I have thus far confined myself to the purely intellectual side of

this question. But man is not all intellect. If he were so, science

would, I believe, be his proper nutriment. But he feels as well as

thinks; he is receptive of the sublime and beautiful as well as of the

true. Indeed, I believe that even the intellectual action of a

complete man is, consciously or unconsciously, sustained by an

undercurrent of the emotions. It is vain to attempt to separate the

moral and emotional from the intellectual. Let a man but observe

himself, and he will, if I mistake not, find that in nine cases out of

ten, the emotions constitute the motive force which pushes his

intellect into action. The reading of the works of two men, neither

of them imbued with the spirit of modern science--neither of them,

indeed, friendly to that spirit--has placed me here to-day. These men

are the English Carlyle and the American Emerson. I must ever

gratefully remember that through three long cold German winters

Carlyle placed me in my tub, even when ice was on its surface, at five

o'clock every morning--not slavishly, but cheerfully, meeting each

day's studies with a resolute will, determined whether victor or

vanquished not to shrink from difficulty. I never should have gone

through Analytical Geometry and the Calculus had it not been for those

men. I never should have become a physical investigator, and hence

without them I should not have been here to-day. They told me what I

ought to do in a way that caused me to do it, and all my consequent

intellectual action is to be traced to this purely moral source. To

Carlyle and Emerson I ought to add Fichte, the greatest representative

of pure idealism. These three unscientific men made me a practical

scientific worker. They called out 'Act!' I hearkened to the

summons, taking the liberty, however, of determining for myself the

direction which effort was to take.

And I may now cry 'Act!' but the potency of action must be yours. I

may pull the trigger, but if the gun be not charged there is no

result. We are creators in the intellectual world as little as in the

physical. We may remove obstacles, and render latent capacities

active, but we cannot suddenly change the nature of man. The 'new

birth' itself implies the pre-existence of a character which requires

not to be created but brought forth. You cannot by any amount of

missionary labour suddenly transform the savage into the civilised

Christian. The improvement of man is _secular_--not the work of an hour

or of a day. But though indubitably bound by our organisations, no

man knows what the potentialities of any human mind may be, requiring

only release to be brought into action. There are in the mineral

world certain crystals--certain forms, for instance, of fluor-spar,

which have lain darkly in the earth for ages, but which nevertheless

have a potency of light locked up within them. In their case the

potential has never become actual--the light is in fact held back by a

molecular detent. When these crystals are warmed, the detent is

lifted, and an outflow of light immediately begins. I know not how

many of you may be in the condition of this fluor-spar. For aught I

know, every one of you may be in this condition, requiring but the

proper agent to be applied--the proper word to be spoken--to remove a

detent, and to render you conscious of light and warmth within

yourselves and sources of both to others.

The circle of human nature, then, is not complete without the arc of

the emotions. The lilies of the field have a value for us beyond

their botanical ones--a certain lightening of the heart accompanies

the declaration that 'Solomon in all his glory was not arrayed like

one of these.' The sound of the village bell has a value beyond its

acoustical one. The setting sun has a value beyond its optical one.

The starry heavens, as you know, had for Immanuel Kant a value beyond

their astronomical one. I think it very desirable to keep this

horizon of the emotions open, and not to permit either priest or

philosopher to draw down his shutters between you and it. Here the

dead languages, which are sure to be beaten by science in the purely

intellectual fight, have an irresistible claim. They supplement the

work of science by exalting and refining the aesthetic faculty, and

must on this account be cherished by all who desire to see human

culture complete. There must be a reason for the fascination which

these languages have so long exercised upon powerful and elevated

minds--a fascination which will probably continue for men of Greek and

Roman mould to the end of time.

In connection with this question one very obvious danger besets many

of the more earnest spirits of our day--the danger of _haste_ in

endeavouring to give the feelings repose. We are distracted by

systems of theology and philosophy which were taught to us when young,

and which now excite in us a hunger and a thirst for knowledge not

proved to be attainable. There are periods when the judgment ought to

remain in suspense, the data on which a decision might be based being

absent. This discipline of suspending the judgment is a common one in

science, but not so common as it ought to be elsewhere. I walked down

Regent Street some time ago with a man of great gifts and

acquirements, discussing with him various theological questions. I

could not accept his views of the origin and destiny of the universe,

nor was I prepared to enunciate any definite views of my own. He

turned to me at length and said, 'You surely must have a theory of the

universe.' That I should in one way or another have solved this

mystery of mysteries seemed, to my friend a matter of course. 'I have

not even a theory of magnetism' was my reply. We ought to learn to

wait. We ought assuredly to pause before closing with the advances of

those expounders of the ways of God to men, who offer us intellectual

peace at the modest cost of intellectual life.

The teachers of the world ought to be its best men, and for the

present at all events such men must learn self-trust. By the fullness

and freshness of their own Jives and utterances they must awaken life

in others. The hopes and terrors which influenced our fathers are

passing away, and our trust henceforth must rest on the innate

strength of man's moral nature. And here, I think, the poet will have

a great part to play in the future culture of the world. To him, when

he rightly understands his mission, and does not flinch from the tonic

discipline which it assuredly demands, we have a right to look for

that heightening and brightening of life which so many of us need. To

him it is given for a long time to come to fill those shores which the

recession of the theologic tide has left exposed. Void of offence to

science, he may freely deal with conceptions which science shuns, and

become the illustrator and interpreter of that Power which as

'Jehovah, Jove, or Lord,'

has hitherto filled and strengthened the human heart.

Let me utter one practical word in conclusion--take care of your

health. There have been men who by wise attention to this point might

have risen to any eminence--might have made great discoveries, written

great poems, commanded armies, or ruled states, but who by unwise

neglect of this point have come to nothing. Imagine Hercules as

oarsman in a rotten boat; what can he do there but by the very force

of his stroke expedite the ruin of his craft? Take care then of the

timbers of your boat, and avoid all practices likely to introduce

either wet or dry rot amongst them. And this is not to be

accomplished by desultory or intermittent efforts of the will, but by

the formation of _habits_. The will no doubt has sometimes to put forth

its strength in order to crush the special temptation. But the

formation of right habits is essential to your permanent security.

They diminish your chance of falling when assailed, and they augment

your chance of recovery when overthrown.

********************

If thou would'st know the mystic song

Chaunted when the sphere was young,

Aloft, abroad, the paean swells,

O wise man, hear'st thou half it tells?

To the open ear it sings

The early genesis of things;

Of tendency through endless ages

Of star-dust and star-pilgrimages,

Of rounded worlds, of space and time,

Of the old floods' subsiding slime,

Of chemic matter, force and form,

Of poles and powers, cold, wet, and warm.

The rushing metamorphosis

Dissolving all that fixture is,

Melts things that be to things that seem,

And solid nature to a dream.'

EMERSON.

Was waer' ein Gott der nur von aussen stiesse,

Im Kreis das All am Finger laufen liesse

Ihm ziemt's, die Welt im Innern zu bewegen,

Natur in Sich, Sich in Natur zu hegen.'

GOETHE.

*****

VIII. SCIENTIFIC USE OF THE IMAGINATION.

[Footnote: Discourse delivered before the British Association at

Liverpool, September 16, 1870.]

'Lastly, physical investigation, more than anything besides, helps to

teach us the actual value and right use of the Imagination--of that

wondrous faculty, which, left to ramble uncontrolled, leads us astray

into a wilderness of perplexities and errors, a land of mists and

shadows; but which, properly controlled by experience and reflection,

becomes the noblest attribute of man; the source of poetic genius, the

instrument of discovery in Science, without the aid of which Newton

would never have invented fluxions, nor Davy have decomposed the

earths and alkalies, nor would Columbus have found another

Continent.'--Address to the Royal Society by its President Sir

Benjamin Brodie, November 30, 1859.

I carried with me to the Alps this year the burden of this evening's

work. Save from memory I had no direct aid upon the mountains; but to

spur up the emotions, on which so much depends, as well as to nourish

indirectly the intellect and will, I took with me four works,

comprising two volumes of poetry, Goethe's 'Farbenlehre,' and the work

on 'Logic' recently published by Mr. Alexander Bain. In Goethe, so

noble otherwise, I chiefly noticed the self-inflicted hurts of genius,

as it broke itself in vain against the philosophy of Newton. Mr. Bain

I found, for the most part, learned and practical, shining generally

with a dry light, but exhibiting at times a flush of emotional

strength, which proved that even logicians share the common fire of

humanity. He interested me most when he became the mirror of my own

condition. Neither intellectually nor socially is it good for man to

be alone, and the sorrows of thought are more patiently borne when we

find that they have been experienced by another. From certain

passages in his book I could infer that Mr. Bain was no stranger to

such sorrows. Speaking for example of the ebb of intellectual force,

which we all from time to time experience, Mr. Bain says: 'The

uncertainty where to look for the next opening of discovery brings the

pain of conflict and the debility of indecision.' These words have in

them the true ring of personal experience. The action of the

investigator is periodic. He grapples with a subject of enquiry,

wrestles with it, and exhausts, it may be, both himself and it for the

time being. He breathes a space, and then renews the struggle in

another field. Now this period of halting between two investigations

is not always one of pure repose. It is often a period of doubt and

discomfort--of gloom and ennui. 'The uncertainty where to look for

the next opening of discovery brings the pain of conflict and the

debility of indecision.' It was under such conditions that I had to

equip myself for the hour and the ordeal that are now come.

*****

The disciplines of common life are, in great part, exercises in the

relations of space, or in the mental grouping of bodies in space; and,

by such exercises, the public mind is, to some extent, prepared for

the reception of physical conceptions. Assuming this preparation on

your part, the wish gradually grew within me to trace, and to enable

you to trace, some of the more occult features and operations of Light

and Colour. I wished, if possible, to take you beyond the boundary of

mere observation, into a region where things are intellectually

discerned, and to show you there the hidden mechanism of optical

action.

But how are those hidden things to be revealed? Philosophers may be

right in affirming that we cannot transcend experience: we can, at all

events, carry it a long way from its origin. We can magnify,

diminish, qualify, and combine experiences, so as to render them fit

for purposes entirely new. In explaining sensible phenomena, we

habitually form mental images of the ultra-sensible. There are Tories

even in science who regard Imagination as a faculty to be feared and

avoided rather than employed. They have observed its action in weak

vessels, and are unduly impressed by its disasters. But they might

with equal justice point to exploded boilers as an argument against

the use of steam. With accurate experiment and observation to work

upon, Imagination becomes the architect of physical theory. Newton's

passage from a falling apple to a falling moon was an act of the

prepared imagination, without which the 'laws of Kepler' could never

have been traced to their foundations. Out of the facts of chemistry

the constructive imagination of Dalton formed the atomic theory. Davy

was richly endowed with the imaginative faculty, while with Faraday

its exercise was incessant, preceding, accompanying and guiding all

his experiments. His strength and fertility as a discoverer is to be

referred in great part to the stimulus of his imagination. Scientific

men fight shy of the word because of its ultra-scientific

connotations; but the fact is that without the exercise of this power,

our knowledge of nature would be a mere tabulation of co-existences

and sequences. We should still believe in the succession of day and

night, of summer and winter; but the conception of Force would vanish

from our universe; causal relations would disappear, and with them

that science which is now binding the parts of nature to an organic

whole.

I should like to illustrate by a few simple instances the use that

scientific men have already made of this power of imagination, and to

indicate afterwards some of the further uses that they are likely to

make of it. Let us begin with the rudimentary experiences. Observe

the falling of heavy rain-drops into a tranquil pond. Each drop as it

strikes the water becomes a centre of disturbance, from which a series

of ring-ripples expand outwards. Gravity and inertia are the agents

by which this wave-motion is produced, and a rough experiment will

suffice to show that the rate of propagation does not amount to a foot

a second. A series of slight mechanical shocks is experienced by a

body plunged in the water, as the wavelets reach it in succession. But

a finer motion is at the same time set up and propagated. If the head

and ears be immersed in the water, as in an experiment of Franklin's,

the tick of the drop is heard. Now, this sonorous impulse is

propagated, not at the rate of a foot, but at the rate of 4,700 feet a

second. In this case it is not the gravity but the elasticity of the

water that comes into play. Every liquid particle pushed against its

neighbour delivers up its motion with extreme rapidity, and the pulse

is propagated as a thrill. The incompressibility of water, as

illustrated by the famous Florentine experiment, is a measure of its

elasticity; and to the possession of this property, in so high a

degree, the rapid transmission of a sound-pulse through water is to be

ascribed.

But water, as you know, is not necessary to the conduction of sound;

air is its most common vehicle. And you know that when the air

possesses the particular density and elasticity corresponding to the

temperature of freezing water, the velocity of sound in it is 1,090

feet a second. It is almost exactly one-fourth of the velocity in

water; the reason being that though the greater weight of the water

tends to diminish the velocity, the enormous molecular elasticity of

the liquid far more than atones for the disadvantage due to weight. By

various contrivances we can compel the vibrations of the air to

declare themselves we know the length and frequency of the sonorous

waves, and we have also obtained great mastery over the various

methods by which the air is thrown into vibration. We know the

phenomena and laws of vibrating rods, of organ-pipes, strings,

membranes, plates, and bells. We can abolish one sound by another. We

know the physical meaning of music and noise, of harmony and discord.

In short, as regards sound in general, we have a very clear notion of

the external physical processes which correspond to our sensations.

In the phenomena of sound, we travel a very little way from downright

sensible experience. Still the imagination is to some extent

exercised. The bodily eye, for example, cannot see the condensations

and rarefactions of the waves of sound. We construct them in thought,

and we believe as firmly in their existence as in that of the air

itself. But now our experience is to be carried into a new region,

where a new use is to be made of it. Having mastered the cause and

mechanism of sound, we desire to know the cause and mechanism of

light. We wish to extend our enquiries from the auditory to the optic

nerve. There is in the human intellect a power of expansion--I might

almost call it a power of creation--which is brought into play by the

simple brooding upon facts. The legend of the spirit brooding over

chaos may have originated in experience of this power. In the case

now before us it has manifested itself by transplanting into space,

for the purposes of light, an adequately modified form of the

mechanism of sound. We know intimately whereon the velocity of sound

depends. When we lessen the density of the aerial medium, and

preserve its elasticity constant, we augment the velocity. When we

heighten the elasticity, and keep the density constant, we also

augment the velocity. A small density, therefore, and a great

elasticity, are the two things necessary to rapid propagation. Now

light is known to move with the astounding velocity of 186,000 miles a

second. How is such a velocity to be obtained? By boldly diffusing

in space a medium of the requisite tenuity and elasticity.

Let us make such a medium our starting-point, and, endowing it with

one or two other necessary qualities, let us handle it in accordance

with strict mechanical laws. Let us then carry our results from the

world of theory into the world of sense, and see whether our

deductions do not issue in the very phenomena of light which ordinary

knowledge and skilled experiment reveal. If in all the multiplied

varieties of these phenomena, including those of the most remote and

entangled description, this fundamental conception always brings us

face to face with the truth; if no contradiction to our deductions

from it be found in external nature, but on all sides agreement and

verification; if, moreover, as in the case of Conical Refraction and

in other cases, it actually forces upon our attention phenomena which

no eye had previously seen, and which no mind had previously

imagined--such a conception, must, we think, be something more than a

mere figment of the scientific fancy. In forming it, that composite

and creative power, in which reason and imagination are united, has,

we believe, led us into a world not less real than that of the senses,

and of which the world of sense itself is the suggestion and, to a

great extent, the outcome.

Far be it from me, however, to wish to fix you immovably in this or in

any other theoretic conception. With all our belief of it, it will be

well to keep the theory of a luminiferous aether plastic and capable

of change. You may, moreover, urge that, although the phenomena occur

_as if_ the medium existed, the absolute demonstration of its existence

is still wanting. Far be it from me to deny to this reasoning such

validity as it may fairly claim. Let us endeavour by means of analogy

to form a fair estimate of its force. You believe that in society you

are surrounded by reasonable beings like yourself. You are, perhaps,

as firmly convinced of this as of anything. What is your warrant for

this conviction? Simply and solely this: your fellow-creatures behave

as if they were reasonable; the hypothesis, for it is nothing more,

accounts for the facts. To take an eminent example: you believe that

our President is a reasonable being. Why? There is no known method

of superposition by which any one of us can apply himself

intellectually to any other, so as to demonstrate coincidence as

regards the possession of reason. If, therefore, you hold our

President to be reasonable, it is because he behaves _as if_ he were

reasonable. As in the case of the aether, beyond the _'as if'_ you

cannot go. Nay, I should not wonder if a close comparison of the data

on which both inferences rest, caused many respectable persons to

conclude that the aether had the best of it.

This universal medium, this light-aether as it is called, is the

vehicle, not the origin, of wave-motion. It receives and transmits,

but it does not create. Whence does it derive the motions it conveys?

For the most part from luminous bodies. By the motion of a luminous

body I do not mean its sensible motion, such as the flicker of a

candle, or the shooting out of red prominences from the limb of the

sun. I mean an intestine motion of the atoms or molecules of the

luminous body. But here a certain reserve is necessary. Many

chemists of the present day refuse to speak of atoms and molecules as

real things. Their caution leads them to stop short of the clear,

sharp, mechanically intelligible atomic theory enunciated by Dalton,

or any form of that theory, and to make the doctrine of 'multiple

proportions' their intellectual bourne. I respect the caution, though

I think it is here misplaced. The chemists who recoil from these

notions of atoms and molecules accept, without hesitation, the

Undulatory Theory of Light. Like you and me they one and all believe

in an aether and its light-producing waves. Let us consider what this

belief involves. Bring your imaginations once more into play, and

figure a series of sound-waves passing through air. Follow them up to

their origin, and what do you there find? A definite, tangible,

vibrating body. It may be the vocal chords of a human being, it may

be an organ-pipe, or it may be a stretched string. Follow in the same

manner a train of aether-waves to their source; remembering at the

same time that your aether is matter, dense, elastic, and capable of

motions subject to, and determined by, mechanical laws. What then do

you expect to find as the source of a series of aether-waves? Ask

your imagination if it will accept a vibrating multiple proportion--a

numerical ratio in a state of oscillation? I do not think it will.

You cannot crown the edifice with this abstraction. The scientific

imagination, which is here authoritative, demands, as the origin and

cause of a series of aether-waves, a particle of vibrating matter

quite as definite, though it may be excessively minute, as that which

gives origin to a musical sound. Such a particle we name an atom or a

molecule. I think the intellect, when focussed so as to give

definition without penumbral haze, is sure to realise this image at

the last.

*****

Fragments of Science: A Series of Detached Essays, Addresses, and Reviews. V. 1-2 · 第 43 / 69 段