as well established as any truths of science. But, whether

the explanation of these extreme variations in the mean temperature of

a great part of the northern hemisphere is to be sought in the

concomitant changes in the distribution of land and water surfaces of

which geology affords evidence, or in astronomical conditions, such as

those to which I have referred, is a question which must await its

answer from the science of the future.

[Sidenote: Biological sciences.]

[Sidenote: The 'cell theory.']

Turning now to the great steps in that progress which the biological

sciences have made since 1837, we are met, on the threshold of our

epoch, with perhaps the greatest of all--namely, the promulgation by

Schwann, in 1839, of the generalisation known as the 'cell theory,'

the application and extension of which by a host of subsequent

investigators has revolutionised morphology, development, and

physiology. Thanks to the immense series of labors thus inaugurated,

the following fundamental truths have been established.

[Sidenote: Fundamental truths established.]

All living bodies contain substances of closely similar physical and

chemical composition, which constitute the physical basis of life,

known as protoplasm. So far as our present knowledge goes, this takes

its origin only from pre-existing protoplasm.

All complex living bodies consist, at one period of their existence,

of an aggregate of minute portions of such substance, of similar

structure, called cells, each cell having its own life independent of

the others, though influenced by them.

All the morphological characters of animals and plants are the results

of the mode of multiplication, growth, and structural metamorphosis of

these cells, considered as morphological units.

All the physiological activities of animals and plants--assimilation,

secretion, excretion, motion, generation--are the expression of the

activities of the cells considered as physiological units. Each

individual, among the higher animals and plants, is a synthesis of

millions of subordinate individualities. Its individuality, therefore,

is that of a 'civitas' in the ancient sense, or that of the Leviathan

of Hobbes.

There is no absolute line of demarcation between animals and plants.

The intimate structure, and the modes of change, in the cells of the

two are fundamentally the same. Moreover, the higher forms are

evolved from lower, in the course of their development, by analogous

processes of differentiation, coalescence, and reduction in both the

vegetable and the animal worlds.

At the present time, the cell theory, in consequence of recent

investigations into the structure and metamorphosis of the 'nucleus,'

is undergoing a new development of great significance, which, among

other things, foreshadows the possibility of the establishment of a

physical theory of heredity, on a safer foundation than those which

Buffon and Darwin have devised.

[Sidenote: Spontaneous generation disproved.]

The popular belief in abiogenesis, or the so-called 'spontaneous'

generation of the lower forms of life, which was accepted by all the

philosophers of antiquity, held its ground down to the middle of the

seventeenth century. Notwithstanding the frequent citation of the

phrase, wrongfully attributed to Harvey, 'Omne vivum ex ovo,' that

great physiologist believed in spontaneous generation as firmly as

Aristotle did. And it was only in the latter part of the seventeenth

century, that Redi, by simple and well-devised experiments,

demonstrated that, in a great number of cases of supposed spontaneous

generation, the animals which made their appearance owed their origin

to the ordinary process of reproduction, and thus shook the ancient

doctrine to its foundations. In the middle of the eighteenth century,

it was revived, in a new form, by Needham and Buffon; but the

experiments of Spallanzani enforced the conclusions of Redi, and

compelled the advocates of the occurrence of spontaneous generation to

seek evidence for their hypothesis only among the parasites and the

lowest and minutest organisms. It is just fifty years since Schwann

and others proved that, even with respect to them, the supposed

evidence of abiogenesis was untrustworthy.

During the present epoch, the question, whether living matter can be

produced in any other way than by the physiological activity of other

living matter, has been discussed afresh with great vigor; and the

problem has been investigated by experimental methods of a precision

and refinement unknown to previous investigators. The result is that

the evidence in favor of abiogenesis has utterly broken down, in every

case which has been properly tested. So far as the lowest and minutest

organisms are concerned, it has been proved that they never make their

appearance, if those precautions by which their germs are certainly

excluded are taken. And, in regard to parasites, every case which

seemed to make for their generation from the substance of the animal,

or plant, which they infest has been proved to have a totally

different significance. Whether not-living matter may pass, or ever

has, under any conditions, passed into living matter, without the

agency of pre-existing living matter, necessarily remains an open

question; all that can be said is that it does not undergo this

metamorphosis under any known conditions. Those who take a monistic

view of the physical world may fairly hold abiogenesis as a pious

opinion, supported by analogy and defended by our ignorance. But, as

matters stand, it is equally justifiable to regard the physical world

as a sort of dual monarchy. The kingdoms of living matter and of

not-living matter are under one system of laws, and there is a perfect

freedom of exchange and transit from one to the other. But no claim to

biological nationality is valid except birth.

[Sidenote: Morphology.]

In the department of anatomy and development, a host of accurate and

patient inquirers, aided by novel methods of preparation, which

enable the anatomist to exhaust the details of visible structure and

to reproduce them with geometrical precision, have investigated every

important group of living animals and plants, no less than the fossil

relics of former faunæ and floræ. An enormous addition has thus been

made to our knowledge, especially of the lower forms of life, and it

may be said that morphology, however inexhaustible in detail, is

complete in its broad features. Classification, which is merely a

convenient summary expression of morphological facts, has undergone a

corresponding improvement. The breaks which formerly separated our

groups from one another, as animals from plants, vertebrates from

invertebrates, cryptogams from phanerogams, have either been filled

up, or shown to have no theoretical significance. The question of the

position of man, as an animal, has given rise to much disputation,

with the result of proving that there is no anatomical or

developmental character by which he is more widely distinguished from

the group of animals most nearly allied to him, than they are from one

another. In fact, in this particular, the classification of Linnæus

has been proved to be more in accordance with the facts than those of

most of his successors.

[Sidenote: Anthropology.]

The study of man, as a genus and species of the animal world,

conducted with reference to no other considerations than those which

would be admitted by the investigator of any other form of animal

life, has given rise to a special branch of biology, known, as

Anthropology, which has grown with great rapidity. Numerous societies

devoted to this portion of science have sprung up, and the energy of

its devotees has produced a copious literature. The physical

characters of the various races of men have been studied with a

minuteness and accuracy heretofore unknown; and demonstrative

evidence of the existence of human contemporaries of the extinct

animals of the latest geological epoch has been obtained, physical

science has thus been brought into the closest relation with history

and with archæology; and the striking investigations which, during our

time, have put beyond doubt the vast antiquity of Babylonian and

Egyptian civilisation, are in perfect harmony with the conclusions of

anthropology as to the antiquity of the human species.

Classification is a logical process which consists in putting together

those things which are like and keeping asunder those which are

unlike; and a morphological classification, of course, takes notes

only of morphological likeness and unlikeness. So long, therefore, as

our morphological knowledge was almost wholly confined to anatomy, the

characters of groups were solely anatomical; but as the phenomena of

embryology were explored, the likeness and unlikeness of individual

development had to be taken into account; and, at present, the study

of ancestral evolution introduces a new element of likeness and

unlikeness which is not only eminently deserving of recognition, but

must ultimately predominate over all others. A classification which

shall represent the process of ancestral evolution is, in fact, the

end which the labors of the philosophical taxonomist must keep in

view. But it is an end which cannot be attained until the progress of

palæontology has given us far more insight than we yet possess, into

the historical facts of the case. Much of the speculative 'phylogeny,'

which abounds among my present contemporaries, reminds me very

forcibly of the speculative morphology, unchecked by a knowledge of

development, which was rife in my youth. As hypothesis, suggesting

inquiry in this or that direction, it is often extremely useful; but,

when the product of such speculation is placed on a level with those

generalisations of morphological truths which are represented by the

definitions of natural groups, it tends to confuse fancy with fact and

to create mere confusion. We are in danger of drifting into a new

'Natur-Philosophie' worse than the old, because there is less excuse

for it. Boyle did great service to science by his 'Sceptical Chemist,'

and I am inclined to think that, at the present day, a 'Sceptical

Biologist' might exert an equally beneficent influence.

[Sidenote: Physiology.]

Whoso wishes to gain a clear conception of the progress of physiology,

since 1837, will do well to compare Müller's 'Physiology,' which

appeared in 1835, and Drapiez's edition of Richard's 'Nouveaux

Eléments de Botanique,' published in 1837, with any of the present

handbooks of animals and vegetable physiology. Müller's work was a

masterpiece, unsurpassed since the time of Haller, and Richard's book

enjoyed a great reputation at the time; but their successors transport

one into a new world. That which characterises the new physiology is

that it is permeated by, and indeed based upon, conceptions which,

though not wholly absent, are but dawning on the minds of the older

writers.

Modern physiology sets forth as its chief ends: Firstly, the

ascertainment of the facts and conditions of cell-life in general.

Secondly, in composite organisms, the analysis of the functions of

organs into those of the cells of which they are composed. Thirdly,

the explication of the processes by which this local cell-life is

directly, or indirectly, controlled and brought into relation with the

life of the rest of the cells which compose the organism. Fourthly,

the investigation of the phenomena of life in general, on the

assumption that the physical and chemical processes which take place

in the living body are of the same order as those which take place out

of it; and that whatever energy is exerted in producing such phenomena

is derived from the common stock of energy in the universe. In the

fifth place, modern physiology investigates the relation between

physical and psychical phenomena, on the assumption that molecular

changes in definite portions of nervous matter stand in the relation

of necessary antecedents to definite mental states and operations. The

work which has been done in each of the directions here indicated is

vast, and the accumulation of solid knowledge, which has been

effected, is correspondingly great. For the first time in the history

of science, physiologists are now in the position to say that they

have arrived at clear and distinct, though by no means complete,

conceptions of the manner in which the great functions of

assimilation, respiration, secretion, distribution of nutriment,

removal of waste products, motion, sensation, and reproduction are

performed; while the operation of the nervous system, as a regulative

apparatus, which influences the origination and the transmission of

manifestations of activity, either within itself or in other organs,

has been largely elucidated.

[Sidenote: Practical value of physiological discovery.]

I have pointed out, in an earlier part of this chapter, that the

history of all branches of science proves that they must attain a

considerable stage of development before they yield practical

'fruits;' and this is eminently true of physiology. It is only within

the present epoch, that physiology and chemistry have reached the

point at which they could offer a scientific foundation to

agriculture; and it is only within the present epoch, that zoology and

physiology have yielded any very great aid to pathology and hygiene.

But within that time, they have already rendered highly important

services by the exploration of the phenomena of parasitism. Not only

have the history of the animal parasites, such as the tapeworms and

the trichina, which infest men and animals, with deadly results, been

cleared up by means of experimental investigations, and efficient

modes of prevention deduced from the data so obtained; but the

terrible agency of the parasitic fungi and of the infinitesimally

minute microbes, which work far greater havoc among plants and

animals, has been brought to light. The 'particulate' or 'germ' theory

of disease, as it is called, long since suggested, has obtained a firm

foundation, in so far as it has been proved to be true in respect of

sundry epidemic disorders. Moreover, it has theoretically justified

prophylactic measures, such as vaccination, which formerly rested on a

merely empirical basis; and it has been extended to other diseases

with excellent results. Further, just as the discovery of the cause of

scabies proved the absurdity of many of the old prescriptions for the

prevention and treatment of that disease; so the discovery of the

cause of splenic fever, and other such maladies, has given a new

direction to prophylactic and curative measures against the worst

scourges of humanity. Unless the fanaticism of philozoic sentiment

overpowers the voice of philanthropy, and the love of dogs and cats

supersedes that of one's neighbor, the progress of experimental

physiology and pathology will, indubitably, in course of time, place

medicine and hygiene upon a rational basis. Two centuries ago England

was devastated by the plague; cleanliness and common sense were enough

to free us from its ravages. One century since, small-pox was almost

as great a scourge; science, though working empirically, and almost in

the dark, has reduced that evil to relative insignificance. At the

present time, science, working in the light of clear knowledge, has

attacked splenic fever and has beaten it; it is attacking hydrophobia

with no mean promise of success; sooner or later it will deal, in the

same way, with diphtheria, typhoid and scarlet fever. To one who has

seen half a street swept clear of its children, or has lost his own by

these horrible pestilences, passing one's offspring through the fire

to Moloch seems humanity, compared with the proposal to deprive them

of half their chances of health and life because of the discomfort to

dogs and cats, rabbits and frogs, which may be involved in the search

for means of guarding them.

[Sidenote: Scientific exploration.]

An immense extension has been effected in our knowledge of the

distribution of plants and animals; and the elucidation of the causes

which have brought about that distribution has been greatly advanced.

The establishment of meteorological observations by all civilised

nations, has furnished a solid foundation to climatology; while a

growing sense of the importance of the influence of the 'struggle for

existence' affords a wholesome check to the tendency to overrate the

influence of climate on distribution. Expeditions, such as that of the

Challenger,' equipped, not for geographical exploration and discovery,

but for the purpose of throwing light on problems of physical and

biological science, have been sent out by our own and other

Governments, and have obtained stores of information of the greatest

value. For the first time, we are in possession of something like

precise knowledge of the physical features of the deep seas, and of

the living population of the floor of the ocean. The careful and

exhaustive study of the phenomena presented by the accumulations of

snow and ice, in polar and mountainous regions, which has taken place

in our time, has not only revealed to the geologist an agent of

denudation and transport, which has slowly and quietly produced

effects, formerly confidently referred to diluvial catastrophes, but

it has suggested new methods of accounting for various puzzling facts

of distribution.

[Sidenote: Palæontology.]

Palæontology, which treats of the extinct forms of life and their

succession and distribution upon our globe, a branch of science which

could hardly be said to exist a century ago, has undergone a wonderful

development in our epoch. In some groups of animals and plants, the

extinct representatives, already known, are more numerous and

important than the living. There can be no doubt that the existing

Fauna and Flora is but the last term of a long series of equally

numerous contemporary species, which have succeeded one another, by

the slow and gradual substitution of species for species, in the vast

interval of time which has elapsed between the deposition of the

earliest fossiliferous strata and the present day. There is no

reasonable ground for believing that the oldest remains yet obtained

carry us even near the beginnings of life. The impressive warnings of

Lyell against hasty speculations, based upon negative evidence, have

been fully justified; time after time, highly organised types have

been discovered in formations of an age in which the existence of such

forms of life had been confidently declared to be impossible. The

western territories of the United States alone have yielded a world of

extinct animal forms, undreamed of fifty years ago. And, wherever

sufficiently numerous series of the remains of any given group, which

has endured for a long space of time, are carefully examined, their

morphological relations are never in discordance with the requirements

of the doctrine of evolution, and often afford convincing evidence of

it. At the same time, it has been shown that certain forms persist

with very little change, from the oldest to the newest fossiliferous

formations; and thus show that progressive development is a

contingent, and not a necessary result, of the nature of living

matter.

[Sidenote: Geology.]

Geology is, as it were, the biology of our planet as a whole. In so

far as it comprises the surface configuration and the inner structure

of the earth, it answers to morphology; in so far as it studies

changes of condition and their causes, it corresponds with physiology;

in so far as it deals with the causes which have effected the progress

of the earth from its earliest to its present state, it forms part of

the general doctrine of evolution. An interesting contrast between the

geology of the present day and that of half a century ago, is

presented by the complete emancipation of the modern geologist from

the controlling and perverting influence of theology, all-powerful at

the earlier date. As the geologist of my young days wrote, he had one

eye upon fact, and the other on Genesis; at present, he wisely keeps

both eyes on fact, and ignores the pentateuchal mythology altogether.

The publication of the 'Principles of Geology' brought upon its

illustrious author a period of social ostracism; the instruction given

to our children is based upon those principles. Whewell had the

courage to attack Lyell's fundamental assumption (which surely is a

dictate of common sense) that we ought to exhaust known causes before

seeking for the explanation of geological phenomena in causes of which

we have no experience. But geology has advanced to its present state

by working from Lyell's[J] axiom; and, to this day, the record of the

stratified rocks affords no proof that the intensity or the rapidity

of the causes of change has ever varied, between wider limits, than

those between which the operations of nature have taken place in the

youngest geological epochs.

An incalculable benefit has accrued to geological science from the

accurate and detailed surveys, which have now been executed by skilled

geologists employed by the Governments of all parts of the civilised

world. In geology, the study of large maps is as important as it is

said to be in politics; and sections, on a true scale, are even more

important, in so far as they are essential to the apprehension of the

extraordinary insignificance of geological perturbations in relation

to the whole mass of our planet. It should never be forgotten that

what we call 'catastrophes,' are, in relation to the earth, changes,

the equivalents of which would be well represented by the development

of a few pimples, or the scratch of a pin, on a man's head. Vast

regions of the earth's surface remain geologically unknown; but the

area already fairly explored is many times greater than it was in

1837; and, in many parts of Europe and the United States, the

structure of the superficial crust of the earth has been investigated

with great minuteness.

The parallel between Biology and Geology, which I have drawn, is

further illustrated by the modern growth of that branch of the science

known as Petrology, which answers to Histology, and has made the

microscope as essential an instrument to the geological as to the

biological investigator.

The evidence of the importance of causes now in operation has been

wonderfully enlarged by the study of glacial phenomena; by that of

earthquakes and volcanoes; and by that of the efficacy of heat and

cold, wind, rain, and rivers as agents of denudation and transport. On

the other hand, the exploration of coral reefs and of the deposits now

taking place at the bottom of the great oceans, has proved that, in

animal and plant life, we have agents of reconstruction of a potency

hitherto unsuspected.

There is no study better fitted than that of geology to impress upon

men of general culture that conviction of the unbroken sequence of the

order of natural phenomena, throughout the duration of the universe,

which is the great, and perhaps the most important, effect of the

increase of natural knowledge.

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