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Galileo Galilei
1564 - 1642

The Italian scientist Galileo Galilei is renowned for his
epoch-making contributions to astronomy, physics, and scientific
philosophy.
Galileo was born in Pisa on Feb. 15, 1564, the first child of
Vincenzio Galilei, a merchant and musician and an abrasive
champion of advanced musical theories of the day. The family
moved to Florence in 1574, and that year Galileo started his
formal education in the nearby monastery of Vallombrosa. Seven
years later he matriculated as a student of medicine at the
University of Pisa.
In 1583, while Galileo was at home on vacation, he began to
study mathematics and the physical sciences. His zeal astonished
Ostilio Ricci, a family friend and professor at the Academy of
Design. Ricci was a student of Nicolò Tartaglia, the famed
algebraist and translator into Latin of several of Archimedes'
works. Galileo's life-long admiration for Archimedes started,
therefore, as his scientific studies got under way.
Galileo's new interest brought to an end his medical studies,
but in Pisa at that time there was only one notable science
teacher, Francisco Buonamico, and he was an Aristotelian.
Galileo seems, however, to have been an eager disciple of his,
as shown by Galileo's Juvenilia, dating from 1584, mostly
paraphrases of Aristotelian physics and cosmology. Because of
financial difficulties Galileo had to leave the University of
Pisa in 1585 before he got his degree.
Early Work
Back in Florence, Galileo spent 3 years vainly searching for a
suitable teaching position. He was more successful in furthering
his grasp of mathematics and physics. He produced two treatises
which, although circulated in manuscript form only, made his
name well known. One was La bilancetta (The Little Balance),
describing the hydrostatic principles of balancing; the other
was a study on the center of gravity of various solids. These
topics, obviously demanding a geometrical approach, were not the
only evidence of his devotion to geometry and Archimedes. In a
lecture given in 1588 before the Florentine Academy on the
topography of Dante's Inferno, Galileo seized on details that
readily lent themselves to a display of his prowess in geometry.
He showed himself a perfect master both of the poet's text and
of the incisiveness and sweep of geometrical lore.
Galileo's rising reputation as a mathematician and natural
philosopher (physicist) gained him a teaching post at the
University of Pisa in 1589. The 3 years he spent there are
memorable for two things. First, he became exposed through
reading a work of Giovanni Battista Benedetti to the "Parisian
tradition" of physics, which originated during the 14th century
with the speculations of Jean Buridan and Nicole Oresme at the
University of Paris. This meant the breakaway point in Galileo's
thought from Aristotelian physics and the start of his
preoccupation with a truly satisfactory formulation of the
impetus theory. Second, right at the beginning of his academic
career, he showed himself an eager participant in disputes and
controversies. With biting sarcasm he lampooned the custom of
wearing academic gowns. The most he was willing to condone was
the use of ordinary clothes, but only after pointing out that
the best thing was to go naked.
The death of Galileo's father in 1591 put on his shoulders the
care of his mother, brothers, and sisters. He had to look for a
better position, which he found in 1592 at the University of
Padua, part of the Venetian Republic. The 18 years he spent
there were, according to his own admission, the happiest of his
life. He often visited Venice and made many influential friends,
among them Giovanfrancesco Sagredo, whom he later immortalized
in the Dialogue as the representative of judiciousness and good
sense.
In 1604 Galileo publicly declared that he was a Copernican. In
three public lectures given in Venice, before an overflow
audience, he argued that the new star which appeared earlier
that year was major evidence in support of the doctrine of
Copernicus. (Actually the new star merely proved that there was
something seriously wrong with the Aristotelian doctrine of the
heavens.) More important was a letter Galileo wrote that year to
Father Paolo Sarpi, in which he stated that "the distances
covered in natural motion are proportional to the squares of the
number of time intervals, and therefore, the distances covered
in equal times are as the odd numbers beginning from one." By
natural motion, Galileo meant the unimpeded fall of a body, and
what he proposed was the law of free fall, later written as s =
1/2 (gt2), where s is distance, t is time, and g is the
acceleration due to gravity at sea level.
In 1606 came the publication of The Operations of the
Geometrical and Military Compass, which reveals the
experimentalist and craftsman in Galileo. In this booklet he
went overboard in defending his originality against charges from
rather insignificant sources. It was craftsmanship, not
theorizing, which put the crowning touch on his stay in Padua.
In mid-1609 he learned about the success of some Dutch spectacle
makers in combining lenses into what later came to be called a
telescope. He feverishly set to work, and on August 25 he
presented to the Venetian Senate a telescope as his own
invention. The success was tremendous. He obtained a lifelong
contract at the University of Padua, but he also stirred up just
resentment when it was learned that he was not the original
inventor.
Astronomical Works
Galileo's success in making a workable and sufficiently powerful
telescope with a magnifying power of about 40 was due to
intuition rather than to rigorous reasoning in optics. It was
also the intuitive stroke of a genius that made him turn the
telescope toward the sky sometime in the fall of 1609, a feat
which a dozen other people could very well have done during the
previous 4 to 5 years. Science had few luckier moments. Within a
few months he gathered astonishing evidence about mountains on
the moon, about moons circling Jupiter, and about an incredibly
large number of stars, especially in the belt of the Milky Way.
On March 12, 1610, all these sensational items were printed in
Venice under the title Sidereus nuncius (The Starry Messenger),
a booklet which took the world of science by storm. The view of
the heavens drastically changed, and so did Galileo's life.
Historians agree that Galileo's decision to secure for himself
the position of court mathematician in Florence at the court of
Cosimo II (the job also included the casting of horoscopes for
his princely patron) reveals a heavy strain of selfishness in
his character. He wanted nothing, not even a modest amount of
teaching, to impede him in pursuing his ambition to become the
founder of new physics and new astronomy. In 1610 he left behind
in Padua his common-law wife, Marina Gamba, and his young son,
Vincenzio, and placed his two daughters, aged 12 and 13, in the
convent of S. Matteo in Arcetri. The older, Sister Maria Celeste
as nun, was later a great comfort to her father.
Galileo's move to Florence turned out to be highly unwise, as
events soon showed. In the beginning, however, everything was
pure bliss. He made a triumphal visit to Rome in 1611. The next
year saw the publication of his Discourse on Bodies in Water.
There he disclosed his discovery of the phases of Venus (a most
important proof of the truth of the Copernican theory), but the
work was also the source of heated controversies. In 1613
Galileo published his observations of sunspots, which embroiled
him for many years in bitter disputes with the German Jesuit
Christopher Scheiner of the University of Ingolstadt, whose
observations of sunspots had already been published in January
1612 under the pseudonym Apelles.
First Condemnation
But Galileo's real aim was to make a sweeping account of the
Copernican universe and of the new physics it necessitated. A
major obstacle was the generally shared, though officially never
sanctioned, belief that the biblical revelation imposed
geocentrism in general and the motionlessness of the earth in
particular. To counter the scriptural difficulties, he waded
deep into theology. With the help of some enlightened
ecclesiastics, such as Monsignor Piero Dini and Father Benedetto
Castelli, a Benedictine from Monte Cassino and his best
scientific pupil, Galileo produced essays in the form of
letters, which now rank among the best writings of biblical
theology of those times. As the letters (the longest one was
addressed to Grand Duchess Christina of Tuscany) circulated
widely, a confrontation with the Church authorities became
inevitable. The disciplinary instruction handed down in 1616 by
Cardinal Robert Bellarmine forbade Galileo to "hold, teach and
defend in any manner whatsoever, in words or in print" the
Copernican doctrine of the motion of the earth.
Galileo knew, of course, both the force and the limits of what
in substance was a disciplinary measure. It could be reversed,
and he eagerly looked for any evidence indicating precisely
that. He obeyed partly out of prudence, partly because he
remained to the end a devout and loyal Catholic. Although his
yearning for fame was powerful, there can be no doubt about the
sincerity of his often-voiced claim that by his advocacy of
Copernicanism he wanted to serve the long-range interest of the
Church in a world of science. The first favorable sign came in
1620, when Cardinal Maffeo Barberini composed a poem in honor of
Galileo. Three years later the cardinal became Pope Urban VIII.
How encouraged Galileo must have felt can be seen from the fact
that he dedicated to the new pope his freshly composed Assayer,
one of the finest pieces of polemics ever produced in the
philosophy of science.
The next year Galileo had six audiences with Urban VIII, who
promised a pension for Galileo's son, Vincenzio, but gave
Galileo no firm assurance about changing the injunction of 1616.
But before departing for Florence, Galileo was informed that the
Pope had remarked that "the Holy Church had never, and would
never, condemn it [Copernicanism] as heretical but only as rash,
though there was no danger that anyone would ever demonstrate it
to be necessarily true." This was more than enough to give
Galileo the necessary encouragement to go ahead with the great
undertaking of his life.
The Dialogue
Galileo spent 6 years writing his Dialogue concerning the Two
Chief World Systems. When the final manuscript copy was being
made in March 1630, Father Castelli dispatched the news to
Galileo that Urban VIII insisted in a private conversation with
him that, had he been the pope in 1616, the censuring of
Copernicanism would have never taken place. Galileo also learned
about the benevolent attitude of the Pope's official theologian,
Father Nicolò Riccardi, Master of the Sacred Palace. The book
was published with ecclesiastical approbation on Feb. 21, 1632.
Its contents are easy to summarize, as its four main topics are
discussed in dialogue form on four consecutive days. Of the
three interlocutors, Simplicius represented Aristotle, Salviati
was Galileo's spokesman, and Sagredo played the role of the
judicious arbiter leaning heavily toward Galileo. The First Day
is devoted to the criticism of the alleged perfection of the
universe and especially of its superlunary region, as claimed by
Aristotle. Here Galileo made ample use of his discovery of the
"imperfections" of the moon, namely, of its rugged surface
revealed by the telescope. The Second Day is a discussion of the
advantages of the rotation of the earth on its axis for the
explanation of various celestial phenomena. During the Third Day
the orbital motion of the earth around the sun is debated, the
principal issues being the parallax of stars and the undisturbed
state of affairs on the surface of the earth in spite of its
double motion. In this connection Galileo gave the most detailed
account of his ideas of the relativity of motion and of the
inertial motion. Bafflingly enough, he came to contradict his
best-posited principles when he offered during the Fourth Day
the tides as proof of the earth's twofold motion. The
inconsistencies and arbitrariness that characterize his
discourse there could not help undermine an otherwise
magnificent effort presented in a most attractive style.
Second Condemnation
The Dialogue certainly proved that for all his rhetorical
provisos Galileo held, taught, and defended the doctrine of
Copernicus. It did not help Galileo either that he put into the
mouth of the discredited Simplicius an argument which was a
favorite with Urban VIII. Galileo was summoned to Rome to appear
before the Inquisition. Legally speaking, his prosecutors were
justified. Galileo did not speak the truth when he claimed
before his judges that he did not hold Copernicanism since the
precept was given to him in 1616 to abandon it. The justices had
their point, but it was the letter of the law, not its spirit,
that they vindicated. More importantly, they miscarried justice,
aborted philosophical truth, and gravely compromised sound
theology. In that misguided defense of orthodoxy the only sad
solace for Galileo's supporters consisted in the fact that the
highest authority of the Church did not become implicated, as
the Catholic René Descartes, the Protestant Gottfried Wilhelm
von Leibniz, and others were quick to point out during the
coming decades.
The proceedings dragged on from the fall of 1632 to the summer
of 1633. During that time Galileo was allowed to stay at the
home of the Florentine ambassador in Rome and was detained by
the Holy Office only from June 21, the day preceding his
abjuration, until the end of the month. He was never subjected
to physical coercion. However, he had to inflict the supreme
torture upon himself by abjuring the doctrine that the earth
moved. One hundred years later a writer with vivid imagination
dramatized the event by claiming that following his abjuration
Galileo muttered the words "Eppur si muove (And yet it does
move)."
On his way back to Florence, Galileo enjoyed the hospitality of
the archbishop of Siena for some 5 months and then received
permission in December to live in his own villa at Arcetri. He
was not supposed to have any visitors, but this injunction was
not obeyed. Nor was ecclesiastical prohibition a serious
obstacle to the printing of his works outside Italy. In 1634
Father Marin Mersenne published in French translation a
manuscript of Galileo on mechanics composed during his Paduan
period. In Holland the Elzeviers brought out his Dialogue in
Latin in 1635 and shortly afterward his great theological letter
to Grand Duchess Christina. But the most important event in this
connection took place in 1638, when Galileo's Two New Sciences
saw print in Leiden.
Two New Sciences
The first draft of the work went back to Galileo's professorship
at Padua. But cosmology replaced pure physics as the center of
his attention until 1633. His condemnation was in a sense a gain
for physics. He had no sooner regained his composure in Siena
than he was at work preparing for publication old,
long-neglected manuscripts. The Two New Sciences, like the
Dialogue, is in the dialogue form and the discussions are
divided into Four Days. The First Day is largely taken up with
the mechanical resistance of materials, with ample allowance for
speculations on the atomic constitution of matter. There are
also long discussions on the question of vacuum and on the
isochronism of the vibrations of pendulums. During the Second
Day all these and other topics, among them the properties of
levers, are discussed in a strictly mathematical manner, in an
almost positivist spirit, with no attention being given to
"underlying causes." Equally "dry" and mathematical is the
analysis of uniform and accelerated motion during the Third Day,
and the same holds true of the topic of the Fourth Day, the
analysis of projectile motion. There Galileo proved that the
longest shot occurred when the cannon was set at an angle of 45
degrees. He arrived at this result by recognizing that the
motions of the cannonball in the vertical and in the horizontal
directions "can combine without changing, disturbing or impeding
each other" into a parabolic path.
Galileo found the justification for such a geometrical analysis
of motion partly because it led to a striking correspondence
with factual data. More importantly, he believed that the
universe was structured along the patterns of geometry. In 1604
he could have had experimental verification of the law of free
fall, which he derived on a purely theoretical basis, but it is
not known that he sought at that time such an experimental
proof. He was a Christian Platonist as far as scientific method
was concerned. This is why he praised Copernicus repeatedly in
the Dialogue for his belief in the voice of reason, although it
contradicted sense experience. Such a faith rested on the
conviction that the world was a product of a personal, rational
Creator who disposed everything according to weight, measure,
and number.
This biblically inspired faith was stated by Galileo most
eloquently in the closing pages of the First Day of the
Dialogue. There he described the human mind as the most
excellent product of the Creator, precisely because it could
recognize mathematical truths. This faith is possibly the most
precious bequest of the great Florentine, who spent his last
years partially blind. His disciple Vincenzio Viviani sensed
this well as he described the last hours of Galileo: "On the
night of Jan. 8, 1642, with philosophical and Christian firmness
he rendered up his soul to its Creator, sending it, as he liked
to believe, to enjoy and to watch from a closer vantage point
those eternal and immutable marvels which he, by means of a
fragile device, had brought closer to our mortal eyes with such
eagerness and impatience."
~~~<"((((((><~~~<"((((((><~~~<"((((((><~~~<"((((((><~~~<"((((((><~~~
Galileo
Galilei, (February 15, 1564 - January 8, 1642) was an Italian
philosopher, physicist and astronomer. He has been called the
father of modern astronomy, and along with Bacon was one of the
pioneers of the scientific method. He was born in Pisa.
Scientific achievements
Galileo was one of the first people to use a telescope to
observe the sky. He acquired a 10x telescope and promptly made
an improved 20x one. He published his initial telescopic
observations in March 1610 in a short treatise entitled Sidereus
Nuncius (Sidereal Messenger). Galileo discovered the four
largest satellites of Jupiter. He also observed that the planet
Venus exhibited a full set of "phases" like the Moon. Both of
these discoveries lent support to the heliocentric model of the
solar system developed by Copernicus. Galileo was able to see
lunar mountains, sunspots, and a "mass of innumerable stars".
He was the first westerner to report sunspots (there is evidence
that Chinese astronomers had already observed them). He also
argued from the occultation of stars (visible only through a
telescope) that the Moon is not a perfect sphere.
His experimental work in dynamics paved the way for Kepler's and
Newton's laws of motion, and he is often credited with being one
of the first scientists to fully exploit the experimental method
and to insist on a mathematical description of the laws of
nature. His study of balls rolling down inclined planes
convinced him that falling objects are accelerated independent
of their mass, and that objects retain their velocity unless a
force acts on them.
Galileo also described that a pendulum's swings always take the
same amount of time, independent of the amplitude, a discovery
which made later precise clocks possible.
In the early 1600s, Galileo and an assistant tried to measure
the speed of light. They stood on different hilltops, each
holding a shuttered lantern. Galileo would open the shutter; as
soon as his assistant saw the flash, he would open his lantern.
Galileo concluded that the speed of light is too high to be
measured by human reactions.
Galileo wrote several long books which were circulated widely,
at least outside of Italy, although several of Galileo's
inventions exist today only in his notes and drawings. He
created sketches of imaginary devices such as a candle and
mirror combination to reflect light through an entire home, an
automatic tomato picker, a pocket comb that doubled as an eating
utensil, and what appeared to be a crude form of ballpoint pen.
Church Controversy
Galileo was a devout Catholic, yet his writings on the
Copernican model of the Universe (incorporating a heliocentric,
or sun-centered solar system) disturbed the Church, which held
to an Earth-centered theory of the Universe. Church fathers
argued extensively that any other view would contradict
scripture.
The geocentric model was generally accepted at the time not only
for scriptural reasons. By the time of the controversy, the
Catholic Church had in fact abandoned the Ptolemaic model for
the Tychonian model in which the Earth was at the center of the
Universe, the Sun revolved around the Earth and the other
planets revolved around the Sun. This model is geometrically
identical to the Copernican model and has the extra advantage
that it predicts no parallax of the stars. Yet, Galilei's
arguments were most fiercely fought on the religious level. The
late-nineteenth- and early twentieth century historian Andrew
Dickson White wrote from an anti-clerical perspective:
The war became more and more bitter. The Dominican Father
Caccini preached a sermon from the text, "Ye men of Galilee, why
stand ye gazing up into heaven?" and this wretched pun upon the
great astronomer's name ushered in sharper weapons; for, before
Caccini ended, he insisted that "geometry is of the devil," and
that "mathematicians should be banished as the authors of all
heresies." The Church authorities gave Caccini promotion. Father
Lorini proved that Galileo's doctrine was not only heretical but
"atheistic," and besought the Inquisition to intervene. The
Bishop of Fiesole screamed in rage against the Copernican
system, publicly insulted Galileo, and denounced him to the
Grand-Duke. The Archbishop of Pisa secretly sought to entrap
Galileo and deliver him to the Inquisition at Rome. The
Archbishop of Florence solemnly condemned the new doctrines as
unscriptural; and Paul V, while petting Galileo, and inviting
him as the greatest astronomer of the world to visit Rome, was
secretly moving the Archbishop of Pisa to pick up evidence
against the astronomer.
But by
far the most terrible champion who now appeared was Cardinal
Bellarmin, one of the greatest theologians the world has known.
He was earnest, sincere, and learned, but insisted on making
science conform to Scripture. The weapons which men of
Bellarmin's stamp used were purely theological. They held up
before the world the dreadful consequences which must result to
Christian theology were the heavenly bodies proved to revolve
about the Sun and not about the Earth. Their most tremendous
dogmatic engine was the statement that "his pretended discovery
vitiates the whole Christian plan of salvation." Father Lecazre
declared "it casts suspicion on the doctrine of the
incarnation." Others declared, "It upsets the whole basis of
theology. If the Earth is a planet, and only one among several
planets, it can not be that any such great things have been done
specially for it as the Christian doctrine teaches. If there are
other planets, since God makes nothing in vain, they must be
inhabited; but how can their inhabitants be descended from Adam?
How can they trace back their origin to Noah's ark? How can they
have been redeemed by the Saviour?" Nor was this argument
confined to the theologians of the Roman Church; Melanchthon,
Protestant as he was, had already used it in his attacks on
Copernicus and his school. In 1616 the Inquisition warned
Galileo not to hold or defend the hypothesis asserted in
Copernicus' On the Revolutions, though it has been debated
whether he was admonished not to 'teach in any way' the
heliocentric theory.
Despite his continued insistence that his work in the area was
purely theoretical, despite his strict following of the church
protocol for publication of works (which required prior
examination by church censors and subsequent permission), and
despite his close friendship with Maffeo Barberini who later
became Pope Urban VIII and presided throughout the ordeal,
Galileo was forced to recant his views repeatedly and was put
under life-long house arrest (1633-1642).
The Inquisition had rejected earlier pleas by Galilei to
postpone or relocate the trial because of his ill health. At a
meeting presided by Pope Urban VIII, the Inquisition decided to
notify Galilei that he either had to come to Rome or that he
would be arrested and brought there in chains. Galileo arrived
in Rome for his trial before the Inquisition on February 13,
1633. After two weeks in quarantine, Galilei was detained at the
comfortable residence of the Tuscan ambassador, as a favor to
the influential Grand Duke Ferdinand II de' Medici. In April
1633 he was formally interrogated by the Inquisition. He was not
imprisoned in a dungeon cell, but detained in a room in the
offices of the Inquisition for 22 days.
On June 22, 1633, the Roman Inquisition started its trial
against Galilei, who was then 69 years old and pleaded for
mercy, pointing to his "regrettable state of physical unwellness".
Threatening him with torture, imprisonment and death on the
stake, the show trial forced Galileo to "abjure, curse and
detest" his work and to promise to denounce others who held his
prior viewpoint. Galileo did everything the church requested him
to do. (The idea that he muttered Eppur si muove! - "But it
moves anyway!" - is a legend.) That the threat of torture and
death Galileo was facing was a real one had been proven by the
church in the earlier trial against Giordano Bruno, who was
burned at the stake in 1600 for holding a naturalistic view of
the Universe.
Galileo was sentenced to prison but because of his advanced age
was allowed to serve his term under house arrest at his villas
in Arcetri and Florence. Because of a painful hernia, he
requested permission to consult physicians in Florence, which
was denied by Rome, warning that further such requests would
lead to imprisonment. Under arrest, he was forced to recite
penitentiary psalms regularly, and his social contacts were
highly restricted, but he was allowed to continue his less
controversial research and publish under strict rules of
censorship. He went totally blind in 1638 (his petition to the
Inquisition to be released was rejected, but he was allowed to
move to his house in Florence where he was closer to his
physicians). His Dialogue was put on the Index librorum
prohibitorum, a black list of banned books, until 1822.
According to Andrew Dickson White and many of his colleagues,
Galileo's experiences demonstrate a classic case of a scholar
forced to recant a scientific insight because it offended
powerful, conservative forces in society: for the church at the
time, it was not the scientific method that should be used to
find truth -- especially in certain areas -- but the doctrine as
interpreted and defined by church scholars, and this doctrine
was defended with torture, murder, deprivation of freedom, and
censorship.
More recently, the viewpoints of White and his colleagues have
become less-generally accepted by the academic community,
partially because White wrote from a perspective that
Christianity is a destructive force. This attitude can also be
seen in the works of Bertolt Brecht, whose play about Galileo is
one of the chief sources for popular knowledge on the scientist.
Moreover, deeper examination of the primary sources for Galileo
and his trial shows that claims of torture and deprivation were
likely exagerrated. Dava Sobel's Galileo's Daughter offers a
different set of insights into Galileo and his world, in large
part through the private correspondence of Maria Celeste, the
daughter of the title, and her father.
In 1992, 359 years after the Galileo trial, Pope John Paul II
issued an apology, lifting the edict of Inquisition against
Galileo: "Galileo sensed in his scientific research the presence
of the Creator who, stirring in the depths of his spirit,
stimulated him, anticipating and assisting his intuitions."
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