Nevertheless this great theory of undulation, like many another truth,

which in the long run has proved a blessing to humanity, had to

establish, by hot conflict, its right to existence. Illustrious names

were arrayed against it. It had been enunciated by Hooke, it had been

expounded and applied by Huyghens, it had been defended by Euler. But

they made no impression. And, indeed, the theory in their hands lacked

the strength of a demonstration. It first took the form of a

demonstrated verity in the hands of Thomas Young. He brought the waves

of light to bear upon each other, causing them to support each other,

and to extinguish each other at will. From their mutual actions he

determined their lengths, and applied his knowledge in all directions.

He finally showed that the difficulty of polarization yielded to the

grasp of theory.

After him came Fresnel, whose transcendent mathematical abilities

enabled him to give the theory a generality unattained by Young. He

seized it in its entirety; followed the ether into the hearts of

crystals of the most complicated structure, and into bodies subjected

to strain and pressure. He showed that the facts discovered by Malus,

Arago, Brewster, and Biot were so many ganglia, so to speak, of his

theoretic organism, deriving from it sustenance and explanation. With

a mind too strong for the body with which it was associated, that body

became a wreck long before it had become old, and Fresnel died,

leaving, however, behind him a name immortal in the annals of science.

One word more I should like to say regarding Fresnel. There are things

better even than science. Character is higher than Intellect, but it

is especially pleasant to those who wish to think well of human nature

when high intellect and upright character are found combined. They

were combined in this young Frenchman. In those hot conflicts of the

undulatory theory, he stood forth as a man of integrity, claiming no

more than his right, and ready to concede their rights to others. He

at once recognized and acknowledged the merits of Thomas Young.

Indeed, it was he, and his fellow-countryman Arago, who first startled

England into the consciousness of the injustice done to Young in the

'Edinburgh Review.'

I should like to read to you a brief extract from a letter written by

Fresnel to Young in 1824, as it throws a pleasant light upon the

character of the French philosopher. 'For a long time,' says Fresnel,

'that sensibility, or that vanity, which people call love of glory has

been much blunted in me. I labour much less to catch the suffrages of

the public, than to obtain that inward approval which has always been

the sweetest reward of my efforts. Without doubt, in moments of

disgust and discouragement, I have often needed the spur of vanity to

excite me to pursue my researches. But all the compliments I have

received from Arago, De la Place, and Biot never gave me so much

pleasure as the discovery of a theoretic truth or the confirmation of

a calculation by experiment.'

* * * * *

This, then, is the core of the whole matter as regards science. It

must be cultivated for its own sake, for the pure love of truth,

rather than for the applause or profit that it brings. And now my

occupation in America is well-nigh gone. Still I will bespeak your

tolerance for a few concluding remarks, in reference to the men who

have bequeathed to us the vast body of knowledge of which I have

sought to give you some faint idea in these lectures. What was the

motive that spurred them on? What urged them to those battles and

those victories over reticent Nature, which have become the heritage

of the human race? It is never to be forgotten that not one of those

great investigators, from Aristotle down to Stokes and Kirchhoff, had

any practical end in view, according to the ordinary definition of the

word 'practical.' They did not propose to themselves money as an end,

and knowledge as a means of obtaining it. For the most part, they

nobly reversed this process, made knowledge their end, and such money

as they possessed the means of obtaining it.

We see to-day the issues of their work in a thousand practical forms,

and this may be thought sufficient to justify, if not ennoble, their

efforts. But they did not work for such issues; their reward was of a

totally different kind. In what way different? We love clothes, we

love luxuries, we love fine equipages, we love money, and any man who

can point to these as the result of his efforts in life, justifies

these results before all the world. In America and England, more

especially, he is a 'practical' man. But I would appeal confidently to

this assembly whether such things exhaust the demands of human nature?

The very presence here for six inclement nights of this great

audience, embodying so much of the mental force and refinement of this

vast city,[26] is an answer to my question. I need not tell such an

assembly that there are joys of the intellect as well as joys of the

body, or that these pleasures of the spirit constituted the reward of

our great investigators. Led on by the whisperings of natural truth,

through pain and self-denial, they often pursued their work. With the

ruling passion strong in death, some of them, when no longer able to

hold a pen, dictated to their friends the last results of their

labours, and then rested from them for ever.

Could we have seen these men at work, without any knowledge of the

consequences of their work, what should we have thought of them? To

the uninitiated, in their day, they might often appear as big children

playing with soap-bubbles and other trifles. It is so to this hour.

Could you watch the true investigator--your Henry or your Draper, for

example--in his laboratory, unless animated by his spirit, you could

hardly understand what keeps him there. Many of the objects which

rivet his attention might appear to you utterly trivial; and if you

were to ask him what is the _use_ of his work, the chances are that

you would confound him. He might not be able to express the use of it

in intelligible terms. He might not be able to assure you that it will

put a dollar into the pocket of any human being present or to come.

That scientific discovery _may_ put not only dollars into the pockets

of individuals, but millions into the exchequers of nations, the

history of science amply proves; but the hope of its doing so never

was, and it never can be, the motive power of the investigator.

I know that some risk is run in speaking thus before practical men. I

know what De Tocqueville says of you. 'The man of the North,' he says,

'has not only experience, but knowledge. He, however, does not care

for science as a pleasure, and only embraces it with avidity when it

leads to useful applications.' But what, I would ask, are the hopes of

useful applications which have caused you so many times to fill this

place, in spite of snow-drifts and biting cold? What, I may ask, is

the origin of that kindness which drew me from my work in London to

address you here, and which, if I permitted it, would send me home a

millionaire? Not because I had taught you to make a single cent by

science am I here to-night, but because I tried to the best of my

ability to present science to the world as an intellectual good.

Surely no two terms were ever so distorted and misapplied with

reference to man, in his higher relations, as these terms useful and

practical. Let us expand our definitions until they embrace all the

needs of man, his highest intellectual needs inclusive. It is

specially on this ground of its administering to the higher needs of

the intellect; it is mainly because I believe it to be wholesome, not

only as a source of knowledge but as a means of discipline, that I

urge the claims of science upon your attention.

But with reference to material needs and joys, surely pure science has

also a word to say. People sometimes speak as if steam had not been

studied before James Watt, or electricity before Wheatstone and Morse;

whereas, in point of fact, Watt and Wheatstone and Morse, with all

their practicality, were the mere outcome of antecedent forces, which

acted without reference to practical ends. This also, I think, merits

a moment's attention. You are delighted, and with good reason, with

your electric telegraphs, proud of your steam-engines and your

factories, and charmed with the productions of photography. You see

daily, with just elation, the creation of new forms of industry--new

powers of adding to the wealth and comfort of society. Industrial

England is heaving with forces tending to this end; and the pulse of

industry beats still stronger in the United States. And yet, when

analyzed, what are industrial America and industrial England?

If you can tolerate freedom of speech on my part, I will answer this

question by an illustration. Strip a strong arm, and regard the

knotted muscles when the hand is clenched and the arm bent. Is this

exhibition of energy the work of the muscle alone? By no means. The

muscle is the channel of an influence, without which it would be as

powerless as a lump of plastic dough. It is the delicate unseen nerve

that unlocks the power of the muscle. And without those filaments of

genius, which have been shot like nerves through the body of society

by the original discoverer, industrial America, and industrial

England, would be very much in the condition of that plastic dough.

At the present time there is a cry in England for technical education,

and it is a cry in which the most commonplace intellect can join, its

necessity is so obvious. But there is no such cry for original

investigation. Still, without this, as surely as the stream dwindles

when the spring dies, so surely will 'technical education' lose all

force of growth, all power of reproduction. Our great investigators

have given us sufficient work for a time; but if their spirit die out,

we shall find ourselves eventually in the condition of those Chinese

mentioned by De Tocqueville, who, having forgotten the scientific

origin of what they did, were at length compelled to copy without

variation the inventions of an ancestry wiser than themselves, who had

drawn their inspiration direct from Nature.

Both England and America have reason to bear those things in mind, for

the largeness and nearness of material results are only too likely to

cause both countries to forget the small spiritual beginnings of such

results, in the mind of the scientific discoverer. You multiply, but

he creates. And if you starve him, or otherwise kill him--nay, if you

fail to secure for him free scope and encouragement--you not only lose

the motive power of intellectual progress, but infallibly sever

yourselves from the springs of industrial life.

What has been said of technical operations holds equally good for

education, for here also the original investigator constitutes the

fountain-head of knowledge. It belongs to the teacher to give this

knowledge the requisite form; an honourable and often a difficult

task. But it is a task which receives its final sanctification, when

the teacher himself honestly tries to add a rill to the great stream

of scientific discovery. Indeed, it may be doubted whether the real

life of science can be fully felt and communicated by the man who has

not himself been taught by direct communion with Nature. We may, it is

true, have good and instructive lectures from men of ability, the

whole of whose knowledge is second-hand, just as we may have good and

instructive sermons from intellectually able and unregenerate men. But

for that power of science, which corresponds to what the Puritan

fathers would call experimental religion in the heart, you must ascend

to the original investigator.

To keep society as regards science in healthy play, three classes of

workers are necessary: Firstly, the investigator of natural truth,

whose vocation it is to pursue that truth, and extend the field of

discovery for the truth's own sake and without reference to practical

ends. Secondly, the teacher of natural truth, whose vocation it is to

give public diffusion to the knowledge already won by the discoverer.

Thirdly, the applier of natural truth, whose vocation it is to make

scientific knowledge available for the needs, comforts, and luxuries

of civilized life. These three classes ought to co-exist and interact.

Now, the popular notion of science, both in this country and in

England, often relates not to science strictly so called, but to the

applications of science. Such applications, especially on this

continent, are so astounding--they spread themselves so largely and

umbrageously before the public eye--that they often shut out from view

those workers who are engaged in the quieter and profounder business

of original investigation.

Take the electric telegraph as an example, which has been repeatedly

forced upon my attention of late. I am not here to attenuate in the

slightest degree the services of those who, in England and America,

have given the telegraph a form so wonderfully fitted for public use.

They earned a great reward, and they have received it. But I should be

untrue to you and to myself if I failed to tell you that, however high

in particular respects their claims and qualities may be, your

practical men did not discover the electric telegraph. The discovery

of the electric telegraph implies the discovery of electricity itself,

and the development of its laws and phenomena. Such discoveries are

not made by practical men, and they never will be made by them,

because their minds are beset by ideas which, though of the highest

value from one point of view, are not those which stimulate the

original discoverer.

The ancients discovered the electricity of amber; and Gilbert, in the

year 1600, extended the discovery to other bodies. Then followed

Boyle, Von Guericke, Gray, Canton, Du Fay, Kleist, Cunæus, and your

own Franklin. But their form of electricity, though tried, did not

come into use for telegraphic purposes. Then appeared the great

Italian Volta, who discovered the source of electricity which bears

his name, and applied the most profound insight, and the most delicate

experimental skill to its development. Then arose the man who added to

the powers of his intellect all the graces of the human heart, Michael

Faraday, the discoverer of the great domain of magneto-electricity.

OErsted discovered the deflection of the magnetic needle, and Arago and

Sturgeon the magnetization of iron by the electric current. The

voltaic circuit finally found its theoretic Newton in Ohm; while

Henry, of Princeton, who had the sagacity to recognize the merits of

Ohm while they were still decried in his own country, was at this time

in the van of experimental inquiry.

In the works of these men you have all the materials employed at this

hour, in all the forms of the electric telegraph. Nay, more; Gauss,

the illustrious astronomer, and Weber, the illustrious natural

philosopher, both professors in the University of Göttingen, wishing

to establish a rapid mode of communication between the observatory and

the physical cabinet of the university, did this by means of an

electric telegraph. Thus, before your practical men appeared upon the

scene, the force had been discovered, its laws investigated and made

sure, the most complete mastery of its phenomena had been

attained--nay, its applicability to telegraphic purposes

demonstrated--by men whose sole reward for their labours was the noble

excitement of research, and the joy attendant on the discovery of

natural truth.

Are we to ignore all this? We do so at our peril. For I say again

that, behind all our practical applications, there is a region of

intellectual action to which practical men have rarely contributed,

but from which they draw all their supplies. Cut them off from this

region, and they become eventually helpless. In no case is the adage

truer, 'Other men laboured, but ye are entered into their labours,'

than in the case of the discoverer and applier of natural truth. But

now a word on the other side. While practical men are not the men to

make the necessary antecedent discoveries, the cases are rare, though,

in our day, not absent, in which the discoverer knows how to turn his

labours to practical account. Different qualities of mind and habits

of thought are usually needed in the two cases; and while I wish to

give emphatic utterance to the claims of those whose position, owing

to the simple fact of their intellectual elevation, is often

misunderstood, I am not here to exalt the one class of workers at the

expense of the other. They are the necessary complements of each

other. But remember that one class is sure to be taken care of. All

the material rewards of society are already within their reach, while

that same society habitually ascribes to them intellectual

achievements which were never theirs. This cannot but act to the

detriment of those studies out of which, not only our knowledge of

nature, but our present industrial arts themselves, have sprung, and

from which the rising genius of the country is incessantly tempted

away.

Pasteur, one of the most illustrious members of the Institute of

France, in accounting for the disastrous overthrow of his country,

and the predominance of Germany in the late war, expresses himself

thus: 'Few persons comprehend the real origin of the marvels of

industry and the wealth of nations. I need no further proof of this

than the employment, more and more frequent, in official language, and

in writings of all sorts, of the erroneous expression _applied

science_. The abandonment of scientific careers by men capable of

pursuing them with distinction, was recently deplored in the presence

of a minister of the greatest talent. The statesman endeavoured to

show that we ought not to be surprised at this result, because _in our

day the reign of theoretic science yielded place to that of applied

science_. Nothing could be more erroneous than this opinion, nothing,

I venture to say, more dangerous, even to practical life, than the

consequences which might flow from these words. They have rested in my

mind as a proof of the imperious necessity of reform in our superior

education. There exists no category of the sciences, to which the name

of applied science could be rightly given. _We have science, and the

applications of science_, which are united together as the tree and

its fruit.'

And Cuvier, the great comparative anatomist, writes thus upon the same

theme: 'These grand practical innovations are the mere applications of

truths of a higher order, not sought with a practical intent, but

pursued for their own sake, and solely through an ardour for

knowledge. Those who applied them could not have discovered them; but

those who discovered them had no inclination to pursue them to a

practical end. Engaged in the high regions whither their thoughts had

carried them, they hardly perceived these practical issues though

born of their own deeds. These rising workshops, these peopled

colonies, those ships which furrow the seas--this abundance, this

luxury, this tumult--all this comes from discoveries in science, and

it all remains strange to the discoverers. At the point where science

merges into practice they abandon it; it concerns them no more.'

When the Pilgrim Fathers landed at Plymouth Rock, and when Penn made

his treaty with the Indians, the new-comers had to build their houses,

to cultivate the earth, and to take care of their souls. In such a

community science, in its more abstract forms, was not to be thought

of. And at the present hour, when your hardy Western pioneers stand

face to face with stubborn Nature, piercing the mountains and subduing

the forest and the prairie, the pursuit of science, for its own sake,

is not to be expected. The first need of man is food and shelter; but

a vast portion of this continent is already raised far beyond this

need. The gentlemen of New York, Brooklyn, Boston, Philadelphia,

Baltimore, and Washington have already built their houses, and very

beautiful they are; they have also secured their dinners, to the

excellence of which I can also bear testimony. They have, in fact,

reached that precise condition of well-being and independence when a

culture, as high as humanity has yet reached, may be justly demanded

at their hands. They have reached that maturity, as possessors of

wealth and leisure, when the investigator of natural truth, for the

truth's own sake, ought to find among them promoters and protectors.

Among the many problems before them they have this to solve, whether

a republic is able to foster the highest forms of genius. You are

familiar with the writings of De Tocqueville, and must be aware of the

intense sympathy which he felt for your institutions; and this

sympathy is all the more valuable from the philosophic candour with

which he points out not only your merits, but your defects and

dangers. Now if I come here to speak of science in America in a

critical and captious spirit, an invisible radiation from my words and

manner will enable you to find me out, and will guide your treatment

of me to-night. But if I in no unfriendly spirit--in a spirit, indeed,

the reverse of unfriendly--venture to repeat before you what this

great historian and analyst of democratic institutions said of

America, I am persuaded that you will hear me out. He wrote some three

and twenty years ago, and, perhaps, would not write the same to-day;

but it will do nobody any harm to have his words repeated, and, if

necessary, laid to heart.

In a work published in 1850, De Tocqueville says: 'It must be

confessed that, among the civilized peoples of our age, there are few

in which the highest sciences have made so little progress as in the

United States.'[27] He declares his conviction that, had you been

alone in the universe, you would soon have discovered that you cannot

long make progress in practical science without cultivating theoretic

science at the same time. But, according to De Tocqueville, you are

not thus alone. He refuses to separate America from its ancestral

home; and it is there, he contends, that you collect the treasures of

the intellect, without taking the trouble to create them.

De Tocqueville evidently doubts the capacity of a democracy to foster

genius as it was fostered in the ancient aristocracies. 'The future,'

he says, 'will prove whether the passion for profound knowledge, so

rare and so fruitful, can be born and developed as readily in

democratic societies as in aristocracies. For my part,' he continues,

'I can hardly believe it.' He speaks of the unquiet feverishness of

democratic communities, not in times of great excitement, for such

times may give an extraordinary impetus to ideas, but in times of

peace. There is then, he says, 'a small and uncomfortable agitation, a

sort of incessant attrition of man against man, which troubles and

distracts the mind without imparting to it either loftiness or

animation.' It rests with you to prove whether these things are

necessarily so--whether scientific genius cannot find, in the midst of

you, a tranquil home.

I should be loth to gainsay so keen an observer and so profound a

political writer, but, since my arrival in this country, I have been

unable to see anything in the constitution of society, to prevent a

student, with the root of the matter in him, from bestowing the most

steadfast devotion on pure science. If great scientific results are

not achieved in America, it is not to the small agitations of society

that I should be disposed to ascribe the defect, but to the fact that

the men among you who possess the endowments necessary for profound

scientific inquiry, are laden with duties of administration, or

tuition, so heavy as to be utterly incompatible with the continuous

and tranquil meditation which original investigation demands. It may

well be asked whether Henry would have been transformed into an

administrator, or whether Draper would have forsaken science to write

history, if the original investigator had been honoured as he ought to

be in this land. I hardly think they would. Still I do not imagine

this state of things likely to last. In America there is a willingness

on the part of individuals to devote their fortunes, in the matter of

education, to the service of the commonwealth, which is probably

without a parallel elsewhere; and this willingness requires but wise

direction to enable you effectually to wipe away the reproach of De

Tocqueville.

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