THE ADVANCE OF SCIENCE IN THE LAST HALF-CENTURY

[Sidenote: Recent industrial progress]

The most obvious and the most distinctive features of the History of

Civilisation, during the last fifty years, is the wonderful increase

of industrial production by the application of machinery, the

improvement of old technical processes and the invention of new ones,

accompanied by an even more remarkable development of old and new

means of locomotion and intercommunication. By this rapid and vast

multiplication of the commodities and conveniences of existence, the

general standard of comfort has been raised, the ravages of pestilence

and famine have been checked, and the natural obstacles, which time

and space offer to mutual intercourse, have been reduced in a manner,

and to an extent, unknown to former ages. The diminution or removal of

local ignorance and prejudice, the creation of common interests among

the most widely separated peoples, and the strengthening of the forces

of the organisation of the commonwealth against those of political or

social anarchy, thus effected, have exerted an influence on the

present and future fortunes of mankind the full significance of which

may be divined, but cannot, as yet, be estimated at its full value.

[Sidenote: caused by the increase of physical science]

This revolution--for it is nothing less--in the political and social

aspects of modern civilisation has been preceded, accompanied, and in

great measure caused, by a less obvious, but no less marvellous,

increase of natural knowledge, and especially of that part of it which

is known as Physical Science, in consequence of the application of

scientific method to the investigation of the phenomena of the

material world. Not that the growth of physical science is an

exclusive prerogative of the Victorian age. Its present strength and

volume merely indicate the highest level of a stream which took its

rise, alongside of the primal founts of Philosophy, Literature, and

Art, in ancient Greece; and, after being dammed up for a thousand

years, once more began to flow three centuries ago.

[Sidenote: Greek and mediæval science.]

It may be doubted if even-handed justice, as free from fulsome

panegyric as from captious depreciation, has ever yet been dealt out

to the sages of antiquity who, for eight centuries, from the time of

Thales to that of Galen, toiled at the foundations of physical

science. But, without entering into the discussion of that large

question, it is certain that the labors of these early workers in the

field of natural knowledge were brought to a standstill by the decay

and disruption of the Roman Empire, the consequent disorganisation of

society, and the diversion of men's thoughts from sublunary matters to

the problems of the supernatural world suggested by Christian dogma in

the Middle Ages. And, notwithstanding sporadic attempts to recall men

to the investigation of nature, here and there, it was not until the

fifteenth and sixteenth centuries that physical science made a new

start, founding itself, at first, altogether upon that which had been

done by the Greeks. Indeed, it must be admitted that the men of the

Renaissance, though standing on the shoulders of the old philosophers,

were a long time before they saw as much as their forerunners had

done.

The first serious attempts to carry further the unfinished work of

Archimedes, Hipparchus, and Ptolemy, of Aristotle and of Galen,

naturally enough arose among the astronomers and the physicians. For

the imperious necessity of seeking some remedy for the physical ills

of life had insured the preservation of more or less of the wisdom of

Hippocrates and his successors, and, by a happy conjunction of

circumstances, the Jewish and the Arabian physicians and philosophers

escaped many of the influences which, at that time, blighted natural

knowledge in the Christian world. On the other hand, the superstitious

hopes and fears which afforded countenance to astrology and to alchemy

also sheltered astronomy and the germs of chemistry. Whether for this,

or for some better reason, the founders of the schools of the Middle

Ages included astronomy, along with geometry, arithmetic, and music,

as one of the four branches of advanced education; and, in this

respect, it is only just to them to observe that they were far in

advance of those who sit in their seats. The school men considered no

one to be properly educated unless he were acquainted with, at any

rate, one branch of physical science. We have not, even yet, reached

that stage of enlightenment.

[Sidenote: Further advance after Renaissance.]

In the early decades of the seventeenth century, the men of the

Renaissance could show that they had already put out to good interest

the treasure bequeathed to them by the Greeks. They had produced the

astronomical system of Copernicus, with Kepler's great additions; the

astronomical discoveries and the physical investigations of Galileo;

the mechanics of Stevinus and the 'De Magnete' of Gilbert; the anatomy

of the great French and Italian schools and the physiology of Harvey.

In Italy, which had succeeded Greece in the hegemony of the scientific

world, the Accademia dei Lyncei and sundry other such associations for

the investigation of nature, the models of all subsequent academies

and scientific societies, had been founded, while the literary skill

and biting wit of Galileo had made the great scientific questions of

the day not only intelligible, but attractive, to the general public.

[Sidenote: Francis Bacon.]

In our own country, Francis Bacon, had essayed to sum up the past of

physical science, and to indicate the path which it must follow if its

great destinies were to be fulfilled. And though the attempt was just

such a magnificent failure as might have been expected from a man of

great endowments, who was so singularly devoid of scientific insight

that he could not understand the value of the work already achieved by

the true instaurators of physical science; yet the majestic eloquence

and the fervid vaticinations of one who was conspicuous alike by the

greatness of his rise and the depth of his fall, drew the attention of

all the world to the 'new birth of Time.'

[Sidenote: The defect of his method.]

But it is not easy to discover satisfactory evidence that the 'Novum

Organum' had any direct beneficial influence on the advancement of

natural knowledge. No delusion is greater than the notion that method

and industry can make up for lack of motherwit, either in science or

in practical life; and it is strange that, with his knowledge of

mankind, Bacon should have dreamed that his, or any other, 'via

inveniendi scientias' would 'level men's wits' and leave little scope

for that inborn capacity which is called genius. As a matter of fact,

Bacon's 'via' has proved hopelessly impracticable; while the

'anticipation of nature' by the invention of hypotheses based on

incomplete inductions, which he specially condemns, has proved itself

to be a most efficient, indeed an indispensable, instrument of

scientific progress. Finally, that transcendental alchemy--the

superinducement of new forms on matter--which Bacon declares to be the

supreme aim of science, has been wholly ignored by those who have

created the physical knowledge of the present day.

Even the eloquent advocacy of the Chancellor brought no unmixed good

to physical science. It was natural enough that the man who, in his

better moments, took 'all knowledge for his patrimony,' but, in his

worse, sold that birthright for the mess of pottage of Court favor and

professional success, for pomp and show, should be led to attach an

undue value to the practical advantages which he foresaw, as Roger

Bacon and, indeed, Seneca had foreseen, long before his time, must

follow in the train of the advancement of natural knowledge. The

burden of Bacon's pleadings for science is the gathering of

fruit'--the importance of winning solid material advantages by the

investigation of Nature and the desirableness of limiting the

application of scientific methods of inquiry to that field.

[Sidenote: Hobbes.]

[Sidenote: Descartes.]

Bacon's younger contemporary, Hobbes, casting aside the prudent

reserve of his predecessor in regard to those matters about which the

Crown or the Church might have something to say, extended scientific

methods of inquiry to the phenomena of mind and the problems of social

organisation; while, at the same time, he indicated the boundary

between the province of real, and that of imaginary, knowledge. The

'Principles of Philosophy' and the 'Leviathan' embody a coherent

system of purely scientific thought in language which is a model of

clear and vigorous English style. At the same time, in France, a man

of far greater scientific capacity than either Bacon or Hobbes, René

Descartes, not only in his immortal 'Discours de la Méthode' and

elsewhere, went down to the foundations of scientific certainty, but,

in his 'Principes de Philosophie,' indicated where the goal of

physical science really lay. However, Descartes was an eminent

mathematician, and it would seem that the bent of his mind led him to

overestimate the value of deductive reasoning from general principles,

as much as Bacon had underestimated it. The progress of physical

science has been effected neither by Baconians nor by Cartesians, as

such, but by men like Galileo and Harvey, Boyle and Newton, who would

have done their work just as well if neither Bacon nor Descartes had

ever propounded their views respecting the manner in which scientific

investigation should be pursued.

[Sidenote: For a time the progress without fruits.]

The progress of science, during the first century after Bacon's death,

by means verified his sanguine prediction of the fruits which it would

yield. For, though the revived and renewed study of nature had spread

and grown to an extent which surpassed reasonable expectation, the

practical results--the 'good to men's estate'--were, at first, by no

means apparent. Sixty years after Bacon's death, Newton had crowned

the long labors of the astronomers and the physicists, by coordinating

the phenomena of solar motion throughout the visible universe into one

vast system; but the 'Principia' helped no man to either wealth or

comfort. Descartes, Newton, and Leibnitz had opened up new worlds to

the mathematician, but the acquisitions of their genius enriched only

man's ideal estate. Descartes had laid the foundations of rational

cosmogony and of physiological psychology; Boyle had produced models

of experimentation in various branches of physics and chemistry;

Pascal and Torricelli had weighed the air; Malpighi and Grew, Ray and

Willoughby had done work of no less importance in the biological

sciences; but weaving and spinning were carried on with the old

appliances; nobody could travel faster by sea or by land than at any

previous time in the world's history, and King George could send a

message from London to York no faster than King John might have done.

Metals were worked from their ores by immemorial rule of thumb, and

the centre of the iron trade of these islands was still among the oak

forests of Sussex. The utmost skill of our mechanicians did not get

beyond the production of a coarse watch.

The middle of the eighteenth century is illustrated by a host of great

names in science--English, French, German, and Italian--especially in

the fields of chemistry, geology, and biology; but this deepening and

broadening of natural knowledge produced next to no immediate

practical benefits. Even if, at this time, Francis Bacon could have

returned to the scene of his greatness and of his littleness, he must

have regarded the philosophic world which praised and disregarded his

precepts with great disfavor. If ghosts are consistent, he would have

said, 'These people are all wasting their time, just as Gilbert and

Kepler and Galileo and my worthy physician Harvey did in my day. Where

are the fruits of the restoration of science which I promised? This

accumulation of bare knowledge is all very well, but _cui bono_? Not

one of these people is doing what I told him specially to do, and

seeking that secret of the cause of forms which will enable men to

deal, at will, with matter, and superinduce new natures upon the old

foundations.'

[Sidenote: Its recent effect on life.]

But, a little later, that growth of knowledge beyond imaginable

utilitarian ends, which is the condition precedent of its practical

utility, began to produce some effect upon practical life; and the

operation of that part of nature we call human upon the rest began to

create, not 'new natures,' in Bacon's sense, but a new Nature, the

existence of which is dependent upon men's efforts, which is

subservient to their wants, and which would disappear if man's

shaping and guiding hand were withdrawn. Every mechanical artifice,

every chemically pure substance employed in manufacture, every

abnormally fertile race of plants, or rapidly growing and fattening

breed of animals, is a part of the new Nature created by science.

Without it, the most densely populated regions of modern Europe and

America must retain their primitive, sparsely inhabited, agricultural

or pastoral condition; it is the foundation of our wealth and the

condition of our safety from submergence by another flood of barbarous

hordes; it is the bond which unites into a solid political whole,

regions larger than any empire of antiquity; it secures us from the

recurrence of the pestilences and famines of former times; it is the

source of endless comforts and conveniences, which are not mere

luxuries, but conduce to physical and moral well-being. During the

last fifty years, this new birth of time, this new Nature begotten by

science upon fact, has pressed itself daily and hourly upon our

attention, and has worked miracles which have modified the whole

fashion of our lives.

[Sidenote: These results often too much regarded;]

What wonder, then, if these astonishing fruits of the tree of

knowledge are too often regarded by both friends and enemies as the

be-all and end-all of science? What wonder if some eulogise, and

others revile, the new philosophy for its utilitarian ends and its

merely material triumphs?

[Sidenote: for scientific research rarely directed to practical ends]

In truth, the new philosophy deserves neither the praise of its

eulogists, nor the blame of its slanderers. As I have pointed out, its

disciples were guided by no search after practical fruits, during the

great period of its growth, and it reached adolescence without being

stimulated by any rewards of that nature. The bare enumeration of the

names of the men who were the great lights of science in the latter

part of the eighteenth and the first decade of the nineteenth

century, of Herschel, of Laplace, of Young, of Fresnel, of Oersted, of

Cavendish, of Lavoisier, of Davy, of Lamarck, of Cuvier, of Jussieu,

of Decandolle, of Werner and of Hutton, suffices to indicate the

strength of physical science in the age immediately preceding that of

which I have to treat. But of which of these great men can it be said

that their labors were directed to practical ends? I do not call to

mind even an invention of practical utility which we owe to any of

them, except the safety lamp of Davy. Werner certainly paid attention

to mining, and I have not forgotten James Watt. But, though some of

the most important of the improvements by which Watt converted the

steam-engine, invented long before his time, into the obedient slave

of man, were suggested and guided by his acquaintance with scientific

principles, his skill as a practical mechanician, and the efficiency

of Bolton's workmen had quite as much to do with the realisation of

his projects.

[Sidenote: but instigated by love of knowledge]

In fact, the history of physical science teaches (and we cannot too

carefully take the lesson to heart) that the practical advantages,

attainable through its agency, never have been, and never will be,

sufficiently attractive to men inspired by the inborn genius of the

interpreter of nature, to give them courage to undergo the toils and

make the sacrifices which that calling requires from its votaries.

That which stirs their pulses is the love of knowledge and the joy of

the discovery of the causes of things sung by the old poets--the

supreme delight of extending the realm of law and order ever farther

towards the unattainable goals of the infinitely great and the

infinitely small, between which our little race of life is run. In the

course of this work, the physical philosopher, sometimes

intentionally, much more often unintentionally, lights upon something

which proves to be of practical value. Great is the rejoicing of those

who are benefited thereby; and, for the moment, science is the Diana

of all the craftsmen. But, even while the cries of jubilation resound

and this floatsam and jetsam of the tide of investigation is being

turned into the wages of workmen and the wealth of capitalists, the

crest of the wave of scientific investigation is far away on its

course over the illimitable ocean of the unknown.

[Sidenote: It is in its turn assisted by industrial improvements.]

Far be it from me to depreciate the value of the gifts of science to

practical life, or to cast a doubt upon the propriety of the course of

action of those who follow science in the hope of finding wealth

alongside truth, or even wealth alone. Such a profession is as

respectable as any other. And quite as little do I desire to ignore

the fact that, if industry owes a heavy debt to science, it has

largely repaid the loan by the important aid which it has, in its

turn, rendered to the advancement of science. In considering the

causes which hindered the progress of physical knowledge in the

schools of Athens and of Alexandria, it has often struck me[A] that

where the Greeks did wonders was in just those branches of science,

such as geometry, astronomy, and anatomy, which are susceptible of

very considerable development without any, or any but the simplest,

appliances. It is a curious speculation to think what would have

become of modern physical science if glass and alcohol had not been

easily obtainable; and if the gradual perfection of mechanical skill

for industrial ends had not enabled investigators to obtain, at

comparatively little cost, microscopes, telescopes, and all the

exquisitely delicate apparatus for determining weight and measure and

for estimating the lapse of time with exactness, which they now

command. If science has rendered the colossal development of modern

industry possible, beyond a doubt industry has done no less for modern

physics and chemistry, and for a great deal of modern biology. And as

the captains of industry have, at last, begun to be aware that the

condition of success in that warfare, under the forms of peace, which

is known as industrial competition lies in the discipline of the

troops and the use of arms of precision, just as much as it does in

the warfare which is called war, their demand for that discipline,

which is technical education, is reacting upon science in a manner

which will, assuredly, stimulate its future growth to an incalculable

extent. It has become obvious that the interests of science and of

industry are identical, that science cannot make a step forward

without, sooner or later, opening up new channels for industry, and,

on the other hand, that every advance of industry facilitates those

experimental investigations, upon which the growth of science depends.

We may hope that, at last, the weary misunderstanding between the

practical men who professed to despise science, and the high and dry

philosophers who professed to despise practical results, is at an end.

Nevertheless, that which is true of the infancy of physical science in

the Greek world, that which is true of its adolescence in the

seventeenth and eighteenth centuries, remains true of its riper age in

these latter days of the nineteenth century. The great steps in its

progress have been made, are made, and will be made, by men who seek

knowledge simply because they crave for it. They have their

weaknesses, their follies, their vanities, and their rivalries, like

the rest of the world; but whatever by-ends may mar their dignity and

impede their usefulness, this chief end redeems them.[B] Nothing great

in science has ever been done by men, whatever their powers, in whom

the divine afflatus of the truth-seeker was wanting. Men of moderate

capacity have done great things because it animated them; and men of

great natural gifts have failed, absolutely or relatively, because

they lacked this one thing needful.

[Sidenote: True aim and method of research.]

To anyone who knows the business of investigation practically, Bacon's

notion of establishing a company of investigators to work for

'fruits,' as if the pursuit of knowledge were a kind of mining

operation and only required well-directed picks and shovels, seems

very strange.[C] In science, as in art, and, as I believe, in every

other sphere of human activity, there may be wisdom in a multitude of

counsellors, but it is only in one or two of them. And, in scientific

inquiry, at any rate, it is to that one or two that we must look for

light and guidance. Newton said that he made his discoveries by

'intending' his mind on the subject; no doubt truly. But to equal his

success one must have the mind which he 'intended.' Forty lesser men

might have intended their minds till they cracked, without any like

result. It would be idle either to affirm or to deny that the last

half-century has produced men of science of the calibre of Newton. It

is sufficient that it can show a few capacities of the first rank,

competent not only to deal profitably with the inheritance bequeathed

by their scientific forefathers, but to pass on to their successors

physical truths of a higher order than any yet reached by the human

race. And if they have succeeded as Newton succeeded, it is because

they have sought truth as he sought it, with no other object than the

finding it.

* * * * *

[Sidenote: Progress from 1837 to 1887.]

I am conscious that in undertaking to progress give even the briefest

sketch of the progress of physical science, in all its branches,

during the last half-century, I may be thought to have exhibited more

courage than discretion, and perhaps more presumption than either. So

far as physical science is concerned, the days of Admirable Crichtons

have long been over, and the most indefatigable of hard workers may

think he has done well if he has mastered one of its minor

subdivisions. Nevertheless, it is possible for anyone, who has

familiarised himself with the operations of science in one department,

to comprehend the significance, and even to form a general estimate of

the value, of the achievements of specialists in other departments.

Nor is their any lack either of guidance, or of aids to ignorance. By

a happy chance, the first edition of Whewell's 'History of the

Inductive Sciences' was published in 1837, and it affords a very

useful view of the state of things at the commencement of the

Victorian epoch. As to subsequent events, there are numerous

excellent summaries of the progress of various branches of science,

especially up to 1881, which was the jubilee year of the British

Association.[D] And, with respect to the biological sciences, with

some parts of which my studies have familiarised me, my personal

experience nearly coincides with the preceding half-century. I may

hope, therefore, that my chance of escaping serious errors is as good

as that of anyone else, who might have been persuaded to undertake the

somewhat perilous enterprise in which I find myself engaged.

There is yet another prefatory remark which it seems desirable I

should make. It is that I think it proper to confine myself to the

work done, without saying anything about the doers of it. Meddling

with questions of merit and priority is a thorny business at the best

of times, and unless in case of necessity, altogether undesirable when

one is dealing with contemporaries. No such necessity lies upon me,

and I shall, therefore, mention no names of living men, lest,

perchance, I should incur the reproof which the Israelites, who

struggled with one another in the field, addressed to Moses--'Who made

thee a prince and a judge over us.'

[Sidenote: The aim of physical science]

Physical science is one and indivisible. Although, for practical

purposes, it is convenient to mark it out into the primary regions of

Physics, Chemistry, and Biology, and to subdivide these into

subordinate provinces, yet the method of investigation and the

ultimate object of the physical inquirer are everywhere the same.

[Sidenote: the discovery of the rational order of the universe]

The object is the discovery of the rational order which pervades the

universe, the method consists of observation and experiment (which is

observation under artificial conditions) for the determination of the

facts of nature, of inductive and deductive reasoning for the

discovery of their mutual relations and connection. The various

branches of physical science differ in the extent to which at any

given moment of their history, observation on the one hand, or

ratiocination on the other, is their more obvious feature, but in no

other way, and nothing can be more incorrect than the assumption one

sometimes meets with, that physics has one method, chemistry another,

and biology a third.

[Sidenote: It is based on postulates]

All physical science starts from certain postulates. One of them is

the objective existence of a material world. It is assumed that the

phenomena which are comprehended under this name have a 'substratum'

of extended, impenetrable, mobile substance, which exhibits the

quality known as inertia, and is termed matter.[E] Another postulate

is the universality of the law of causation; that nothing happens

without a cause (that is, a necessary precedent condition), and that

the state of the physical universe, at any given moment, is the

consequence of its state at any preceding moment. Another is that any

of the rules, or so-called 'laws of nature,' by which the relation of

phenomena is truly defined, is true for all time. The validity of

these postulates is a problem of metaphysics; they are neither

self-evident nor are they, strictly speaking, demonstrable. The

justification of their employment, as axioms of physical philosophy,

lies in the circumstance that expectations logically based upon them

are verified, or, at any rate, not contradicted, whenever they can be

tested by experience.

[Sidenote: and uses hypotheses.]

Physical science therefore rests on verified or uncontradicted

hypotheses; and, such being the case, it is not surprising that a

great condition of its progress has been the invention of verifiable

hypotheses. It is a favorite popular delusion that the scientific

inquirer is under a sort of moral obligation to abstain from going

beyond that generalisation of observed facts which is absurdly called

'Baconian' induction. But anyone who is practically acquainted with

scientific work is aware that those who refuse to go beyond fact,

rarely get as far as fact; and anyone who has studied the history of

science knows that almost every great step therein has been made by

the 'anticipation of Nature,' that is, by the invention of hypotheses,

which, though verifiable, often had very little foundation to start

with; and, not unfrequently, in spite of a long career of usefulness,

turned out to be wholly erroneous in the long run.

[Sidenote: Fruitful use of an hypothesis even when wrong.]

The geocentric system of astronomy, with its eccentrics and its

epicycles, was an hypothesis utterly at variance with fact, which

nevertheless did great things for the advancement of astronomical

knowledge. Kepler was the wildest of guessers. Newton's corpuscular

theory of light was of much temporary use in optics, though nobody now

believes in it; and the undulatory theory, which has superseded the

corpuscular theory and has proved one of the most fertile of

instruments of research, is based on the hypothesis of the existence

of an 'ether,' the properties of which are defined in propositions,

some of which, to ordinary apprehension, seem physical antinomies.

It sounds paradoxical to say that the attainment of scientific truth

has been effected, to a great extent, by the help of scientific

errors. But the subject-matter of physical science is furnished by

observation, which cannot extend beyond the limits of our faculties;

while, even within those limits, we cannot be certain that any

observation is absolutely exact and exhaustive. Hence it follows that

any given generalisation from observation may be true, within the

limits of our powers of observation at a given time, and yet turn out

to be untrue, when those powers of observation are directly or

indirectly enlarged. Or, to put the matter in another way, a doctrine

which is untrue absolutely, may, to a very great extent, be

susceptible of an interpretation in accordance with the truth. At a

certain period in the history of astronomical science, the assumption

that the planets move in circles was true enough to serve the purpose

of correlating such observations as were then possible; after Kepler,

the assumption that they move in ellipses became true enough in regard

to the state of observational astronomy at that time. We say still

that the orbits of the planets are ellipses, because, for all ordinary

purposes, that is a sufficiently near approximation to the truth; but,

as a matter of fact, the centre of gravity of a planet describes

neither an ellipse or any other simple curve, but an immensely

complicated undulating line. It may fairly be doubted whether any

generalisation, or hypothesis, based upon physical data is absolutely

true, in the sense that a mathematical proposition is so; but, if its

errors can become apparent only outside the limits of practicable

observation, it may be just as usefully adopted for one of the symbols

of that algebra by which we interpret nature, as if it were absolutely

true.

The development of every branch of physical knowledge presents three

stages which, in their logical relation, are successive. The first is

the determination of the sensible character and order of the

phenomena. This is _Natural History_, in the original sense of the

term, and here nothing but observation and experiment avail us. The

second is the determination of the constant relations of the phenomena

thus defined, and their expression in rules or laws. The third is the

explication of these particular laws by deduction from the most

general laws of matter and motion. The last two stages constitute

_Natural Philosophy_ in its original sense. In this region, the

invention of verifiable hypotheses is not only permissible, but is one

of the conditions of progress.

[Sidenote: and mutual assistance of observation, experiment, and

speculation.]

Historically, no branch of science has followed this order of growth;

but, from the dawn of exact knowledge to the present day, observation,

experiment, and speculation have gone hand in hand; and, whenever

science has halted or strayed from the right path, it has been, either

because its votaries have been content with mere unverified or

unverifiable speculation (and this is the commonest case, because

observation and experiment are hard work, while speculation is

amusing); or it has been, because the accumulation of details of

observation has for a time excluded speculation.

[Sidenote: Recognition of these truths in recent times, and consequent

progress.]

The progress of physical science, since the revival of learning, is

largely due to the fact that men have gradually learned to lay aside

the consideration of unverifiable hypotheses; to guide observation

and experiment by verifiable hypotheses; and to consider the latter,

not as ideal truths, the real entities of an intelligible world behind

phenomena, but as a symbolical language, by the aid of which nature

can be interpreted in terms apprehensible by our intellects. And if

physical science, during the last fifty years, has attained dimensions

beyond all former precedent, and can exhibit achievements of greater

importance than any former such period can show, it is because able

men, animated by the true scientific spirit, carefully trained in the

method of science, and having at their disposal immensely improved

appliances, have devoted themselves to the enlargement of the

boundaries of natural knowledge in greater number than during any

previous half-century of the world's history.

[Sidenote: The three great achievements. Doctrines of (1) molecular

constitution of matter, (2) conservation of energy, (3) evolution.]

I have said that our epoch can produce achievements in physical

science of greater moment than any other has to show, advisedly; and

I think that there are three great products of our time which justify

the assertion. One of these is that doctrine concerning the

constitution of matter which, for want of a better name, I will call

'molecular;' the second is the doctrine of conservation of energy; the

third is the doctrine of evolution. Each of these was foreshadowed,

more or less distinctly, in former periods of the history of science;

and, so far is either from being the outcome of purely inductive

reasoning, that it would be hard to overrate the influence of

metaphysical, and even of theological, considerations upon the

development of all three. The peculiar merit of our epoch is that it

has shown how these hypotheses connect a vast number of seemingly

independent partial generalisations; that it has given them that

precision of expression which is necessary for their exact

verification; and that it has practically proved their value as

guides to the discovery of new truth. All three doctrines are

intimately connected, and each is applicable to the whole physical

cosmos. But, as might have been expected from the nature of the case,

the first two grew, mainly, out of the consideration of

physico-chemical phenomena; while the third, in great measure, owes

its rehabilitation, if not its origin, to the study of biological

phenomena.

[Sidenote: (1) Molecular constitution of matter.]

In the early decades of this century, a number of important truths

applicable, in part, to matter in general, and, in part, to particular

forms of matter, had been ascertained by the physicists and chemists.

The laws of motion of visible and tangible, or _molar_, matter had

been worked out to a great degree of refinement and embodied in the

branches of science known as Mechanics, Hydrostatics, and Pneumatics.

These laws had been shown to hold good, so far as they could be

checked by observation and experiment, throughout the universe, on the

assumption that all such masses of matter possessed inertia and were

susceptible of acquiring motion, in two ways, firstly by impact, or

impulse from without; and, secondly, by the operation of certain

hypothetical causes of motion termed 'forces,' which were usually

supposed to be resident in the particles of the masses themselves, and

to operate at a distance, in such a way as to tend to draw any two

such masses together, or to separate them more widely.

[Sidenote: The two theories as to matter.]

With respect to the ultimate constitution of these masses, the same

two antagonistic opinions which had existed since the time of

Democritus and of Aristotle were still face to face. According to the

one, matter was discontinuous and consisted of minute indivisible

particles or atoms, separated by a universal vacuum; according to the

other, it was continuous, and the finest distinguishable, or

imaginable, particles were scattered through the attenuated general

substance of the plenum. A rough analogy to the latter case would be

afforded by granules of ice diffused through water; to the former,

such granules diffused through absolutely empty space.

[Sidenote: Reassertion by Dalton of atomic theory.]

In the latter part of the eighteenth century, the chemists had arrived

at several very important generalisations respecting those properties

of matter with which they were especially concerned. However plainly

ponderable matter seemed to be originated and destroyed in their

operations, they proved that, as mass or body, it remained

indestructible and ingenerable; and that, so far, it varied only in

its perceptibility by our senses. The course of investigation further

proved that a certain number of the chemically separable kinds of

matter were unalterable by any known means (except in so far as they

might be made to change their state from solid to fluid, or _vice

versâ_), unless they were brought into contact with other kinds of

matter, and that the properties of these several kinds of matter were

always the same, whatever their origin. All other bodies were found to

consist of two or more of these, which thus took the place of the four

'elements' of the ancient philosophers. Further, it was proved that,

in forming chemical compounds, bodies always unite in a definite

proportion by weight, or in simple multiples of that proportion, and

that, if any one body were taken as a standard, every other could have

a number assigned to it as its proportional combining weight. It was

on this foundation of fact that Dalton based his re-establishment of

the old atomic hypothesis on a new empirical foundation. It is

obvious, that if elementary matter consists of indestructible and

indivisible particles, each of which constantly preserves the same

weight relatively to all the others, compounds formed by the

aggregation of two, three, four, or more such particles must exemplify

the rule of combination in definite proportions deduced from

observation.

In the meanwhile, the gradual reception of the undulatory theory of

light necessitated the assumption of the existence of an 'ether'

filling all space. But whether this ether was to be regarded as a

strictly material and continuous substance was an undecided point, and

hence the revived atomism, escaped strangling in its birth. For it is

clear, that if the ether is admitted to be a continuous material

substance, Democritic atomism is at an end and Cartesian continuity

takes its place.

[Sidenote: The real value of hypothesis; it predicates the existence

of units of matter.]

The real value of the new atomic hypothesis, however, did not lie in

the two points which Democritus and his followers would have

considered essential--namely, the indivisibility of the 'atoms' and

the presence of an interatomic vacuum--but in the assumption that, to

the extent to which our means of analysis take us, material bodies

consist of definite minute masses, each of which, so far as physical

and chemical processes of division go, may be regarded as a

unit--having a practically permanent individuality. Just as a man is

the unit of sociology, without reference to the actual fact of his

divisibility, so such a minute mass is the unit of physico-chemical

science--that smallest material particle which under any given

circumstances acts as a whole.[F]

The doctrine of specific heat originated in the eighteenth century.

It means that the same mass of a body, under the same circumstances,

always requires the same quantity of heat to raise it to a given

temperature, but that equal masses of different bodies require

different quantities. Ultimately, it was found that the quantities of

heat required to raise equal masses of the more perfect gases, through

equal ranges of temperature, were inversely proportional to their

combining weights. Thus a definite relation was established between

the hypothetical units and heat. The phenomena of electrolytic

decomposition showed that there was a like close relation between

these units and electricity. The quantity of electricity generated by

the combination of any two units is sufficient to separate any other

two which are susceptible of such decomposition. The phenomena of

isomorphism showed a relation between the units and crystalline forms;

certain units are thus able to replace others in a crystalline body

without altering its form, and others are not.

Again, the laws of the effect of pressure and heat on gaseous bodies,

the fact that they combine in definite proportions by volume, and that

such proportion bears a simple relation to their combining weights,

all harmonised with the Daltonian hypothesis, and led to the bold

speculation known as the law of Avogadro--that all gaseous bodies,

under the same physical conditions, contain the same number of units.

In the form in which it was first enunciated, this hypothesis was

incorrect--perhaps it is not exactly true in any form; but it is

hardly too much to say that chemistry and molecular physics would

never have advanced to their present condition unless it had been

assumed to be true. Another immense service rendered by Dalton, as a

corollary of the new atomic doctrine, was the creation of a system of

symbolic notation, which not only made the nature of chemical

compounds and processes easily intelligible and easy of recollection,

but, by its very form, suggested new lines of inquiry. The atomic

notation was as serviceable to chemistry as the binomial nomenclature

and the classificatory schematism of Linnæus were to zoölogy and

botany.

[Sidenote: In biology a like theory of molecularstructure.]

Side by side with these advances arose in another, which also has a

close parallel in the history of biological science. If the unit of a

compound is made up by the aggregation of elementary units, the notion

that these must have some sort of definite arrangement inevitably

suggests itself; and such phenomena as double decomposition pointed,

not only to the existence of a molecular architecture, but to the

possibility of modifying a molecular fabric without destroying it, by

taking out some of the component units and replacing them by others.

The class of neutral salts, for example, includes a great number of

bodies in many ways similar, in which the basic molecules, or the acid

molecules, may be replaced by other basic and other acid molecules

without altering the neutrality of the salt; just as a cube of bricks

remains a cube, so long as any brick that is taken out is replaced by

another of the same shape and dimensions, whatever its weight or other

properties may be. Facts of this kind gave rise to the conception of

'types' of molecular structure, just as the recognition of the unity

in diversity of the structure of the species of plants and animals

gave rise to the notion of biological 'types.' The notation of

chemistry enabled these ideas to be represented with precision; and

they acquired an immense importance, when the improvement of methods

of analysis, which took place about the beginning of our period,

enabled the composition of the so-called 'organic' bodies to be

determined with, rapidity and precision.[G] A large proportion of

these compounds contain not more than three or four elements, of which

carbon is the chief; but their number is very great, and the diversity

of their physical and chemical properties is astonishing. The

ascertainment of the proportion of each element in these compounds

affords little or no help towards accounting for their diversities;

widely different bodies being often very similar, or even identical,

in that respect. And, in the last case, that of _isomeric_ compounds,

the appeal to diversity of arrangement of the identical component

units was the only obvious way out of the difficulty. Here, again,

hypothesis proved to be of great value; not only was the search for

evidence of diversity of molecular structure successful, but the study

of the process of taking to pieces led to the discovery of the way to

put together; and vast numbers of compounds, some of them previously

known only as products of the living economy, have thus been

artificially constructed. Chemical work, at the present day, is, to a

large extent, synthetic or creative--that is to say, the chemist

determines, theoretically, that certain non-existent compounds ought

to be producible, and he proceeds to produce them.

It is largely because the chemical theory and practice of our epoch

have passed into this deductive and synthetic stage, that they are

entitled to the name of the 'New Chemistry' which they commonly

receive. But this new chemistry has grown up by the help of

hypotheses, such as those of Dalton and of Avogadro, and that

singular conception of 'bonds' invented to colligate the facts of

'valency' or 'atomicity,' the first of which took some time to make

its way; while the second fell into oblivion, for many years after it

was propounded, for lack of empirical justification. As for the third,

it may be doubted if anyone regards it as more than a temporary

contrivance.

But some of these hypotheses have done yet further service. Combining

them with the mechanical theory of heat and the doctrine of the

conservation of energy, which are also products of our time,

physicists have arrived at an entirely new conception of the nature of

gaseous bodies and of the relation of the physico-chemical units of

matter to the different forms of energy. The conduct of gases under

varying pressure and temperature, their diffusibility, their relation

to radiant heat and to light, the evolution of heat when bodies

combine, the absorption of heat when they are dissociated, and a host

of other molecular phenomena, have been shown to be deducible from the

dynamical and statical principles which apply to molar motion and

rest; and the tendency of physico-chemical science is clearly towards

the reduction of the problems of the world of the infinitely little,

as it already has reduced those of the infinitely great world, to

questions of mechanics.[H]

In the meanwhile, the primitive atomic theory, which has served as the

scaffolding for the edifice of modern physics and chemistry, has been

quietly dismissed. I cannot discover that any contemporary physicist

or chemist believes in the real indivisibility of atoms, or in an

interatomic matterless vacuum. 'Atoms' appear to be used as mere

names for physico-chemical units which have not yet been subdivided,

and 'molecules' for physico-chemical units which are aggregates of the

former. And these individualised particles are supposed to move in an

endless ocean of a vastly more subtle matter--the ether. If this ether

is a continuous substance, therefore, we have got back from the

hypothesis of Dalton to that of Descartes. But there is much reason to

believe that science is going to make a still further journey, and, in

form, if not altogether in substance, to return to the point of view

of Aristotle.

[Sidenote: Elementary bodies]

The greater number of the so-called 'elementary' bodies, now known,

had been discovered before the commencement of our epoch; and it had

become apparent that they were by no means equally similar or

dissimilar, but that some of them, at any rate, constituted groups,

the several members of which were as much like one another as they

were unlike the rest. Chlorine, iodine, bromine, and fluorine thus

formed a very distinct group; sulphur and selenium another; boron and

silicon another; potassium, sodium, and lithium another; and so on. In

some cases, the atomic weights of such allied bodies were nearly the

same, or could be arranged in series, with like differences between

the several terms. In fact, the elements afforded indications that

they were susceptible of a classification in natural groups, such as

those into which animals and plants fall.

[Sidenote: fall into different series.]

Recently this subject has been taken up afresh, with a result which

may be stated roughly in the following terms: If the sixty-five or

sixty-eight recognised 'elements' are arranged in the order of their

atomic weights--from hydrogen, the lightest, as unity, to uranium, the

heaviest, as 240--the series does not exhibit one continuous

progressive modification in the physical and chemical characters of

its several terms, but breaks up into a number of sections, in each of

which the several terms present analogies with the corresponding terms

of the other series.

Thus the whole series does not run:

_a, b, d, e, f, g, h, i, k,_ &c.,

but

_a, b, c, d_, A, B, C, D, alpha, beta, gamma, delta, &c.;

so that it is said to express a _periodic law_ of recurrent

similarities. Or the relation may be expressed in another way. In each

section of the series, the atomic weight is greater than in the

preceding section, so that if _w_ is the atomic weight of any element

in the first segment, _w+x_ will represent the atomic weight of any

element in the next, and _w+x+y_ the atomic weight of any element in

the next, and so on. Therefore the sections may be represented as

parallel series, the corresponding terms of which have analogous

properties; each successive series starting with a body the atomic

weight of which is greater than that of any in the preceding series,

in the following fashion:

_d_ D delta

_c_ C gamma

_b_ B beta

_a_ A alpha

- ----- ---------

_w_ _w + x_ _w + x + y_

[Sidenote: The possibility of a primary form of matter.]

This is a conception with, which biologists are very familiar, animal

and plant groups constantly appearing as series of parallel

modifications of similar and yet different primary forms. In the

living world, facts of this kind are now understood to mean evolution

from a common prototype. It is difficult to imagine that in the

not-living world they are devoid of significance. Is it not possible,

nay probable that they may mean the evolution of our 'elements' from a

primary undifferentiated form of matter? Fifty years ago, such a

suggestion would have been scouted as a revival of the dreams of the

alchemists. At present, it may be said to be the burning question of

physico-chemical science.

In fact, the so-called 'vortex-ring' hypothesis is a very serious and

remarkable attempt to deal with material units from a point of view

which is consistent with the doctrine of evolution. It supposes the

ether to be a uniform substance, and that the 'elementary' units are,

broadly speaking, permanent whirlpools, or vortices, of this ether,

the properties of which depend on their actual and potential modes of

motion. It is curious and highly interesting to remark that this

hypothesis reminds us not only of the speculations of Descartes, but

of those of Aristotle. The resemblance of the 'vortex-rings' to the

'tourbillons' of Descartes is little more than nominal; but the

correspondence between the modern and the ancient notion of a

distinction between primary and derivative matter is, to a certain

extent, real. For this ethereal 'Urstoff' of the modern corresponds

very closely with the prhôtê hylê of Aristotle, the _materia prima_ of

his mediæval followers; while matter, differentiated into our

elements, is the equivalent of the first stage of progress towards the

heschhatê hylê, or finished matter, of the ancient philosophy.

If the material units of the existing order of nature are specialised

portions of a relatively homogeneous _materia prima_--which were

originated under conditions that have long ceased to exist and which

remain unchanged and unchangeable under all conditions, whether

natural or artificial, hitherto known to us--it follows that the

speculation that they may be indefinitely altered, or that new units

may be generated under conditions yet to be discovered, is perfectly

legitimate. Theoretically, at any rate, the transmutability of the

elements is a verifiable scientific hypothesis; and such inquiries as

those which have been set afoot, into the possible dissociative action

of the great heat of the sun upon our elements, are not only

legitimate, but are likely to yield results which, whether affirmative

or negative, will be of great importance. The idea that atoms are

absolutely ingenerable and immutable 'manufactured articles' stands on

the same sort of foundation as the idea that biological species are

'manufactured articles' stood thirty years ago; and the supposed

constancy of the elementary atoms, during the enormous lapse of time

measured by the existence of our universe, is of no more weight

against the possibility of change in them, in the infinity of

antecedent time, than the constancy of species in Egypt, since the

days of Rameses or Cheops, is evidence of their immutability during

all past epochs of the earth's history. It seems safe to prophesy

that the hypothesis of the evolution of the elements from a primitive

matter will, in future, play no less a part in the history of science

than the atomic hypothesis, which, to begin with, had no greater, if

so great, an empirical foundation.

[Sidenote: The old and the new atomic theory.]

It may perhaps occur to the reader that the boasted progress of

physical science does not come to much, if our present conceptions of

the fundamental nature of matter are expressible in terms employed,

more than two thousand years ago, by the old 'master of those that

know.' Such a criticism, however, would involve forgetfulness of the

fact, that the connotation of these terms, in the mind of the modern,

is almost infinitely different from that which they possessed in the

mind of the ancient, philosopher. In antiquity, they meant little more

than vague speculation; at the present day, they indicate definite

physical conceptions, susceptible of mathematical treatment, and

giving rise to innumerable deductions, the value of which can be

experimentally tested. The old notions produced little more than

floods of dialectics; the new are powerful aids towards the increase

of solid knowledge.

[Sidenote: (2) Conservation of energy.]

Everyday observation shows that, of the bodies which compose the

material world, some are in motion and some are, or appear to be, at

rest. Of the bodies in motion, some, like the sun and stars, exhibit a

constant movement, regular in amount and direction, for which no

external cause appears. Others, as stones and smoke, seem also to move

of themselves when external impediments are taken away. But these

appear to tend to move in opposite directions: the bodies we call

heavy, such as stones, downwards, and the bodies we call light, at

least such as smoke and steam, upwards. And, as we further notice

that the earth, below our feet, is made up of heavy matter, while the

air, above our heads, is extremely light matter, it is easy to regard

this fact as evidence that the lower region is the place to which

heavy things tend--their proper place, in short--while the upper

region is the proper place of light things; and to generalise the

facts observed by saying that bodies, which are free to move, tend

towards their proper places. All these seem to be natural motions,

dependent on the inherent faculties, or tendencies, of bodies

themselves. But there are other motions which are artificial or

violent, as when a stone is thrown from the hand, or is knocked by

another stone in motion. In such cases as these, for example, when a

stone is cast from the hand, the distance travelled by the stone

appears to depend partly on its weight and partly upon the exertion

of the thrower. So that, the weight of the stone remaining the same,

it looks as if the motive power communicated to it were measured by

the distance to which the stone travels--as if, in other words, the

power needed to send it a hundred yards was twice as great as that

needed to send it fifty yards. These, apparently obvious, conclusions

from the everyday appearances of rest and motion fairly represent the

state of opinion upon the subject which prevailed among the ancient

Greeks, and remained dominant until the age of Galileo. The

publication of the 'Principia' of Newton, in 1686-7, marks the epoch

at which the progress of mechanical physics had effected a complete

revolution of thought on these subjects. By this time, it had been

made clear that the old generalisations were either incomplete or

totally erroneous; that a body, once set in motion, will continue to

move in a straight line for any conceivable time or distance, unless

it is interfered with; that any change of motion is proportional to

the 'force' which causes it, and takes place in the direction in which

that 'force' is exerted; and that, when a body in motion acts as a

cause of motion on another, the latter gains as much as the former

loses, and _vice versâ_. It is to be noted, however, that while, in

contradistinction to the ancient idea of the inherent tendency to

motion of bodies, the absence of any such spontaneous power of motion

was accepted as a physical axiom by the moderns, the old conception

virtually maintained itself is a new shape. For, in spite of Newton's

well-known warning against the 'absurdity' of supposing that one body

can act on another at a distance through a vacuum, the ultimate

particles of matter were generally assumed to be the seats of

perennial causes of motion termed 'attractive and repulsive forces,'

in virtue of which, any two such particles, without any external

impression of motion, or intermediate material agent, were supposed to

tend to approach or remove from one another; and this view of the

duality of the causes of motion is very widely held at the present

day.

Another important result of investigation, attained in the seventeenth

century, was the proof and quantitative estimation of physical

inertia. In the old philosophy, a curious conjunction of ethical and

physical prejudices had led to the notion that there was something

ethically bad and physically obstructive about matter. Aristotle

attributes all irregularities and apparent dysteleologies in nature to

the disobedience, or sluggish yielding, of matter to the shaping and

guiding influence of those reasons and causes which were hypostatised

in his ideal 'Forms.' In modern science, the conception of the

inertia, or resistance to change, of matter is complex. In part, it

contains a corollary from the law of causation: A body cannot change

its state in respect of rest or motion without a sufficient cause.

But, in part, it contains generalisations from experience. One of

these is that there is no such sufficient cause resident in any body,

and that therefore it will rest, or continue in motion, so long as no

external cause of change acts upon it. The other is that the effect

which the impact of a body in motion produces upon the body on which

it impinges depends, other things being alike, on the relation of a

certain quality of each which is called 'mass.' Given a cause of

motion of a certain value, the amount of motion, measured by distance

travelled in a certain time, which it will produce in a given quantity

of matter, say a cubic inch, is not always the same, but depends on

what that matter is--a cubic inch of iron will go faster than a cubic

inch of gold. Hence, it appears, that since equal amounts of motion

have, _ex hypothesi_, been produced, the amount of motion in a body

does not depend on its speed alone, but on some property of the body.

To this the name of 'mass' has been given. And since it seems

reasonable to suppose that a large quantity of matter, moving slowly,

possesses as much motion as a small quantity moving faster, 'mass' has

been held to express 'quantity of matter.' It is further demonstrable

that, at any given time and place, the relative mass of any two bodies

is expressed by the ratio of their weights.

[Sidenote: Mechanical theory of heat.]

The Advance of Science in the Last Half-Century · 第 6 / 14 题