Title: Scientific Awakening
1Scientific Awakening
- A directional change in thinking
2Scientific Awakening
- Definition
- Period of time when people began to define
scientific method and apply it to search for
truth
3Basic Definitions
- Science A process of understanding and
organizing knowledge - Described nature
- Technology A combination of skills and
creativity which are mastered in their
environment - Art and technology were identical
4Scientific Awakening Steps
- Merging science and technology
- Technology previously independent of science
- Use of mathematics
- Use of experimentation and inductive reasoning
- Science separated from philosophy
- Basic ancient truths were questioned
- Focus on physics, not ethics and metaphysics
- History viewed as progressive
5- "The rise of the scientific spirit was a notable
feature of the Renaissance and, especially, just
afterwards men no longer accepted without
question the opinions of the ancients about the
universe and the laws governing the natural
world dogma was subjected to experiment, and
when it failed to survive the test it was
rejected and new theories were formulated. Thus
science in the modern sense was born, and rapid
progress was made in mathematics, physics,
chemistry, and biology. But the immediate
consequences for technology were confined to a
few specialized fields in the main,
technological progress still depended upon the
use of empirical methods by practical men. On
the whole, up to 1750 science probably gained
more from technology than vice versa." - T.K. Derry and T. I. Williams, A Short History
of Technology
6Scientific Awakening (Overview)
7Ptolemy Model of the Universe
Moon
Earth
Mercury
Motion of Mercury
8Tycho Brahes Model
Earth not at center of circles
9Copernicus
- Realized the earth turns on an axis
- Proposed a solar centered system
- Book of Revolutions
10Copernicus
- Problems
- Not all epicycles could be eliminated
- Common sense seems to contradict
- 1000 mph wind
- No sense of spinning
- Scriptures seem to contradict
11- And the sun stood still, and the moon stayed,
until the people had avenged themselves upon
their enemies. Is not this written in the book
of Jasher? So the sun stood still in the midst
of heaven, and hasted not to go down about a
whole day. - Joshua 1013
12- And thus, according to his word the earth goeth
back, and it appeareth unto man that the sun
standeth still yea, and behold, this is so for
surely it is the earth that moveth and not the
sun. - - Helaman 1215
13- According to the church, propositions which are
stated but not rigorously demonstrated, such as
the Copernican system itself, were not condemned
outright, if they seemed to contradict Holy
Scripture they were merely relegated to the rank
of working hypotheses with an implied wait
and see if you bring proof, then, but only then,
we shall have to reinterpret Scripture in the
light of this necessity. - Arthur Koestler, The Sleepwalkers, p442
14Galileo
- Called the successor to Archimedes
- Study of pendulums
- Chandelier in a cathedral
15Galileos Contributions
- Linked science and math with observation
- Established math as language of science
16Galileo
- Truth cannot be found in the book of Aristotle
but in the book of Nature and the book of Nature
is written in the language of mathematics. - - Galileo
17Galileos Contributions
- Linked science and math with observation
- Established math as language of science
- Engineering skills
- Manufacturing
- Music and art capabilities
- Optic developments
- Founded modern astronomy
- Secularized science
18Galileo
- God is the author of two great booksthe book of
scripture and the book of nature. These cannot
be in conflict so any apparent contradictions
come from fallible human interpretationsScripture
is a book about how to go to heaven not a book
about how heaven goes. - - Galileo
19Galileo
- I do not feel obliged to believe that the same
God who has endowed us with sense, reason, and
intellect has intended us to forgo their use. - - Galileo Galilei
20Galileos Trial
- Court scientist to the Medici family
- Many discussions about Copernican theory
- Taught Copernican theory widely as truth
- Ordered by the church to teach it as a theory
- Wrote a book on the theory
- Three people discussing
- Court on defiance of previous church order
- Sentenced to house arrest and silence
21Kepler's Laws of Planetary Motion
- The orbits of the planets are ellipses,
- with the Sun at one focus of the ellipse.
Major axis
II. The line joining the planet to the Sun sweeps
out equal areas in equal times as the planet
travels around the ellipse.
III. The ratio of the squares of the
revolutionary periods for two planets is equal
to the ratio of the cubes of their semi-major
axes (half the major axis).
22Francis Bacon
- Court Chancellor
- Development of scientific method
- Died from pneumonia
23- "Method is like a pathway and if the pathway
leads in the right direction, you will eventually
get to the truth. Bacon's pathway was induction
combined with experimentation... Genius like
Aristotle is the ability to run quickly.
However if a genius is on the wrong pathway, he
will never be able to come to the truth since he
will just move more quickly in the wrong
direction." - Bacon
24Francis Bacon
- "This is the foundation of all, for we are not to
imagine or suppose, but to discover what nature
does or may be made to do." - Bacon, Novum Organum
25Francis Bacon
- 1. Some people are like ants they just build up
a store of supplies (information or facts). - 2. Some are like spiders they build a complex
system that is beautiful to behold (but it is
made from the spider's own internal stuff and not
materials from nature. It is not related to the
real world.) - Some are like honey bees they take materials
from nature and convert it into materials that
are useful for humankind (this is the model we
should all pursue.) - Bacon
26Bacons Truths
- Sensory perception (empirical knowledge) more
reliable in examining the world than pure logic
or theology. - Manipulation of the world instead of just
observation. - Principle of cause and effect accepted as
inviolate. - Theory developed after experiments were
interpreted. (Inductive reasoning given
precedence over deductive reasoning.) - Interpretation of data to be unbiased.
- Well supported and accepted theories become laws.
27Renè Descartes
- Foundations of analytical geometry
- Discourse on Method
- Cogito ergo sum
- (I think, therefore I am)
- Dualism (mind-body problem)
- Reductionism
- Banned by Catholic Church
28Renè Descartes
- Results of Descartes philosophy
- Basis of French science (theory)
- Scrutiny of ancient philosophers
- Excitement in scientific investigation
29"Being and Doing"
- To be is to do
- -Socrates
- To do is to be
- -Descartes
- Do be do be do
- -Sinatra
30Descartes
31Blaise Pascal
- Skeptic who recognized limits of empiricism
- Pensées
- Converted to science by Descartes
- Strong experimentalist
- Discoveries perpetuate human progress
- Contributions
32- "In the Thoughts it is fully expounded as the
difference between the geometrical and the
intuitive temperaments. By geometrical, Pascal
means the mind when it works with exact
definitions and abstractions in science or
mathematics by intuitive, the mind when it works
with ideas and perceptions not capable of exact
definition. A right-angle triangle or
gravitation is a perfectly definite idea poetry
or love or good government is not definable. And
this lack of definition is not due to lack of
correct information it comes from the very
nature of the subject." - Barzun, Jacques, From Dawn to Decadence,
Perennial, 2000, p216-218.
33Isaac Newton
- The greatest scientist who ever lived
- Disinterested student
- Time at the farm
- Cambridgeprofessor of math
- Never married
- Manic depressive
34Isaac Newton
- Avoided publishing findings due to criticism
- Principia Mathematica
- Discovery of gravity
- Greatest scientific work
- Discoveries in math and optics
- Developed Calculus
- Introduced Modeling
35Isaac Newton
- In the preceding books I have laid down the
principlesthat are the laws of certain
motions, and power or forcesIt remains that from
the same principles I now demonstrate the frame
of the System of the World. - - Newton
36Isaac Newton
- If I have seen further than others, it is by
standing on the shoulders of Giants. - -Sir Isaac Newton
37- "Newton was driven with a zeal that would unnerve
the most devoted scholar experimenting for days
without food or sleep staring at the sun until
the image continued to burn unrelievedly in his
head probing his eye with a darning needle to
investigate optical effects. He set out to test
the limits of the physical world and in the
process often discovered his own." - Isacoff, Stuart, Temperament, Vintage Books,
2001, p. 10.
38Isaac Newton's belief in God and the concept of
gravity
- To clarify his thoughts on the subject, sometime
around 1720 Newton wrote what he perceived as a
personal credo, a form of amalgamation of science
and religiona guide, perhaps, for future
explorers. This included a clear picture of the
role he saw for Christ in the universal scheme of
thingsnot least the function of the spiritual
body of Jesus as the medium by which celestial
mechanics was maintained. Jesus was beloved of
God before the foundation of the world, he
wrote, and had glory with the father before the
world began and was the principle of the creation
the agent by whom God created all things in
this world. To summarise, the spiritual body of
Jesus, the first created, was the facilitator for
the creation of the physical universe, provided
the means via which the cosmos continued to
function mechanically, and acted as a medium via
which forces acted at a distance without any
visible, tangible, measurable mechanism. - John White, Isaac Newton The Last Sorcerer
39Chemistry
- Alchemists
- Robert Boyle
- Antoine Lavoisier
40- "Not for nothing has Lavoisier become known as
the Newton of chemistry. Yet he was no
single-minded pioneer. During his brief fifty
years of life he not only established modern
chemistry, but also found time to occupy
(simultaneously) several top-level administrative
positions, as well as contributing technological
advances in a number of disparate fields
ballooning, the mineralogical mapping of France,
urban street lighting, the Paris water supply,
the efficiency of gunpowder and a full-scale
model farm, to name but a few." - Strathern, Paul, Mendeleyev's Dream, New York
Berkley Books, 2000, p.225.
41Consequences of Scientific Revolution
- Community of scientists formed
- Royal Society
- Papers were read and published
- Scientists subjected to critical audience
- Science accepted as the preferred method of
getting "truth"
42Thank You
43Scientific Awakening
44Euclid vs. Riemann
- Euclidean geometry a priori assumptions
- 1. The shortest distance between two points is a
straight line. - 2. Two parallel lines never cross.
- 3. Two non-parallel lines cross at one and only
one point. - - Newton then derived that mass is a constant
that relates time, length, and speed or
acceleration. - Riemann geometry a priori assumptions
- 1. The shortest distance between two points is a
curve. - 2. Two parallel lines cross at infinity.
- - Einstein then derived that mass is a variable
that depends upon time, length, and speed or
acceleration. - From H. Clay Gorton, The Transitory Nature of
Telestial Knowledge
45- "All over Europe, from Poland to southern Italy,
a new mindset was gelling at the time of the
scientific revolution. An indication of this is
that several important discoveries were made, all
but simultaneously, by different individuals who
could not possibly have known of each other's
work, let alone resorted to plagiarism. Here
indeed was a new development. Science didn't
just advance as a result of great discoveries by
great men. Just as important as these individual
geniuses was the advent of a new way of thinking
which could lead several thinkers to the same
discovery at once... One example will suffice.
Galileo completed his geometric sector for
calculating the trajectory of projectiles (cannon
balls) in 1597. Just a year later, an uncannily
similar device was produced independently in
London by the Elizabethan mathematician Thomas
Hood... Meanwhile the Dutch mathematician Dirk
Borcouts, who corresponded with Descartes, was
also working on his own bronze sector for
calculating projectiles." - Strathern, Paul, Mendeleyev's Dream, New York
Berkley Books, 2000, p.132.
46- "Science was developing into a body of knowledge
which frequently prompted those working within it
in the same direction. This has led to the
understanding that scientific discovery is to a
certain extent predetermined. If 'inflammable
air' had not been discovered by Cavendish (or
Boyle, or whoever), it would sooner or later have
been discovered by someone. Science could now be
viewed as a cultural-historical phenomenon,
rather than simply the creation of individual
geniuses working alone." - Strathern, Paul, Mendeleyev's Dream, New York
Berkley Books, 2000, p.216-217.
47Faith and Empiricism
- And now as I said concerning faith faith is not
to have a perfect knowledge of things therefore
if ye have faith ye hope fort things which are
not seen, which are true. - - Alma 3221
48- "An ambitious young journalist had submitted a
paper to the Academie, in the hope of gaining
election to this prestigious body. The paper had
been on the nature of fire... According to the
paper, this the extinguishing of a flame in an
enclosed space happened because the air heated
by the flame expanded, and thus pressure mounted
around the flame, diminishing its size, until
finally it disappeared... It fell to the
Academician Lavoisier to inform the misguided
journalist that his paper was wrong. The
journalist felt deeply insulted by Lavoisier's
dismissive rejection. The journalist's name was
Jean-Paul Marat. By 1791 Marat had become one of
the leading members of the Jacobins, the
extremist advocates of what would soon become the
Terror. In 1791 Marat publicly attacked
Lavoisier in the Jacobin newspaper... Lavoisier
was arrested. Despite the frantic efforts of Mme
Lavoisier, her husband was brought to trial. The
judge expressed his opinion that 'The Republic
has no need of scientists', and sentenced
Lavoisier to death. He was guillotined the same
day." - Strathern, Paul, Mendeleyev's Dream, New York
Berkley Books, 2000, p.240-241.
49Electricity
- William Gilbert
- Stephen Gray
- Benjamin Franklin
50Faith and Empiricism
- Now faith is the substance of things hoped for,
the evidence of things not seen. - - Hebrews 111
51Faith and Empiricism
Perfect (Spiritual) Knowledge
What is hoped for
Faith
What is seen
Scientific (Empirical) Knowledge
52- "The development in the West of the concept of a
unified natural science depended on the
preparation of the ground through monotheism, so
that one can understand more easily the reason
that modern science arose in seventeenth-century
Europe rather than, say, in China." - Gerald Holton, Einstein, History, and Other
Passions
53- The heliocentric idea of the universe,
crystallized in a system by Copernicus, and
restated in modern form by Kepler, altered the
climate of thought not by what it expressly
stated, but by what it implied. Its implications
were certainly not conscious in Copernicus mind,
and acted on his successors by equally insidious,
subterranean channels. They were all negative,
all destructive to the solid edifice of medieval
philosophy, undermining the foundations on which
it rested. - Arthur Koestler, the Sleepwalkers, p. 218.
54- "It Ptolemy's theory made a very complex
structure, and at last the mind rebelled at more
and more contortions. William of Occam's
principle of economy, that the best explanation
is the one that calls for the least number of
assumptions, was an argument against Ptolemy, in
addition to the awkward facts. It impelled
Copernicus to revise not destroy the system,
by supposing the sun to be the center instead of
the Earth. He was thereby able to reduce the
epicycles from 84 to 30. But even his scheme is
not quite sun-centered. His work, published in
the mid-16C after his death, proposed an
important change indeed, but it was not the
shattering blow it is commonly taken for it
raised new difficulties, and those who rejected
it were not simply diehards refusing evidence.
Kopernik (to use his proper name) was a devoted
admirer of the ancients and obsessed with the
perfection of circles and spheres. Such notions
(and several others) had to be abandoned before
the modern planetary system could be suggested
and tested he did not bring this about
single-handed." - Barzun, Jacques, From Dawn to Decadence,
Perennial, 2000, p192.
55- "What convinced him Copernicus to make this
the heliocentric model the cornerstone of his
argument, and eventually persuaded his followers,
was that he thereby produced a model of the
planetary system in which the relative locations
and order of orbits were no longer arbitrary but
followed by necessity. In short, Copernicus is a
case study of the privileging of an aesthetically
based theory above all, the aesthetics of
necessity and even of the temporary disbelief
in 'data' that would appear to disprove a favored
theory...That is the meaning behind a remark
Einstein made before the test of General
Relativity 'Now, I am fully satisfied, and I do
not doubt any more the correctness of the whole
system, may the observation of the eclipse
succeed or not. The sense of the thing is too
evident.'" - Gerald Holton, Einstein, History, and Other
Passions
56- "Now man will at last measure the power of his
mind on a true scale, and will realize that god,
who founded everything in the world on the norm
of quantity, also has endowed man with a mind
which can comprehend these norms!" - Kepler
57Galileo
- "Galileo's invention amounted to secularizing
science, submerging the qualitative in favor of
the quantitative as the earmark of truth, and
elevating experimental checks from illustrations
of the value of a theory to the test of its
probability." - Gerald Holton, Einstein, History, and Other
Passions
58- Looking back, we see that two principles should
have been considered by the theological judges of
the new astronomy. First, the traditional
interpretation was to be held unless solid
reasons dictated otherwise. Second, in matters
of pure physical science, the Scriptures are not
the criterion for establishing one system or
forbidding another, since they do not teach
science. The correct theological procedure would
have been to combine these two principles into a
practical and valid norm for solving what appear
to be discrepancies between Scripture and
science. Had this been done, the opinion that
the Scriptures confirmed the suns motion would
have been held as more probable even after
Galileos discoveries. By staying within the
realm of probability, there would have been room
left for another interpretation which would have
been permissible, though less probable, namely,
that the Scripture texts in no way represented
scientific affirmations and thus were irrelevant
to the scientific question. - Jerome J. Langford in Galileo, Science and the
Church
59- If a mans proofs must be so overwhelming that
others will speedily accept them against
established authority, then few independent
ideas, especially in science, will ever be
brought forth, for most really new ideas require
the research and the contributions of many men
before rigorous proofs are to be found. I think
that all that should be required is sufficient
weight in the mind of the advocate himself that
he will offer himself up to possible general
ridicule. Galileos proofs had at least that
much weight for him before he spoke out, and
rightly so his two attempted physical proofs,
though not conclusive, were far stronger than
many of his critics will allow them to be. I
refer to the seasonal variation of sunspot paths
and to Galileos theory of the tides. It would
indeed be difficult to explain either of those
phenomena without attributing some motion to the
earth. - Stillman Drake in the foreword of Galileo,
Science and the Church.
60- "Galileo's description of his experiments was
quite skimpy by today's standards...Reading his
dialogs, you never quite know if you are reading
about Aristotelian observations or Platonist
thought experiments....He left historians of
science wondering whether he actually did the
experiment... What surprises us is what Galileo
said happened just after he released the two
balls. The lighter ball, he said, started out a
little bit faster than the heavy ball. Then the
heavy ball caught up. That sounds crazy in the
light of known physics. So physicists reran the
experiment in front of a slow-motion movie
camera. An assistant held two four-inch-diameter
iron and wooden balls at arm's length, as Galileo
would have held them to clear the wide balustrade
at the top of the Pisa tower. A close study of
the film proved that when someone tries to drop
both balls at once, their strained muscles fool
them. They consistently let go of the lighter
one first. So what Galileo accurately reported
is what really would have happened, and we are
left with no doubt that he actually did the
experiment." - John Lienhard, The Engines of Our Ingenuity,
p.73.
61- "'So far as I know, no one has yet pointed out
that the distances traversed, during equal
intervals of time, by a body falling from rest,
stand to one another in the same ratio as the odd
numbers beginning with unity.'....To have put it
this way means that what counted most for Galileo
was after all not the limited and perhaps rather
silly case of a falling stone or a rolling ball,
but the demonstration that terrestrial phenomena,
of which these are examples, can be explained by
the operation of integers just as the
Pythagoreans had dreamed (and as quantum
physicists have proved for atomic behavior).
Galileo, too, was still engaged in a search for
cosmic truths, a tendency which, for better or
worse, had to be reined in as science evolved
further." - Gerald Holton, Einstein, History, and Other
Passions
62- "Without a theory the facts are silent.
- F. A. Hayek (Quoted in John Keegan, A History
of Warfare, 1993, 6)
63- Bacon stated that he wanted to bring about the
true and lawful marriage of the empirical and
rational faculties, the unkind and ill-starred
separation of which has thrown into confusion all
the affairs of the human family. - - Quoted in Stephen F. Mason A History of the
Sciences
64- "It is well to observe the force and virtue and
consequence of inventions, and these are nowhere
to be seen more conspicuously than in those three
which were unknown to the ancients, and of which
the origins, though recent, are obscure and
inglorious namely, printing, gunpowder, and the
magnet. For the three have changed the whole face
and state of things throughout the world." - Sir Francis Bacon (1620) From McGrath, In the
Beginning, Anchor Books, 2002, p.5.
65- "These 'idols of the mind' false notions or
prejudices, as he Bacon called them, came in
four distinct categories. The Idols of the Tribe
have their foundation in human nature itself...
For instance, there is a universal propensity for
oversimplification. We assume a greater order in
things that actually is the case. Likewise,
spectacular or sensational occurrences, which may
well be unrepresentative, tend to influence our
judgment more than routine ones. The Idols of
the Cave are the idols of the individual. These
are prejudices and intellectual peculiarities
which result from our particular upbringing,
education and experience. For instance, when
assessing things one person may concentrate on
likenesses, another on differences one on
details, another on the whole... Idols of the
Market Place result from our interaction with
others... These are the errors due to our use of
language. Such errors do not necessarily result
from the misuse of language, they may even result
from the language itself... Bacon's fourth false
notion he named Idols of the Theatre. These
consisted of the various dogmas of philosophies.
He included amongst these idols many principles
and axioms in science which by tradition,
credulity, and negligence have come to be
received." - Strathern, Paul, Mendeleyev's Dream, New York
Berkley Books, 2000, p.150-151.
66- Prosperity is the blessing of the Old Testament
and adversity is the blessing of the New. - Sir Francis Bacon
67- Now the empire of man over things is founded on
the arts and sciences alone for nature is only to
be commanded by obeying her. - - Sir Francis Bacon
68- If you start with certainties you will end in
doubts, but if you begin with doubts, you will
end in certainties. - - Sir Francis Bacon
69- Truth emerges more readily from error than from
confusion. - - Bacon
70- "Galileo did more than anyone to establish the
methods of the new science, and Francis Bacon
framed its philosophical stance. Bacon directly
contradicted the Platonists' belief that truth is
to be found in the human mind when he said, ?That
which nature may produce or bear should be
discovered, not imagined or invented....' After
1600 Europe gained two new tools of inquiry, both
of which led away from medieval thinking. The
shift to observational science was certainly
strengthened by new kinds of measuring
instruments. clocks, telescope, thermometer,
microscope, etc. But a second major force was
also afoot, and its relation to the shift in
scientific method was more complex. New forms of
practical mathematics offered lay people means to
perform calculations." - John Lienhard, The Engines of Our Ingenuity,
p.70.
71Bacons Method
- Step 1All known cases where phenomena occurs
- Step 2Similar cases when phenomenon does not
occur - Step 3Cases when phenomenon occurs in different
degrees - Step 4Examine lists to discover cause
72- "From Vico, the non-agreeing student of
Descartes. Mathematics is completely transparent
to our minds, simply because it is our arbitrary
creation. One can achieve a complete
intellectual grasp only of things one has created
oneself. We have made mathematics, but Nature
was created by God. So perfect scientific
certainty could be possessed by God alone and, in
attempting to find a guarantee for his physical
theories in the axioms of human mathematics,
Descartes had been deceiving himself." - Toulmin, Stephen and June Goodfield, The
Discovery of Time, The University of Chicago
Press, 1965, p.126.
73Pascal
- Truths of a different order non-geometrical are
attainable by finesse, even if consensus is
lacking. The language itself recognizes the
source of the distinction to know and to know
about express the difference between intimate
awareness and things learned. Some languages in
fact use different words for the contrast wissen
and kennen, savoir and connaître saber and
conocer. Man as scientist has come to know a
great deal, but as human being knows and feels
intuitively love and ambition, poetry and music.
The heart-and-mind reaches deeper than the power
of reason alone... What, then, is the importance
of Pascal's distinction?... As a true believer,
Pascal had no need to revel in destruction he
was fond enough of his fellow men to want them
saved, on any term hence 'Pascal's Wager.' He
pleads with the increasing number of
freethinkers, atheists, who had been freed' by
science and who were the first to be called
Libertines. Pascal says to them 'If you
disbelieve in God, you have no eternal life you
yourselves say there is none. But if you
believe, you have at least one chance out of two
for if there is not God, you are where you were
before and if there is, you have won
salvation.'"
74- Observation and experience can and must
drastically restrict the range of admissible
scientific belief, else there would be no
science. But they cannot alone determine a
particular body of such belief. An apparently
arbitrary element, compounded of personal and
historical accident, is always a formative
ingredient of the beliefs espoused by a given
scientific community at a given time. - - Thomas S. Kuhn in The Structure of Scientific
Revolutions, p5
75William Harvey
- Practiced vivisection
- Advanced understanding of the heart
- Text book on blood and circulation
- Attacked by followers of Galen
- Elected to Royal Academy
76- In the short term he Lavoisier appeared
opportunistic, but in the long run he was
remarkably consistent in maintaining a broad
investigative program held together by multiple
links between the sub problems it encompassed. I
believe that his combination of flexibility and
sustained purpose, the middle road between narrow
concentration and scattered attention, was a
characteristic of Lavoisiers scientific style
important to the overall success of his
investigative enterprise. - - Wallace and Gruber, Creative People at Work
77- "...There is a closer connection between
scientific creativity and scientific writing than
has generally been noticed. It was in the
process of composing his ideas on paper that
Lavoisier sometimes came fully to grasp them, to
see the flaws in them, to see how they could be
further developed, or to perceive alternatives to
what he had previously thought. Scientific
papers are not merely reports of conclusions a
scientist has already reached, but an important
phase in the creative process itself." - (Wallace and Gruber, Creative People at Work,
1989, 55.
78Ptolemy
79- If I have seen further it is by standing on the
shoulders of giants. (Isaac Newton, February 5,
1676) Let us explore Newtons phrase a little
furtherNow if we think of building as a mere
incremental process, brick on brick, it does not
sound very romantic or excitingthis is hardly
creative struggle or epiphany. Well, sometimes,
we are sure, creative work is just that patient
kind of building. Newtons phrase allows for
that, and he himself was certainly patient
builder, sometimes. But Newtons phrase allows
for something else as well, the way a climber
reaching one summit discovers unseen valleys and
new higher ranges never seen before. - --Wallace and Gruber, Creative People at Work,
1989, 8-9