The main feature, therefore, of Experimental Physics at Cambridge is

the Devonshire Physical Laboratory, and I think it desirable that on

the present occasion, before we enter on the details of any special

study, we should consider by what means we, the University of

Cambridge, may, as a living body, appropriate and vitalise this new

organ, the outward shell of which we expect soon to rise before us.

The course of study at this University has always included Natural

Philosophy, as well as Pure Mathematics. To diffuse a sound knowledge

of Physics, and to imbue the minds of our students with correct

dynamical principles, have been long regarded as among our highest

functions, and very few of us can now place ourselves in the mental

condition in which even such philosophers as the great Descartes were

involved in the days before Newton had announced the true laws of the

motion of bodies. Indeed the cultivation and diffusion of sound

dynamical ideas has already effected a great change in the language

and thoughts even of those who make no pretensions to science, and we

are daily receiving fresh proofs that the popularisation of scientific

doctrines is producing as great an alteration in the mental state of

society as the material applications of science are effecting in its

outward life. Such indeed is the respect paid to science, that the

most absurd opinions may become current, provided they are expressed

in language, the sound of which recals some well-known scientific

phrase. If society is thus prepared to receive all kinds of

scientific doctrines, it is our part to provide for the diffusion and

cultivation, not only of true scientific principles, but of a spirit

of sound criticism, founded on an examination of the evidences on

which statements apparently scientific depend.

When we shall be able to employ in scientific education, not only the

trained attention of the student, and his familiarity with symbols,

but the keenness of his eye, the quickness of his ear, the delicacy of

his touch, and the adroitness of his fingers, we shall not only extend

our influence over a class of men who are not fond of cold

abstractions, but, by opening at once all the gateways of knowledge,

we shall ensure the association of the doctrines of science with those

elementary sensations which form the obscure background of all our

conscious thoughts, and which lend a vividness and relief to ideas,

which, when presented as mere abstract terms, are apt to fade entirely

from the memory.

In a course of Experimental Physics we may consider either the Physics

or the Experiments as the leading feature. We may either employ the

experiments to illustrate the phenomena of a particular branch of

Physics, or we may make some physical research in order to exemplify a

particular experimental method. In the order of time, we should

begin, in the Lecture Room, with a course of lectures on some branch

of Physics aided by experiments of illustration, and conclude, in the

Laboratory, with a course of experiments of research.

Let me say a few words on these two classes of

experiments,--Experiments of Illustration and Experiments of Research.

The aim of an experiment of illustration is to throw light upon some

scientific idea so that the student may be enabled to grasp it. The

circumstances of the experiment are so arranged that the phenomenon

which we wish to observe or to exhibit is brought into prominence,

instead of being obscured and entangled among other phenomena, as it

is when it occurs in the ordinary course of nature. To exhibit

illustrative experiments, to encourage others to make them, and to

cultivate in every way the ideas on which they throw light, forms an

important part of our duty. The simpler the materials of an

illustrative experiment, and the more familiar they are to the

student, the more thoroughly is he likely to acquire the idea which it

is meant to illustrate. The educational value of such experiments is

often inversely proportional to the complexity of the apparatus. The

student who uses home-made apparatus, which is always going wrong,

often learns more than one who has the use of carefully adjusted

instruments, to which he is apt to trust, and which he dares not take

to pieces.

It is very necessary that those who are trying to learn from books the

facts of physical science should be enabled by the help of a few

illustrative experiments to recognise these facts when they meet with

them out of doors. Science appears to us with a very different aspect

after we have found out that it is not in lecture rooms only, and by

means of the electric light projected on a screen, that we may witness

physical phenomena, but that we may find illustrations of the highest

doctrines of science in games and gymnastics, in travelling by land

and by water, in storms of the air and of the sea, and wherever there

is matter in motion.

This habit of recognising principles amid the endless variety of their

action can never degrade our sense of the sublimity of nature, or mar

our enjoyment of its beauty. On the contrary, it tends to rescue our

scientific ideas from that vague condition in which we too often leave

them, buried among the other products of a lazy credulity, and to

raise them into their proper position among the doctrines in which our

faith is so assured, that we are ready at all times to act on them.

Experiments of illustration may be of very different kinds. Some may

be adaptations of the commonest operations of ordinary life, others

may be carefully arranged exhibitions of some phenomenon which occurs

only under peculiar conditions. They all, however, agree in this,

that their aim is to present some phenomenon to the senses of the

student in such a way that he may associate with it the appropriate

scientific idea. When he has grasped this idea, the experiment which

illustrates it has served its purpose.

In an experiment of research, on the other hand, this is not the

principal aim. It is true that an experiment, in which the principal

aim is to see what happens under certain conditions, may be regarded

as an experiment of research by those who are not yet familiar with

the result, but in experimental researches, strictly so called, the

ultimate object is to measure something which we have already seen--to

obtain a numerical estimate of some magnitude.

Experiments of this class--those in which measurement of some kind is

involved, are the proper work of a Physical Laboratory. In every

experiment we have first to make our senses familiar with the

phenomenon, but we must not stop here, we must find out which of its

features are capable of measurement, and what measurements are

required in order to make a complete specification of the phenomenon.

We must then make these measurements, and deduce from them the result

which we require to find.

This characteristic of modern experiments--that they consist

principally of measurements,--is so prominent, that the opinion seems

to have got abroad, that in a few years all the great physical

constants will have been approximately estimated, and that the only

occupation which will then be left to men of science will be to carry

on these measurements to another place of decimals.

If this is really the state of things to which we are approaching, our

Laboratory may perhaps become celebrated as a place of conscientious

labour and consummate skill, but it will be out of place in the

University, and ought rather to be classed with the other great

workshops of our country, where equal ability is directed to more

useful ends.

But we have no right to think thus of the unsearchable riches of

creation, or of the untried fertility of those fresh minds into which

these riches will continue to be poured. It may possibly be true

that, in some of those fields of discovery which lie open to such

rough observations as can be made without artificial methods, the

great explorers of former times have appropriated most of what is

valuable, and that the gleanings which remain are sought after, rather

for their abstruseness, than for their intrinsic worth. But the

history of science shews that even during that phase of her progress

in which she devotes herself to improving the accuracy of the

numerical measurement of quantities with which she has long been

familiar, she is preparing the materials for the subjugation of new

regions, which would have remained unknown if she had been contented

with the rough methods of her early pioneers. I might bring forward

instances gathered from every branch of science, shewing how the

labour of careful measurement has been rewarded by the discovery of

new fields of research, and by the development of new scientific

ideas. But the history of the science of terrestrial magnetism

affords us a sufficient example of what may be done by Experiments in

Concert, such as we hope some day to perform in our Laboratory.

That celebrated traveller, Humboldt, was profoundly impressed with the

scientific value of a combined effort to be made by the observers of

all nations, to obtain accurate measurements of the magnetism of the

earth; and we owe it mainly to his enthusiasm for science, his great

reputation and his wide-spread influence, that not only private men of

science, but the governments of most of the civilised nations, our own

among the number, were induced to take part in the enterprise. But

the actual working out of the scheme, and the arrangements by which

the labours of the observers were so directed as to obtain the best

results, we owe to the great mathematician Gauss, working along with

Weber, the future founder of the science of electro-magnetic

measurement, in the magnetic observatory of Gottingen, and aided by

the skill of the instrument-maker Leyser. These men, however, did not

work alone. Numbers of scientific men joined the Magnetic Union,

learned the use of the new instruments and the new methods of reducing

the observations; and in every city of Europe you might see them, at

certain stated times, sitting, each in his cold wooden shed, with his

eye fixed at the telescope, his ear attentive to the clock, and his

pencil recording in his note-book the instantaneous position of the

suspended magnet.

Bacon's conception of "Experiments in concert" was thus realised, the

scattered forces of science were converted into a regular army, and

emulation and jealousy became out of place, for the results obtained

by any one observer were of no value till they were combined with

those of the others.

The increase in the accuracy and completeness of magnetic observations

which was obtained by the new method, opened up fields of research

which were hardly suspected to exist by those whose observations of

the magnetic needle had been conducted in a more primitive manner. We

must reserve for its proper place in our course any detailed

description of the disturbances to which the magnetism of our planet

is found to be subject. Some of these disturbances are periodic,

following the regular courses of the sun and moon. Others are sudden,

and are called magnetic storms, but, like the storms of the

atmosphere, they have their known seasons of frequency. The last and

the most mysterious of these magnetic changes is that secular

variation by which the whole character of the earth, as a great

magnet, is being slowly modified, while the magnetic poles creep on,

from century to century, along their winding track in the polar

regions.

We have thus learned that the interior of the earth is subject to the

influences of the heavenly bodies, but that besides this there is a

constantly progressive change going on, the cause of which is entirely

unknown. In each of the magnetic observatories throughout the world

an arrangement is at work, by means of which a suspended magnet

directs a ray of light on a preparred sheet of paper moved by

clockwork. On that paper the never-resting heart of the earth is now

tracing, in telegraphic symbols which will one day be interpreted, a

record of its pulsations and its flutterings, as well as of that slow

but mighty working which warns us that we must not suppose that the

inner history of our planet is ended.

But this great experimental research on Terrestrial Magnetism produced

lasting effects on the progress of science in general. I need only

mention one or two instances. The new methods of measuring forces

were successfully applied by Weber to the numerical determination of

all the phenomena of electricity, and very soon afterwards the

electric telegraph, by conferring a commercial value on exact

numerical measurements, contributed largely to the advancement, as

well as to the diffusion of scientific knowledge.

But it is not in these more modern branches of science alone that this

influence is felt. It is to Gauss, to the Magnetic Union, and to

magnetic observers in general, that we owe our deliverance from that

absurd method of estimating forces by a variable standard which

prevailed so long even among men of science. It was Gauss who first

based the practical measurement of magnetic force (and therefore of

every other force) on those long established principles, which, though

they are embodied in every dynamical equation, have been so generally

set aside, that these very equations, though correctly given in our

Cambridge textbooks, are usually explained there by assuming, in

addition to the variable standard of force, a variable, and therefore

illegal, standard of mass.

Such, then, were some of the scientific results which followed in this

case from bringing together mathematical power, experimental sagacity,

and manipulative skill, to direct and assist the labours of a body of

zealous observers. If therefore we desire, for our own advantage and

for the honour of our University, that the Devonshire Laboratory

should be successful, we must endeavour to maintain it in living union

with the other organs and faculties of our learned body. We shall

therefore first consider the relation in which we stand to those

mathematical studies which have so long flourished among us, which

deal with our own subjects, and which differ from our experimental

studies only in the mode in which they are presented to the mind.

There is no more powerful method for introducing knowledge into the

mind than that of presenting it in as many different ways as we can.

When the ideas, after entering through different gateways, effect a

junction in the citadel of the mind, the position they occupy becomes

impregnable. Opticians tell us that the mental combination of the

views of an object which we obtain from stations no further apart than

our two eyes is sufficient to produce in our minds an impression of

the solidity of the object seen; and we find that this impression is

produced even when we are aware that we are really looking at two flat

pictures placed in a stereoscope. It is therefore natural to expect

that the knowledge of physical science obtained by the combined use of

mathematical analysis and experimental research will be of a more

solid, available, and enduring kind than that possessed by the mere

mathematician or the mere experimenter.

But what will be the effect on the University, if men Pursuing that

course of reading which has produced so many distinguished Wranglers,

turn aside to work experiments? Will not their attendance at the

Laboratory count not merely as time withdrawn from their more

legitimate studies, but as the introduction of a disturbing element,

tainting their mathematical conceptions with material imagery, and

sapping their faith in the formulae of the textbook? Besides this, we

have already heard complaints of the undue extension of our studies,

and of the strain put upon our questionists by the weight of learning

which they try to carry with them into the Senate-House. If we now

ask them to get up their subjects not only by books and writing, but

at the same time by observation and manipulation, will they not break

down altogether? The Physical Laboratory, we are told, may perhaps be

useful to those who are going out in Natural Science, and who do

not take in Mathematics, but to attempt to combine both kinds of study

during the time of residence at the University is more than one mind

can bear.

No doubt there is some reason for this feeling. Many of us have

already overcome the initial difficulties of mathematical training.

When we now go on with our study, we feel that it requires exertion

and involves fatigue, but we are confident that if we only work hard

our progress will be certain.

Some of us, on the other hand, may have had some experience of the

routine of experimental work. As soon as we can read scales, observe

times, focus telescopes, and so on, this kind of work ceases to

require any great mental effort. We may perhaps tire our eyes and

weary our backs, but we do not greatly fatigue our minds.

It is not till we attempt to bring the theoretical part of our

training into contact with the practical that we begin to experience

the full effect of what Faraday has called "mental inertia"--not only

the difficulty of recognising, among the concrete objects before us,

the abstract relation which we have learned from books, but the

distracting pain of wrenching the mind away from the symbols to the

objects, and from the objects back to the symbols. This however is

the price we have to pay for new ideas.

But when we have overcome these difficulties, and successfully bridged

over the gulph between the abstract and the concrete, it is not a mere

piece of knowledge that we have obtained: we have acquired the

rudiment of a permanent mental endowment. When, by a repetition of

efforts of this kind, we have more fully developed the scientific

faculty, the exercise of this faculty in detecting scientific

principles in nature, and in directing practice by theory, is no

longer irksome, but becomes an unfailing source of enjoyment, to which

we return so often, that at last even our careless thoughts begin to

run in a scientific channel.

I quite admit that our mental energy is limited in quantity, and I

know that many zealous students try to do more than is good for them.

But the question about the introduction of experimental study is not

entirely one of quantity. It is to a great extent a question of

distribution of energy. Some distributions of energy, we know, are

more useful than others, because they are more available for those

purposes which we desire to accomplish.

Now in the case of study, a great part of our fatigue often arises,

not from those mental efforts by which we obtain the mastery of the

subject, but from those which are spent in recalling our wandering

thoughts; and these efforts of attention would be much less fatiguing

if the disturbing force of mental distraction could be removed.

This is the reason why a man whose soul is in his work always makes

more progress than one whose aim is something not immediately

connected with his occupation. In the latter case the very motive of

which he makes use to stimulate his flagging powers becomes the means

of distracting his mind from the work before him.

There may be some mathematicians who pursue their studies entirely for

their own sake. Most men, however, think that the chief use of

mathematics is found in the interpretation of nature. Now a man who

studies a piece of mathematics in order to understand some natural

phenomenon which he has seen, or to calculate the best arrangement of

some experiment which he means to make, is likely to meet with far

less distraction of mind than if his sole aim had been to sharpen his

mind for the successful practice of the Law, or to obtain a high place

in the Mathematical Tripos.

I have known men, who when they were at school, never could see the

good of mathematics, but who, when in after life they made this

discovery, not only became eminent as scientific engineers, but made

considerable progress in the study of abstract mathematics. If our

experimental course should help any of you to see the good of

mathematics, it will relieve us of much anxiety, for it will not only

ensure the success of your future studies, but it will make it much

less likely that they will prove injurious to your health.

But why should we labour to prove the advantage of practical science

to the University? Let us rather speak of the help which the

University may give to science, when men well trained in mathematics

and enjoying the advantages of a well-appointed Laboratory, shall

unite their efforts to carry out some experimental research which no

solitary worker could attempt.

At first it is probable that our principal experimental work must be

the illustration of particular branches of science, but as we go on we

must add to this the study of scientific methods, the same method

being sometimes illustrated by its application to researches belonging

to different branches of science.

We might even imagine a course of experimental study the arrangement

of which should be founded on a classification of methods, and not on

that of the objects of investigation. A combination of the two plans

seems to me better than either, and while we take every opportunity of

studying methods, we shall take care not to dissociate the method from

the scientific research to which it is applied, and to which it owes

its value.

We shall therefore arrange our lectures according to the

classification of the principal natural phenomena, such as heat,

electricity, magnetism and so on.

In the laboratory, on the other hand, the place of the different

instruments will be determined by a classification according to

methods, such as weighing and measuring, observations of time, optical

and electrical methods of observation, and so on.

The determination of the experiments to be performed at a particular

time must often depend upon the means we have at command, and in the

case of the more elaborate experiments, this may imply a long time of

preparation, during which the instruments, the methods, and the

observers themselves, are being gradually fitted for their work. When

we have thus brought together the requisites, both material and

intellectual, for a particular experiment, it may sometimes be

desirable that before the instruments are dismounted and the observers

dispersed, we should make some other experiment, requiring the same

method, but dealing perhaps with an entirely different class of

physical phenomena.

Our principal work, however, in the Laboratory must be to acquaint

ourselves with all kinds of scientific methods, to compare them, and

to estimate their value. It will, I think, be a result worthy of our

University, and more likely to be accomplished here than in any

private laboratory, if, by the free and full discussion of the

relative value of different scientific procedures, we succeed in

forming a school of scientific criticism, and in assisting the

development of the doctrine of method.

But admitting that a practical acquaintance with the methods of

Physical Science is an essential part of a mathematical and scientific

education, we may be asked whether we are not attributing too much

importance to science altogether as part of a liberal education.

Fortunately, there is no question here whether the University should

continue to be a place of liberal education, or should devote itself

to preparing young men for particular professions. Hence though some

of us may, I hope, see reason to make the pursuit of science the main

business of our lives, it must be one of our most constant aims to

maintain a living connexion between our work and the other liberal

studies of Cambridge, whether literary, philological, historical or

philosophical.

Five of Maxwell's Papers · 第 2 / 3 段