A small hole in the ground with fire kindled in it constituted the

primitive stove. The flesh of the quarry, wrapped with water in its

skin, was boiled by contact with heated stones. Cooking by stones was

also done in wooden vessels. Hollow gourds were protected from the fire

by coats of clay. Thus, from the burned clay accidentally originated the

enveloping pot, which rendered the gourd superfluous, although for a

long time thereafter the clay was still spread over the gourd, or

pressed into woven wicker-work before the potter's art assumed its final

independence. Even then the wicker-work ornament was retained, as a sort

of attest of its origin.

We see, thus, it is by accidental circumstances, or by such as lie

without our purpose, foresight, and power, that man is gradually led to

the acquaintance of improved means of satisfying his wants. Let the

reader picture to himself the genius of a man who could have foreseen

without the help of accident that clay handled in the ordinary manner

would produce a useful cooking utensil! The majority of the inventions

made in the early stages of civilisation, including language, writing,

money, and the rest, could not have been the product of deliberate

methodical reflexion for the simple reason that no idea of their value

and significance could have been had except from practical use. The

invention of the bridge may have been suggested by the trunk of a tree

which had fallen athwart a mountain-torrent; that of the tool by the use

of a stone accidentally taken into the hand to crack nuts. The use of

fire probably started in and was disseminated from regions where

volcanic eruptions, hot springs, and burning jets of natural gas

afforded opportunity for quietly observing and turning to practical

account the properties of fire. Only after that had been done could the

significance of the fire-drill be appreciated, an instrument which was

probably discovered from boring a hole through a piece of wood. The

suggestion of a distinguished inquirer that the invention of the

fire-drill originated on the occasion of a religious ceremony is both

fantastic and incredible. And as to the use of fire, we should no more

attempt to derive that from the invention of the fire-drill than we

should from the invention of sulphur matches. Unquestionably the

opposite course was the real one.[84]

Similar phenomena, though still largely veiled in obscurity, mark the

initial transition of nations from a hunting to a nomadic life and to

agriculture.[85] We shall not multiply examples, but content ourselves

with the remark that the same phenomena recur in historical times, in

the ages of great technical inventions, and, further, that regarding

them the most whimsical notions have been circulated--notions which

ascribe to accident an unduly exaggerated part, and one which in a

psychological respect is absolutely impossible. The observation of steam

escaping from a tea-kettle and of the clattering of the lid is supposed

to have led to the invention of the steam-engine. Just think of the gap

between this spectacle and the conception of the performance of great

mechanical work by steam, for a man totally ignorant of the

steam-engine! Let us suppose, however, that an engineer, versed in the

practical construction of pumps, should accidentally dip into water an

inverted bottle that had been filled with steam for drying and still

retained its steam. He would see the water rush violently into the

bottle, and the idea would very naturally suggest itself of founding on

this experience a convenient and useful atmospheric steam-pump, which by

imperceptible degrees, both psychologically possible and immediate,

would then undergo a natural and gradual transformation into Watt's

steam-engine.

But granting that the most important inventions are brought to man's

notice accidentally and in ways that are beyond his foresight, yet it

does not follow that accident alone is sufficient to produce an

invention. The part which man plays is by no means a passive one. Even

the first potter in the primeval forest must have felt some stirrings of

genius within him. In all such cases, the inventor is obliged _to take

note_ of the new fact, he must discover and grasp its advantageous

feature, and must have the power to turn that feature to account in the

realisation of his purpose. He must _isolate_ the new feature, impress

it upon his memory, unite and interweave it with the rest of his

thought; in short, he must possess the capacity _to profit by

experience_.

The capacity to profit by experience might well be set up as a test of

intelligence. This power varies considerably in men of the same race,

and increases enormously as we advance from the lower animals to man.

The former are limited in this regard almost entirely to the reflex

actions which they have inherited with their organism, they are almost

totally incapable of individual experience, and considering their simple

wants are scarcely in need of it. The ivory-snail (_Eburna spirata_)

never learns to avoid the carnivorous Actinia, no matter how often it

may wince under the latter's shower of needles, apparently having no

memory for pain whatever.[86] A spider can be lured forth repeatedly

from its hole by touching its web with a tuning-fork. The moth plunges

again and again into the flame which has burnt it. The humming-bird

hawk-moth[87] dashes repeatedly against the painted roses of the

wall-paper, like the unhappy and desperate thinker who never wearies of

attacking the same insoluble chimerical problem. As aimlessly almost as

Maxwell's gaseous molecules and in the same unreasoning manner common

flies in their search for light and air stream against the glass pane of

a half-opened window and remain there from sheer inability to find their

way around the narrow frame. But a pike separated from the minnows of

his aquarium by a glass partition, learns after the lapse of a few

months, though only after having butted himself half to death, that he

cannot attack these fishes with impunity. What is more, he leaves them

in peace even after the removal of the partition, though he will bolt a

strange fish at once. Considerable memory must be attributed to birds of

passage, a memory which, probably owing to the absence of disturbing

thoughts, acts with the precision of that of some idiots. Finally, the

susceptibility to training evinced by the higher vertebrates is

indisputable proof of the ability of these animals to profit by

experience.

A powerfully developed _mechanical_ memory, which recalls vividly and

faithfully old situations, is sufficient for avoiding definite

particular dangers, or for taking advantage of definite particular

opportunities. But more is required for the development of _inventions_.

More extensive chains of images are necessary here, the excitation by

mutual contact of widely different trains of ideas, a more powerful,

more manifold, and richer connexion of the contents of memory, a more

powerful and impressionable psychical life, heightened by use. A man

stands on the bank of a mountain-torrent, which is a serious obstacle to

him. He remembers that he has crossed just such a torrent before on the

trunk of a fallen tree. Hard by trees are growing. He has often moved

the trunks of fallen trees. He has also felled trees before, and then

moved them. To fell trees he has used sharp stones. He goes in search of

such a stone, and as the old situations that crowd into his memory and

are held there in living reality by the definite powerful interest which

he has in crossing just this torrent,--as these impressions are made to

pass before his mind in the _inverse order_ in which they were here

evoked, he invents the bridge.

There can be no doubt but the higher vertebrates adapt their actions in

some moderate degree to circumstances. The fact that they give no

appreciable evidence of advance by the accumulation of inventions, is

satisfactorily explained by a difference of degree or intensity of

intelligence as compared with man; the assumption of a difference of

kind is not necessary. A person who saves a little every day, be it ever

so little, has an incalculable advantage over him who daily squanders

that amount, or is unable to keep what he has accumulated. A slight

quantitative difference in such things explains enormous differences of

advancement.

The rules which hold good in prehistoric times also hold good in

historical times, and the remarks made on invention may be applied

almost without modification to discovery; for the two are distinguished

solely by the use to which the new knowledge is put. In both cases the

investigator is concerned with some _newly observed_ relation of new or

old properties, abstract or concrete. It is observed, for example, that

a substance which gives a chemical reaction _A_ is also the cause of a

chemical reaction _B_. If this observation fulfils no purpose but that

of furthering the scientist's insight, or of removing a source of

intellectual discomfort, we have a discovery; but an invention, if in

using the substance giving the reaction _A_ to produce the desired

reaction _B_, we have a practical end in view, and seek to remove a

source of material discomfort. The phrase, _disclosure of the connexion

of reactions_, is broad enough to cover discoveries and inventions in

all departments. It embraces the Pythagorean proposition, which is a

combination of a geometrical and an arithmetical reaction, Newton's

discovery of the connexion of Kepler's motions with the law of the

inverse squares, as perfectly as it does the detection of some minute

but appropriate alteration in the construction of a tool, or of some

appropriate change in the methods of a dyeing establishment.

The disclosure of new provinces of facts before unknown can only be

brought about by accidental circumstances, under which are _remarked_

facts that commonly go unnoticed. The achievement of the discoverer here

consists in his _sharpened attention_, which detects the uncommon

features of an occurrence and their determining conditions from their

most evanescent marks,[88] and discovers means of submitting them to

exact and full observation. Under this head belong the first disclosures

of electrical and magnetic phenomena, Grimaldi's observation of

interference, Arago's discovery of the increased check suffered by a

magnetic needle vibrating in a copper envelope as compared with that

observed in a bandbox, Foucault's observation of the stability of the

plane of vibration of a rod accidentally struck while rotating in a

turning-lathe, Mayer's observation of the increased redness of venous

blood in the tropics, Kirchhoff's observation of the augmentation of the

_D_-line in the solar spectrum by the interposition of a sodium lamp,

Schönbein's discovery of ozone from the phosphoric smell emitted on the

disruption of air by electric sparks, and a host of others. All these

facts, of which unquestionably many were _seen_ numbers of times before

they were _noticed_, are examples of the inauguration of momentous

discoveries by accidental circumstances, and place the importance of

strained attention in a brilliant light.

But not only is a significant part played in the beginning of an inquiry

by co-operative circumstances beyond the foresight of the investigator;

their influence is also active in its prosecution. Dufay, thus, whilst

following up the behavior of _one_ electrical state which he had

assumed, discovers the existence of _two_. Fresnel learns by accident

that the interference-bands received on ground glass are seen to better

advantage in the open air. The diffraction-phenomenon of two slits

proved to be considerably different from what Fraunhofer had

anticipated, and in following up this circumstance he was led to the

important discovery of grating-spectra. Faraday's induction-phenomenon

departed widely from the initial conception which occasioned his

experiments, and it is precisely this deviation that constitutes his

real discovery.

Every man has pondered on some subject. Every one of us can multiply the

examples cited, by less illustrious ones from his own experience. I

shall cite but one. On rounding a railway curve once, I accidentally

remarked a striking apparent inclination of the houses and trees. I

inferred that the direction of the total resultant _physical_

acceleration of the body reacts _physiologically_ as the vertical.

Afterwards, in attempting to inquire more carefully into this

phenomenon, and this only, in a large whirling machine, the collateral

phenomena conducted me to the sensation of angular acceleration,

vertigo, Flouren's experiments on the section of the semi-circular

canals etc., from which gradually resulted views relating to sensations

of direction which are also held by Breuer and Brown, which were at

first contested on all hands, but are now regarded on many sides as

correct, and which have been recently enriched by the interesting

inquiries of Breuer concerning the _macula acustica_, and Kreidel's

experiments with magnetically orientable crustacea.[89] Not disregard of

accident but a direct and purposeful employment of it advances research.

The more powerful the psychical connexion of the memory pictures

is,--and it varies with the individual and the mood,--the more apt is

the same accidental observation to be productive of results. Galileo

knows that the air has weight; he also knows of the "resistance to a

vacuum," expressed both in weight and in the height of a column of

water. But the two ideas dwelt asunder in his mind. It remained for

Torricelli to vary the specific gravity of the liquid measuring the

pressure, and not till then was the air included in the list of

pressure-exerting fluids. The reversal of the lines of the spectrum was

seen repeatedly before Kirchhoff, and had been mechanically explained.

But it was left for his penetrating vision to discern the evidence of

the connexion of this phenomenon with questions of heat, and to him

alone through persistent labor was revealed the sweeping significance of

the fact for the mobile equilibrium of heat. Supposing, then, that such

a rich organic connexion of the elements of memory exists, and is the

prime distinguishing mark of the inquirer, next in importance certainly

is that _intense interest_ in a definite object, in a definite idea,

which fashions advantageous combinations of thought from elements before

disconnected, and obtrudes that idea into every observation made, and

into every thought formed, making it enter into relationship with all

things. Thus Bradley, deeply engrossed with the subject of aberration,

is led to its solution by an exceedingly unobtrusive experience in

crossing the Thames. It is permissible, therefore, to ask whether

accident leads the discoverer, or the discoverer accident, to a

successful outcome in scientific quests.

No man should dream of solving a great problem unless he is so

thoroughly saturated with his subject that everything else sinks into

comparative insignificance. During a hurried meeting with Mayer in

Heidelberg once, Jolly remarked, with a rather dubious implication, that

if Mayer's theory were correct water could be warmed by shaking. Mayer

went away without a word of reply. Several weeks later, and now

unrecognised by Jolly, he rushed into the latter's presence exclaiming:

"Es ischt aso!" (It is so, it is so!) It was only after considerable

explanation that Jolly found out what Mayer wanted to say. The incident

needs no comment.[90]

A person deadened to sensory impressions and given up solely to the

pursuit of his own thoughts, may also light on an idea that will divert

his mental activity into totally new channels. In such cases it is a

psychical accident, an intellectual experience, as distinguished from a

physical accident, to which the person owes his discovery--a discovery

which is here made "deductively" by means of mental copies of the world,

instead of experimentally. _Purely_ experimental inquiry, moreover, does

not exist, for, as Gauss says, virtually we always experiment with our

thoughts. And it is precisely that constant, corrective interchange or

intimate union of experiment and deduction, as it was cultivated by

Galileo in his _Dialogues_ and by Newton in his _Optics_, that is the

foundation of the benign fruitfulness of modern scientific inquiry as

contrasted with that of antiquity, where observation and reflexion

ofttimes pursued their respective courses like two strangers.

We have to wait for the appearance of a favorable physical accident. The

movement of our thoughts obeys the law of association. In the case of

meagre experience the result of this law is simply the mechanical

reproduction of definite sensory experiences. On the other hand, if the

psychical life is subjected to the incessant influences of a powerful

and rich experience, then every representative element in the mind is

connected with so many others that the actual and natural course of the

thoughts is easily influenced and determined by insignificant

circumstances, which accidentally are decisive. Hereupon, the process

termed imagination produces its protean and infinitely diversified

forms. Now what can we do to guide this process, seeing that the

combinatory law of the images is without our reach? Rather let us ask,

what influence can a powerful and constantly recurring idea exert on the

movement of our thoughts? According to what has preceded, the answer is

involved in the question itself. The _idea_ dominates the thought of the

inquirer, not the latter the former.

Let us see, now, if we can acquire a profounder insight into the process

of discovery. The condition of the discoverer is, as James has aptly

remarked, not unlike the situation of a person who is trying to remember

something that he has forgotten. Both are sensible of a gap, and have

only a remote presentiment of what is missing. Suppose I meet in a

company a well-known and affable gentleman whose name I have forgotten,

and who to my horror asks to be introduced to some one. I set to work

according to Lichtenberg's rule, and run down the alphabet in search of

the initial letter of his name. A vague sympathy holds me at the letter

_G_. Tentatively I add the second letter and am arrested at _e_, and

long before I have tried the third letter _r_, the name "Gerson" sounds

sonorously upon my ear, and my anguish is gone. While taking a walk I

meet a gentleman from whom I receive a communication. On returning home,

and in attending to weightier affairs, the matter slips my mind.

Moodily, but in vain, I ransack my memory. Finally I observe that I am

going over my walk again in thought. On the street corner in question

the self-same gentleman stands before me and repeats his communication.

In this process are successively recalled to consciousness all the

percepts which were connected with the percept that was lost, and with

them, finally, that, too, is brought to light. In the first case--where

the experience had already been made and is permanently impressed on our

thought--a _systematic_ procedure is both possible and easy, for we know

that a name must be composed of a limited number of sounds. But at the

same time it should be observed that the labor involved in such a

combinatorial task would be enormous if the name were long and the

responsiveness of the mind weaker.

It is often said, and not wholly without justification, that the

scientist has solved a _riddle_. Every problem in geometry may be

clothed in the garb of a _riddle_. Thus: "What thing is that _M_ which

has the properties _A_, _B_, _C_?" "What circle is that which touches

the straight lines _A_, _B_, but touches _B_ in the point _C_?" The

first two conditions marshal before the imagination the group of circles

whose centres lie in the line of symmetry of _A_, _B_. The third

condition reminds us of all the circles having centres in the straight

line that stands at right angles to _B_ in _C_. The _common_ term, or

common terms, of the two groups of images solves the riddle--satisfies

the problem. Puzzles dealing with things or words induce similar

processes, but the memory in such cases is exerted in many directions

and more varied and less clearly ordered provinces of ideas are

surveyed. The difference between the situation of a geometer who has a

construction to make, and that of an engineer, or a scientist,

confronted with a problem, is simply this, that the first moves in a

field with which he is thoroughly acquainted, whereas the two latter are

obliged to familiarise themselves with this field subsequently, and in a

measure far transcending what is commonly required. In this process the

mechanical engineer has at least always a definite goal before him and

definite means to accomplish his aim, whilst in the case of the

scientist that aim is in many instances presented only in vague and

general outlines. Often the very formulation of the riddle devolves on

him. Frequently it is not until the aim has been reached that the

broader outlook requisite for systematic procedure is obtained. By far

the larger portion of his success, therefore, is contingent on luck and

instinct. It is immaterial, so far as its character is concerned,

whether the process in question is brought rapidly to a conclusion in

the brain of one man, or whether it is spun out for centuries in the

minds of a long succession of thinkers. The same relation that a word

solving a riddle bears to that riddle is borne by the modern conception

of light to the facts discovered by Grimaldi, Römer, Huygens, Newton,

Young, Malus, and Fresnel, and only by the help of this slowly developed

conception is our mental vision enabled to embrace the broad domain of

facts in question.

A welcome complement to the discoveries which the history of

civilisation and comparative psychology have furnished, is to be found

in the confessions of great scientists and artists. Scientists _and_

artists, we might say, for Liebig boldly declared there was no essential

difference between the two. Are we to regard Leonardo da Vinci as a

scientist or as an artist? If the artist builds up his work from a few

motives, the scientist discovers the motives which permeate reality. If

scientists like Lagrange or Fourier are in a certain measure artists in

the presentation of their results, on the other hand, artists like

Shakespeare or Ruysdael are scientists in the insight which must have

preceded their creations.

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