"I, Galileo Galilei, son of the late Vincenzo Galilei, of Florence,

aged seventy years, being brought personally to judgment, and

kneeling before you Most Eminent and Most Reverend Lords Cardinals,

General Inquisitors of the universal Christian republic against

heretical depravity, having before my eyes the Holy Gospels, which

I touch with my own hands, swear that I have always believed, and

now believe, and with the help of God will in future believe, every

article which the Holy Catholic and Apostolic Church of Rome holds,

teaches, and preaches. But because I have been enjoined by this

Holy Office altogether to abandon the false opinion which maintains

that the sun is the centre and immovable, and forbidden to hold,

defend, or teach the said false doctrine in any manner, and after

it hath been signified to me that the said doctrine is repugnant

with the Holy Scripture, I have written and printed a book, in

which I treat of the same doctrine now condemned, and adduce

reasons with great force in support of the same, without giving any

solution, and therefore have been judged grievously suspected of

heresy; that is to say, that I held and believed that the sun is

the centre of the universe and is immovable, and that the earth is

not the centre and is movable; willing, therefore, to remove from

the minds of your Eminences, and of every Catholic Christian, this

vehement suspicion rightfully entertained towards me, with a

sincere heart and unfeigned faith, I abjure, curse, and detest the

said errors and heresies, and generally every other error and sect

contrary to Holy Church; and I swear that I will never more in

future say or assert anything verbally, or in writing, which may

give rise to a similar suspicion of me; but if I shall know any

heretic, or any one suspected of heresy, that I will denounce him

to this Holy Office, or to the Inquisitor or Ordinary of the place

where I may be; I swear, moreover, and promise, that I will fulfil

and observe fully, all the penances which have been or shall be

laid on me by this Holy Office. But if it shall happen that I

violate any of my said promises, oaths, and protestations (which

God avert!), I subject myself to all the pains and punishments

which have been decreed and promulgated by the sacred canons, and

other general and particular constitutions, against delinquents of

this description. So may God help me, and his Holy Gospels which I

touch with my own hands. I, the above-named Galileo Galilei, have

abjured, sworn, promised, and bound myself as above, and in witness

thereof with my own hand have subscribed this present writing of my

abjuration, which I have recited word for word. At Rome, in the

Convent of Minerva, 22nd June, 1633. I, Galileo Galilei, have

abjured as above with my own hand."

Those who believe the story about his muttering to a friend, as he rose

from his knees, "e pur si muove," do not realize the scene.

1st. There was no friend in the place.

2nd. It would have been fatally dangerous to mutter anything before such

an assemblage.

3rd. He was by this time an utterly broken and disgraced old man;

wishful, of all things, to get away and hide himself and his miseries

from the public gaze; probably with his senses deadened and stupefied by

the mental sufferings he had undergone, and no longer able to think or

care about anything--except perhaps his daughter,--certainly not about

any motion of this wretched earth.

Far and wide the news of the recantation spread. Copies of the

abjuration were immediately sent to all Universities, with instructions

to the professors to read it publicly.

At Florence, his home, it was read out in the Cathedral church, all his

friends and adherents being specially summoned to hear it.

For a short time more he was imprisoned in Rome; but at length was

permitted to depart, never more of his own will to return.

He was allowed to go to Siena. Here his daughter wrote consolingly,

rejoicing at his escape, and saying how joyfully she already recited the

penitential psalms for him, and so relieved him of that part of his

sentence.

But the poor girl was herself, by this time, ill--thoroughly worn out

with anxiety and terror; she lay, in fact, on what proved to be her

death-bed. Her one wish was to see her dearest lord and father, so she

calls him, once more. The wish was granted. His prison was changed, by

orders from Rome, from Siena to Arcetri, and once more father and

daughter embraced. Six days after this she died.

The broken-hearted old man now asks for permission to go to live in

Florence, but is met with the stern answer that he is to stay at

Arcetri, is not to go out of the house, is not to receive visitors, and

that if he asks for more favours, or transgresses the commands laid upon

him, he is liable to be haled back to Rome and cast into a dungeon.

These harsh measures were dictated, not by cruelty, but by the fear of

his still spreading heresy by conversation, and so he was to be kept

isolated.

Idle, however, he was not and could not be. He often complains that his

head is too busy for his body. In the enforced solitude of Arcetri he

was composing those dialogues on motion which are now reckoned his

greatest and most solid achievement. In these the true laws of motion

are set forth for the first time (see page 167). One more astronomical

discovery also he was to make--that of the moon's libration.

And then there came one more crushing blow. His eyes became inflamed and

painful--the sight of one of them failed, the other soon went; he

became totally blind. But this, being a heaven-sent infliction, he could

bear with resignation, though it must have been keenly painful to a

solitary man of his activity. "Alas!" says he, in one of his letters,

"your dear friend and servant is totally blind. Henceforth this heaven,

this universe, which by wonderful observations I had enlarged a hundred

and a thousand times beyond the conception of former ages, is shrunk for

me into the narrow space which I myself fill in it. So it pleases God;

it shall therefore please me also."

He was now allowed an amanuensis, and the help of his pupils Torricelli,

Castelli, and Viviani, all devotedly attached to him, and Torricelli

very famous after him. Visitors also were permitted, after approval by a

Jesuit supervisor; and under these circumstances many visited him, among

them a man as immortal as himself--John Milton, then only twenty-nine,

travelling in Italy. Surely a pathetic incident, this meeting of these

two great men--the one already blind, the other destined to become so.

No wonder that, as in his old age he dictated his masterpiece, the

thoughts of the English poet should run on the blind sage of Tuscany,

and the reminiscence of their conversation should lend colour to the

poem.

Well, it were tedious to follow the petty annoyances and troubles to

which Galileo was still subject--how his own son was set to see that no

unauthorized procedure took place, and that no heretic visitors were

admitted; how it was impossible to get his new book printed till long

afterwards; and how one form of illness after another took possession of

him. The merciful end came at last, and at the age of seventy-eight he

was released from the Inquisition.

They wanted to deny him burial--they did deny him a monument; they

threatened to cart his bones away from Florence if his friends attempted

one. And so they hoped that he and his work might be forgotten.

Poor schemers! Before the year was out an infant was born in

Lincolnshire, whose destiny it was to round and complete and carry

forward the work of their victim, so that, until man shall cease from

the planet, neither the work nor its author shall have need of a

monument.

* * * * *

Here might I end, were it not that the same kind of struggle as went on

fiercely in the seventeenth century is still smouldering even now. Not

in astronomy indeed, as then; nor yet in geology, as some fifty years

ago; but in biology mainly--perhaps in other subjects. I myself have

heard Charles Darwin spoken of as an atheist and an infidel, the theory

of evolution assailed as unscriptural, and the doctrine of the ascent of

man from a lower state of being, as opposed to the fall of man from some

higher condition, denied as impious and un-Christian.

Men will not learn by the past; still they brandish their feeble weapons

against the truths of Nature, as if assertions one way or another could

alter fact, or make the thing other than it really is. As Galileo said

before his spirit was broken, "In these and other positions certainly no

man doubts but His Holiness the Pope hath always an absolute power of

admitting or condemning them; but it is not in the power of any creature

to make them to be true or false, or otherwise than of their own nature

and in fact they are."

I know nothing of the views of any here present; but I have met educated

persons who, while they might laugh at the men who refused to look

through a telescope lest they should learn something they did not like,

yet also themselves commit the very same folly. I have met persons who

utterly refuse to listen to any view concerning the origin of man other

than that of a perfect primaeval pair in a garden, and I am constrained

to say this much: Take heed lest some prophet, after having excited your

indignation at the follies and bigotry of a bygone generation, does not

turn upon you with the sentence, "Thou art the man."

SUMMARY OF FACTS FOR LECTURE VI

_Science before Newton_

_Dr. Gilbert_, of Colchester, Physician to Queen Elizabeth, was an

excellent experimenter, and made many discoveries in magnetism and

electricity. He was contemporary with Tycho Brahe, and lived from 1540

to 1603.

_Francis Bacon_, Lord Verulam, 1561-1626, though a brilliant writer, is

not specially important as regards science. He was not a scientific man,

and his rules for making discoveries, or methods of induction, have

never been consciously, nor often indeed unconsciously, followed by

discoverers. They are not in fact practical rules at all, though they

were so intended. His really strong doctrines are that phenomena must be

studied direct, and that variations in the ordinary course of nature

must be induced by aid of experiment; but he lacked the scientific

instinct for pursuing these great truths into detail and special cases.

He sneered at the work and methods of both Gilbert and Galileo, and

rejected the Copernican theory as absurd. His literary gifts have

conferred on him an artificially high scientific reputation, especially

in England; at the same time his writings undoubtedly helped to make

popular the idea of there being new methods for investigating Nature,

and, by insisting on the necessity for freedom from preconceived ideas

and opinions, they did much to release men from the bondage of

Aristotelian authority and scholastic tradition.

The greatest name between Galileo and Newton is that of Descartes.

_Rene Descartes_ was born at La Haye in Touraine, 1596, and died at

Stockholm in 1650. He did important work in mathematics, physics,

anatomy, and philosophy. Was greatest as a philosopher and

mathematician. At the age of twenty-one he served as a volunteer under

Prince Maurice of Nassau, but spent most of his later life in Holland.

His famous _Discourse on Method_ appeared at Leyden in 1637, and his

_Principia_ at Amsterdam in 1644; great pains being taken to avoid the

condemnation of the Church.

Descartes's main scientific achievement was the application of algebra

to geometry; his most famous speculation was the "theory of vortices,"

invented to account for the motion of planets. He also made many

discoveries in optics and physiology. His best known immediate pupils

were the Princess Elizabeth of Bohemia, and Christina, Queen of Sweden.

He founded a distinct school of thought (the Cartesian), and was the

precursor of the modern mathematical method of investigating science,

just as Galileo and Gilbert were the originators of the modern

experimental method.

LECTURE VI

DESCARTES AND HIS THEORY OF VORTICES

After the dramatic life we have been considering in the last two

lectures, it is well to have a breathing space, to look round on what

has been accomplished, and to review the state of scientific thought,

before proceeding to the next great era. For we are still in the early

morning of scientific discovery: the dawn of the modern period, faintly

heralded by Copernicus, brought nearer by the work of Tycho and Kepler,

and introduced by the discoveries of Galileo--the dawn has occurred, but

the sun is not yet visible. It is hidden by the clouds and mists of the

long night of ignorance and prejudice. The light is sufficient, indeed,

to render these earth-born vapours more visible: it is not sufficient to

dispel them. A generation of slow and doubtful progress must pass,

before the first ray of sunlight can break through the eastern clouds

and the full orb of day itself appear.

It is this period of hesitating progress and slow leavening of men's

ideas that we have to pass through in this week's lecture. It always

happens thus: the assimilation of great and new ideas is always a slow

and gradual process: there is no haste either here or in any other

department of Nature. _Die Zeit ist unendlich lang._ Steadily the forces

work, sometimes seeming to accomplish nothing; sometimes even the

motion appears retrograde; but in the long run the destined end is

reached, and the course, whether of a planet or of men's thoughts about

the universe, is permanently altered. Then, the controversy was about

the _earth's_ place in the universe; now, if there be any controversy of

the same kind, it is about _man's_ place in the universe; but the

process is the same: a startling statement by a great genius or prophet,

general disbelief, and, it may be, an attitude of hostility, gradual

acceptance by a few, slow spreading among the many, ending in universal

acceptance and faith often as unquestioning and unreasoning as the old

state of unfaith had been. Now the process is comparatively speedy:

twenty years accomplishes a great deal: then it was tediously slow, and

a century seemed to accomplish very little. Periodical literature may be

responsible for some waste of time, but it certainly assists the rapid

spread of ideas. The rate with which ideas are assimilated by the

general public cannot even now be considered excessive, but how much

faster it is than it was a few centuries ago may be illustrated by the

attitude of the public to Darwinism now, twenty-five years after _The

Origin of Species_, as compared with their attitude to the Copernican

system a century after _De Revolutionibus_. By the way, it is, I know,

presumptuous for me to have an opinion, but I cannot hear Darwin

compared to or mentioned along with Newton without a shudder. The stage

in which he found biology seems to me far more comparable with the

Ptolemaic era in astronomy, and he himself to be quite fairly comparable

to Copernicus.

Let us proceed to summarize the stage at which the human race had

arrived at the epoch with which we are now dealing.

The Copernican view of the solar system had been stated, restated,

fought, and insisted on; a chain of brilliant telescopic discoveries had

made it popular and accessible to all men of any intelligence:

henceforth it must be left to slowly percolate and sink into the minds

of the people. For the nations were waking up now, and were accessible

to new ideas. England especially was, in some sort, at the zenith of its

glory; or, if not at the zenith, was in that full flush of youth and

expectation and hope which is stronger and more prolific of great deeds

and thoughts than a maturer period.

A common cause against a common and detested enemy had roused in the

hearts of Englishmen a passion of enthusiasm and patriotism; so that the

mean elements of trade, their cheating yard-wands, were forgotten for a

time; the Armada was defeated, and the nation's true and conscious adult

life began. Commerce was now no mere struggle for profit and hard

bargains; it was full of the spirit of adventure and discovery; a new

world had been opened up; who could tell what more remained unexplored?

Men awoke to the splendour of their inheritance, and away sailed Drake

and Frobisher and Raleigh into the lands of the West.

For literature, you know what a time it was. The author of _Hamlet_ and

_Othello_ was alive: it is needless to say more. And what about science?

The atmosphere of science is a more quiet and less stirring one; it

thrives best when the fever of excitement is allayed; it is necessarily

a later growth than literature. Already, however, our second great man

of science was at work in a quiet country town--second in point of time,

I mean, Roger Bacon being the first. Dr. Gilbert, of Colchester, was the

second in point of time, and the age was ripening for the time when

England was to be honoured with such a galaxy of scientific

luminaries--Hooke and Boyle and Newton--as the world had not yet known.

Yes, the nations were awake. "In all directions," as Draper says,

"Nature was investigated: in all directions new methods of examination

were yielding unexpected and beautiful results. On the ruins of its

ivy-grown cathedrals Ecclesiasticism [or Scholasticism], surprised and

blinded by the breaking day, sat solemnly blinking at the light and life

about it, absorbed in the recollection of the night that had passed,

dreaming of new phantoms and delusions in its wished-for return, and

vindictively striking its talons at any derisive assailant who

incautiously approached too near."

Of the work of Gilbert there is much to say; so there is also of Roger

Bacon, whose life I am by no means sure I did right in omitting. But

neither of them had much to do with astronomy, and since it is in

astronomy that the most startling progress was during these centuries

being made, I have judged it wiser to adhere mainly to the pioneers in

this particular department.

Only for this reason do I pass Gilbert with but slight mention. He knew

of the Copernican theory and thoroughly accepted it (it is convenient to

speak of it as the Copernican theory, though you know that it had been

considerably improved in detail since the first crude statement by

Copernicus), but he made in it no changes. He was a cultivated

scientific man, and an acute experimental philosopher; his main work lay

in the domain of magnetism and electricity. The phenomena connected with

the mariner's compass had been studied somewhat by Roger Bacon; and they

were now examined still more thoroughly by Gilbert, whose treatise _De

Magnete_, marks the beginning of the science of magnetism.

As an appendix to that work he studied the phenomenon of amber, which

had been mentioned by Thales. He resuscitated this little fact after its

burial of 2,200 years, and greatly extended it. He it was who invented

the name electricity--I wish it had been a shorter one. Mankind invents

names much better than do philosophers. What can be better than "heat,"

"light," "sound"? How favourably they compare with electricity,

magnetism, galvanism, electro-magnetism, and magneto-electricity! The

only long-established monosyllabic name I know invented by a philosopher

is "gas"--an excellent attempt, which ought to be imitated.[12]

Of Lord Bacon, who flourished about the same time (a little later), it

is necessary to say something, because many persons are under the

impression that to him and his _Novum Organon_ the reawakening of the

world, and the overthrow of Aristotelian tradition, are mainly due. His

influence, however, has been exaggerated. I am not going to enter into a

discussion of the _Novum Organon_, and the mechanical methods which he

propounded as certain to evolve truth if patiently pursued; for this is

what he thought he was doing--giving to the world an infallible recipe

for discovering truth, with which any ordinarily industrious man could

make discoveries by means of collection and discrimination of instances.

You will take my statement for what it is worth, but I assert this: that

many of the methods which Bacon lays down are not those which the

experience of mankind has found to be serviceable; nor are they such as

a scientific man would have thought of devising.

True it is that a real love and faculty for science are born in a man,

and that to the man of scientific capacity rules of procedure are

unnecessary; his own intuition is sufficient, or he has mistaken his

vocation,--but that is not my point. It is not that Bacon's methods are

useless because the best men do not need them; if they had been founded

on a careful study of the methods actually employed, though it might be

unconsciously employed, by scientific men--as the methods of induction,

stated long after by John Stuart Mill, were founded--then, no doubt,

their statement would have been a valuable service and a great thing to

accomplish. But they were not this. They are the ideas of a brilliant

man of letters, writing in an age when scientific research was almost

unknown, about a subject in which he was an amateur. I confess I do not

see how he, or John Stuart Mill, or any one else, writing in that age,

could have formulated the true rules of philosophizing; because the

materials and information were scarcely to hand. Science and its methods

were only beginning to grow. No doubt it was a brilliant attempt. No

doubt also there are many good and true points in the statement,

especially in his insistence on the attitude of free and open candour

with which the investigation of Nature should be approached. No doubt

there was much beauty in his allegories of the errors into which men

were apt to fall--the _idola_ of the market-place, of the tribe, of the

theatre, and of the den; but all this is literature, and on the solid

progress of science may be said to have had little or no effect.

Descartes's _Discourse on Method_ was a much more solid production.

You will understand that I speak of Bacon purely as a scientific man. As

a man of letters, as a lawyer, a man of the world, and a statesman, he

is beyond any criticism of mine. I speak only of the purely scientific

aspect of the _Novum Organon_. _The Essays_ and _The Advancement of

Learning_ are masterly productions; and as a literary man he takes high

rank.

The over-praise which, in the British Isles, has been lavished upon his

scientific importance is being followed abroad by what may be an

unnecessary amount of detraction. This is always the worst of setting up

a man on too high a pinnacle; some one has to undertake the ungrateful

task of pulling him down again. Justus von Liebig addressed himself to

this task with some vigour in his _Reden und Abhandlung_ (Leipzig,

1874), where he quotes from Bacon a number of suggestions for absurd

experimentation.[13]

The next paragraph I read, not because I endorse it, but because it is

always well to hear both sides of a question. You have probably been

long accustomed to read over-estimates of Bacon's importance, and

extravagant laudation of his writings as making an epoch in science;

hear what Draper says on the opposite side:--[14]

"The more closely we examine the writings of Lord Bacon, the more

unworthy does he seem to have been of the great reputation which

has been awarded to him. The popular delusion to which he owes so

much originated at a time when the history of science was unknown.

They who first brought him into notice knew nothing of the old

school of Alexandria. This boasted founder of a new philosophy

could not comprehend, and would not accept, the greatest of all

scientific doctrines when it was plainly set before his eyes.

"It has been represented that the invention of the true method of

physical science was an amusement of Bacon's hours of relaxation

from the more laborious studies of law, and duties of a Court.

"His chief admirers have been persons of a literary turn, who have

an idea that scientific discoveries are accomplished by a

mechanico-mental operation. Bacon never produced any great

practical result himself, no great physicist has ever made any use

of his method. He has had the same to do with the development of

modern science that the inventor of the orrery has had to do with

the discovery of the mechanism of the world. Of all the important

physical discoveries, there is not one which shows that its author

made it by the Baconian instrument.

"Newton never seems to have been aware that he was under any

obligation to Bacon. Archimedes, and the Alexandrians, and the

Arabians, and Leonardo da Vinci did very well before he was born;

the discovery of America by Columbus and the circumnavigation by

Magellan can hardly be attributed to him, yet they were the

consequences of a truly philosophical reasoning. But the

investigation of Nature is an affair of genius, not of rules. No

man can invent an _organon_ for writing tragedies and epic poems.

Bacon's system is, in its own terms, an idol of the theatre. It

would scarcely guide a man to a solution of the riddle of AElia

Laelia Crispis, or to that of the charade of Sir Hilary.

"Few scientific pretenders have made more mistakes than Lord Bacon.

He rejected the Copernican system, and spoke insolently of its

great author; he undertook to criticize adversely Gilbert's

treatise _De Magnete_; he was occupied in the condemnation of any

investigation of final causes, while Harvey was deducing the

circulation of the blood from Aquapendente's discovery of the

valves in the veins; he was doubtful whether instruments were of

any advantage, while Galileo was investigating the heavens with the

telescope. Ignorant himself of every branch of mathematics, he

presumed that they were useless in science but a few years before

Newton achieved by their aid his immortal discoveries.

"It is time that the sacred name of philosophy should be severed

from its long connection with that of one who was a pretender in

science, a time-serving politician, an insidious lawyer, a corrupt

judge, a treacherous friend, a bad man."

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