The Rules of the Game: Preface
We will now consider the more
specific rules of the physical world, the rules operated upon by the
fundamental principles of self-organization and emergence (with which they are
completely intertwined), the rules that gave rise to the Universe and the
physical structures that made possible the emergence of our species. The
ultimate nature of the physical world is so strange in comparison to our
everyday experience, and its internal operations so arcane, that only a
relative handful of humans understand them in any great depth. Those who wish
to have the deepest understanding of fundamental physical reality must master
the language of mathematics, and possess a sense of the beautiful perfection
that particular language reflects and expresses.
It has taken many centuries for
our species to learn the rules of the physical world. The first rules that
humans (partially) understood pertained to celestial events and phenomena, as
people attempted to find regularities and patterns in the movements of the Sun,
the moon, the stars, and the planets. Eventually, the more advanced intellects
of many different societies began trying to figure out the functioning of their
own senses, the nature of the phenomena that stimulated these senses, and the
rules that seemed to govern the movements of physical objects in general. Much
brilliant thinking went into these quests, and some surprisingly advanced
hypotheses came out of some very old cultures. And yet, religious and
philosophical notions were often tangled up in these ideas, muddying the
intellectual waters. Few actual experiments were conducted, and in every
society technical expertise far outstripped theoretical knowledge.
In many places, scientific minds
worked in relative isolation, and the pace of innovation and discovery often
slackened, succumbing to official hostility or indifference and popular
ignorance and superstition. But in some regions, the first philosophical
inquiries gradually brought forth a new method of observing and testing the
natural world. In the West, after many fits, starts, set-backs, and dead-ends,
this process led to the rise of a new, disciplined, professionalized,
mathematically sophisticated cohort of scientists, and a genuinely empirical
and systematic way of examining nature. True organized science had come into
being.
By the mid-1800s, it seemed as if
most of the essential questions about the operation of the physical world had
been answered. The towering genius of Isaac Newton, building and elaborating on
the work of many others, had, in the 17th century, established a
coherent, intellectually consistent picture of physical reality, one that
seemed admirably suited to the needs of civilization. And yet, as the 19th
century wore on, new discoveries in physics and mathematics began to point the
way to a deeper, more abstract, less intuitive, and less familiar picture of
the physical Universe. These new discoveries began to supplant the mechanistic
picture of the world with one that was not easily comprehended, one filled at
its deepest levels with probabilities and relative perspectives rather than
absolute certainties and a single unmovable frame of reference. During the 20th
century the scientific community of the world broke into more and more
specialties, many of them incredibly abstruse. The gap between scientists and
the general public seemingly grew to enormous size, occasionally bridged by
talented scientists and science writers who authored explanations, designed for
non-specialists, of the new discoveries.
By the early 21st
century, the picture of physical reality and the rules by which it operated was
radically different than that which had existed in the year 1700. It was
apparent that physical reality was not what it had once seemed to be. And those
who studied the nature of reality and the place of humans within it had to take
this new, radical vision of the Universe into account if a coherent picture of
the human experience were to be constructed.
The effects of the basic physical
rules can often be perceived, but much more often are imperceptible to us (or
are so taken for granted that they are no longer consciously noticed). Since
this work is not a physics text (and I wouldn’t have the faintest qualification
to write such a book!), I will not attempt to explain these rules in any sort
of mathematically sophisticated way. Using popular sources rather than
specialist works, I will simply attempt to gather all the basic essential facts
into one place. Why attempt this, in a project looking at human history’s
emergence? Because these rules are the foundation of our existence. In
describing the parameters of physical reality, they also describe the limits of
the possible. Everything in the known Universe has arisen from them. (They in
turn used the methods of self-organization and emergence to construct the
Universe.) They are utterly inviolable, and they are, in a very real sense,
expressions (if still indirect) of That Which Is, however that might be
interpreted or understood (and I make no claims of understanding). If we really want to attempt to understand human
emergence in any sort of comprehensive way, these basic rules must be at least
touched on. Every aspect of our lives is made possible by these ultimate laws
of nature. They are the very texture, the very foundation of physical being
itself. This does not mean that these rules are not capable of surprising, or
even shocking us when we uncover them.
The Rules of the Game: The Original Rulebook
We obviously have no certain
knowledge of the picture of reality that prehistoric peoples had. We do not
know, for example, whether early human types, such as Homo habilis, even had the mental capacity to form an overall
picture of the world. Even if we assume that such a capacity did not exist
prior to the evolution of Homo sapiens,
it is likely that early sapiens’
conceptions of the world leaned heavily on magical and supernatural
explanations, although we cannot know to what degree. With sapiens we do have cave art from a variety of locations, but it is
difficult to infer specific meanings from much of it, and one cannot often glean
from it the conceptual schemes of the world and the Universe held by
prehistoric peoples. We can gain some insights into prehistoric conceptions
through the study of mythology, especially as it has been handed to us in oral
traditions, but we must assume that these stories have themselves gone through
long processes of development, and only give us hints of the thinking of our
earliest ancestors.
The ability to conceive of tools
is evidence of a self-reinforcing intellectual capacity, and the technology of
the earliest humans was one of their survival advantages. Indeed, the
possession of technology is one of the criteria by which our genus is often
defined. The technology that was
devised by the earliest humans was starkly utilitarian and crude, and few
tangible advancements were made in it for many centuries. But it sufficed for
most purposes, and the skills prehistoric people possessed allowed them to
exploit and survive in a wide variety of environments on the Earth’s outer
crust. As their tool kits became more varied and sophisticated and their skills
databases expanded over the millennia,
so did their ability to increase their mastery of these environments.
But however skilled they were, we must assume that our ancestors’ theoretical knowledge of the physical
world was effectively nil. They knew how to make a living out of the world, but
they didn’t know what the world was or how it worked.
The human attempt to understand
the mechanics of the world began in earnest (as far as we know) when humans
formed societies in which at least some people commanded the ability to use
written symbols to convey meaning. As language (including mathematical
language) became more sophisticated, so did the hypotheses offered to explain
how the world worked. So what did our ancestors know of the physical reality in
which they lived? How much insight did they really have?
A (Very) General Summary of Pre-Modern Knowledge of the Physical World
Mesopotamia and Egypt
The Egyptians developed a
decimal-based number system as early as 3000 BCE, although its symbols lacked
the utility of the Hindu-Arabic numerals in use today. The skill of the ancient
Egyptians in using mathematics for engineering almost goes without saying. Most
notably, the Egyptians developed a practical calendar of reasonable accuracy.
But their knowledge of the principles of the physical sciences was
non-existent. The Egyptian picture of the cosmos was at first severely limited
in conception, essentially a box with Egypt at the center of the box’s bottom
section, lit by fixed lights attached to the roof of the box. Later, there were
attempts to explain the movements of the stars and the reasons the Sun rose
recurringly in the east.1
In Mesopotamia, the Babylonians
developed more advanced mathematics than the Egyptians, and it was used, among
other purposes, in the service of astronomy. By 500 BCE Babylonian astronomers
were skillful enough to make astronomical predictions with some accuracy,
although this skill was often put to the service of astrological nonsense. But
it cannot be said that any comprehensive theory of the world’s functioning
emerged from Mesopotamia’s long history. There were, of course, religious
cosmologies that were formed, but they were as parochial in nature as those of
Egypt.2
China
In pre-modern China, the study of
physics was not strong, and the Chinese never developed an atomic theory,
tending to conceive of matter and energy purely in wave-like terms. There was a great deal of interest in magnetism,
in the study of which Chinese scholars exceeded all others. This led to the
development of useful compasses as early as the eighth century CE. There was
also much study done in optics. Serious research on optics was well advanced by
the fourth century BCE, particularly within a circle of philosophers known as
the Mohists, who described many of the properties of mirrors and refraction.
Chinese thinkers attempted to systematically define terms related to movement,
mass, and measurement, and worked to standardize the system of weights and
measures. Chinese researchers attempted to describe such phenomena as the
center of gravity, buoyancy, and displacement of objects in water. Well before
the Common Era some Chinese researchers postulated that sound was a sort of
vibration, and much later, Chinese scholars studied the properties of music and
made some genuine progress in acoustics.
In astronomy, the Chinese made an
impressive number of observations, and the Chinese attributed great
significance to astronomical phenomena, owing to the central role the heavens
played in China’s cosmic-oriented religion. China’s astronomical records are
often the only ones in the world that still exist for the period of the fifth
century BCE to the 15th century CE. Chinese astronomers catalogued
over 1,000 major stars, identified many constellations, noted recurring events
such as the appearance of comets at fixed intervals, and recorded eclipses as
early as 734 BCE. A Chinese observer noted what we now believe to have been a
nova event as early as 1300 BCE, and Chinese astronomers were the only ones in
the world to record a massive supernova event in 1054 CE, one of only three
such events ever recorded in the pre-modern era. In short, for many centuries
China led the world in this important natural science.
But Chinese discoveries, such as
the existence of magnetism, were often put to such dubious uses as divination,
and Chinese astronomy was always entangled with astrological pseudoscience.
Moreover, religious mysticism permeated much of the investigation of nature in
China, as it did in so many other places. Most critically, science in China was
not honored in the same way that skill in philosophy or government was, and
brilliant Chinese researchers often worked in isolation. The Chinese used their
technical skills to create a great many practical inventions and processes, and
their achievements in engineering were remarkable, yet those who made such
achievements possible usually possessed second-rate status in educated Chinese
society. We must conclude, therefore, that although the Chinese learned a great
deal about the outward phenomena of nature, they did not possess a strong grasp
of the principles underlying those phenomena.3
India
Early in the Common Era,
astronomers in India knew that the Earth was a sphere, and in the 7th
century CE the astronomer Brahmagupta made a fairly accurate estimate of the
Earth’s circumference. But the fact of the Earth’s sphericity was opposed by
India’s religious leaders, who insisted that we live in a flat world. In astronomy, Greek ideas filtered into
India, were augmented by Indian discoveries in mathematics, and circulated back
to Europe by way of the Arabs. Indian astronomers identified five planets
outside the Earth, but generally adhered to the idea of a geocentric Universe.
There was an Indian astronomer in the 5th century CE, Aryabhata, who
postulated a heliocentric solar system, but his ideas never gained wide
acceptance.
In physics, Indian scholars
generally conceived of five elements (fire, air, earth, water, and ether).
Indian scholars postulated an atomic theory, and thought the five elements to
be atomic in nature. Indian atomism was not based on experimentation, of
course, but rather on guesswork and the application of logic. Indian physicists
never devised a comprehensive gravitational system, although some of them
speculated about the existence and nature of gravity. By 700 CE some Indian
researchers understood that sound was propagated by waves, and attempted to
explain the various kinds of physical motions. But it cannot be said that
physics in India was anything but rudimentary in nature, and in India, as
elsewhere, applied science and technology far outstripped pure science.4
Africa
Sub-Saharan African societies
made great strides in applied science, particularly agronomy, engineering, and
metallurgy, but there is little evidence of extensive theoretical inquiry, a
pattern typical of almost all human societies. There is evidence that
mathematical consciousness, in the form of tally sticks, was emerging in
southern Africa during the Paleolithic Era. A number of stone megaliths have
been discovered in eastern and central Africa, but whether they were
astronomical in nature is difficult to determine.5 Impressive stone buildings, begun in the 11th
century CE, have been found in Zimbabwe, and the medieval empires of West
Africa, specifically Ghana, Mali, and Songhai,
incorporated a great deal of Arab scientific thought (along with Islam)
into their own storehouses of knowledge. In northeastern Africa, Egyptian,
Greek, and various Middle Eastern cultures cross-fertilized each other, sharing
and disseminating knowledge in a complex manner. And, as in most cultures,
African conceptions of the Universe were saturated with religious thinking.
The Islamic World
Islamic scholars generally
embraced Ptolemy’s views on the nature of the Universe (see below). The great
Arab mathematician al-Khwarizmi helped introduce Hindu-Arabic numbers to the
West and made a major contribution to the development of algebra. The Arabs
preserved much of the scholarship of classical Greece, most notably the work of
Aristotle, and in physics Arab scholars
studied optics, investigated specific gravity, and examined the physical
properties of music. The Arabs made great strides in medicine, particularly
ophthalmology, and throughout the Islamic world engineering and construction
reached advanced levels. In late medieval Europe the greatest libraries on the
continent were in Islamic Spain, and Christian scholars traveled there to partake
of their holdings. A thriving Jewish intellectual community existed in Islamic
Spain as well.
But Islamic scholarship has
always been harnessed to the service of the Islamic faith, and the Koranic view
of reality has always been given priority. There was a decline in Arab science
in particular beginning in the 14th century, as the rationalism that
lies at the very foundation of scientific thought came under attack by
religious authorities.6
Pre-Columbian America
Both Mayan and Aztec astronomers
constructed viable calendars, deeply intertwined with religious observations.
The Mayans and Aztecs in Mexico and the Incas in Peru were accomplished in the
engineering and construction of major buildings and even whole cities. They
also had great skill in agriculture and metallurgy. Native Americans north of Mexico often made
observations of the stars, and an American anthropologist writing in the early
20th century argued that there were Pawnees who arranged villages to
represent objects in the sky, chiefly as part of star worship.7
Native Americans north of Mexico mastered a huge range of practical skills and
built considerable settlements and monuments in some regions. The cosmologies
of the Native Americans both north and south of the Rio Grande were overwhelmingly
religious in nature. There is little evidence of any organized scientific
endeavors.
Ancient Europe
Pre-modern Europeans had a great
many practical survival skills, and as the Paleolithic Era waned into the
Mesolithic, beginning around 8000 BCE, we see evidence that their skill in
making stone, wooden, and bone tools had grown to be very sophisticated. There
is evidence of metallurgy in southeastern Europe as early as the seventh
millennium BCE as well. Pre-modern Europeans established permanent settlements
in some places, such as the lakeside settlements in Switzerland, and they
constructed monoliths such as Stonehenge. Stonehenge, indeed, may—may—have
been an astronomical calculator. There is evidence that other ancient
European megaliths may also have had astronomical significance. But the
star-observations of the ancient Europeans in all probability simply supported
their religious cosmologies, and before the Greek philosophical experiment
began in the sixth century BCE, there is little evidence of any attempt to
explain the world in a dispassionate manner.
Aboriginal Australia
Some researchers have, in recent
years, presented evidence that the aboriginal inhabitants of Australia, split
into many different tribes, had a surprisingly advanced knowledge of the
objects they saw in the night sky, distinguishing planets, constellations, and
according to some sources, even the presence of galaxies outside of our own.
Aboriginal observers noted both solar and lunar eclipses, and speculated about
comets and asteroids. There was also calendar making based on the positions of
stars at various times, with as many as six seasons noted. Naturally,
Aboriginal peoples possessed an extensive tool-making tradition, which helped
them survive in Australia’s beautiful but austere environment, as well.
But aboriginal Australian
conceptions of the Universe were thoroughly intertwined with their mythology,
as they were used to explain The Dreaming or Dreamtime, the creation of the
world by the gods in the distant past. There
was no separation between this mythology and the many observations of the night
sky that were made.8
The Pacific Islands
The Polynesians who settled much
of the Pacific before 1000 CE were superb boat builders, and it has been said
with justice that their excursions into the uncharted Pacific in dugout canoes
were the equivalent of heading into outer space without a map. The Pacific
Islanders possessed a large array of tools, and developed a widespread system
of aquaculture in the Hawaiian islands, a system that became a major food
source. Perhaps their most spectacular achievement was the building of the
stone figures on Easter Island, the construction of which showed great
engineering prowess. But although there were phenomenal celestial navigators
among the Pacific Islanders, there is no evidence of any organized scientific
attempt by the Polynesians or the Tahitians to comprehend the physical
Universe.
It is clear from this admittedly
cursory examination, one that encompasses perhaps 20,000 years of human
prehistory and history, that a pattern asserts itself in human societies again
and again: know-how far outstrips
theoretical knowledge. And even in that study of natural phenomena that did
take place in many parts of the human world, observation greatly exceeded explanation.
It is one thing (admittedly a necessary one) to catalogue large numbers of
stars. It is quite another to understand how those stars work and the role
stars have played in bringing humans into being. Scientists in the pre-modern
era often glimpsed what was
happening, but they had little conception of why it was happening, at least why it was happening on the deep
physical level. Moreover, the knowledge accumulated by Mesopotamian, Egyptian,
Chinese, Indian, African, Muslim, pre-Columbian American, ancient European,
aboriginal Australian, and Pacific island scholars was not shared to anywhere
remotely near the degree that knowledge is shared now, and the knowledge that
was shared was often conveyed haphazardly over a very long period of time.
Our brief examination of the
scientific progress, especially in physics and astronomy, of various cultures
of the pre-modern era reveals that their knowledge of the physical world was
sketchy at best, uneven, and riddled with religious conceptions that obscured
rather than clarified the workings of nature. Knowledge of how the world worked
was crude—there is no way of denying it. In every instance, supernatural and
mythological thinking pervaded the knowledge that was gathered. Before the emergence
of the modern scientific era, there was little attempt made to distinguish
between discovery and belief, and indeed, discovery was almost always put in
the service of belief.
Even the much-vaunted Greek
exploration of the world was filled with error and misconceptions. But it
captured the imagination of educated people in many parts of the world,
influencing thinking in south Asia, the Middle East, and most significantly,
the Roman world. It was the breadth of the Greek inquiry that aroused interest
in so many others, and the earnest way in which the best Greek scholars pursued
knowledge evoked widespread admiration.
The Greek Quest and Its Inheritors
In the sixth century BCE, the
philosophers who lived on the eastern shore of the Aegean Sea began their
project to figure out the shape and composition of the Earth, the Earth’s
position in space, and the motions of the various bodies, both terrestrial and
cosmic, that humans observed. The inquiry they started differed from all the
others to which I have just referred in one crucial sense: these thinkers were
going to make an attempt to understand the world without recourse to supernatural explanations.
The earliest of the Greek
philosophers who speculated about these matters was Thales (c. 620-c. 546 BCE),
from the town of Miletus. Thales speculated that water was the most significant
element, and that the Earth was a flat disc that floated in water. Thales is
also reputed to have predicted a solar eclipse in 585 BCE, but modern
researchers tend to discount this. Anaximander (c. 610-546 BCE) believed that the Earth was a cylinder that
floated unsupported in space, and that the surface we live on is the flat top
of the cylinder. Anaximenes (d. 528 BCE) believed that air was the source of
all things and that the Earth was a flat disc. We smile at what we suppose to
be the naïveté of such notions, but these philosophers did the best they could
with the extremely limited knowledge they had, and they did not try to invoke
mystical explanations when they were baffled.9
But not all pre-Socratic thinkers
separated the mystical from the physical. Pythagoras (circa 570-500 BCE) is
still a major figure in intellectual history, but nothing he wrote has
survived. He is known only through his acolytes. Pythagoras looked to
mathematics as the foundation of reality, seeking in it the nature of the
Universe. The Pythagoreans established certain key principles, such as the
qualities of geometric figures (most
notably triangles), advanced the notions of mathematical proof, and also
discovered the link between numbers and the sounds we perceive as music. But
the Pythagoreans’ discoveries were thoroughly imbued with mysticism, and they
ascribed magical qualities to numbers, using what can only be described as
numerological pseudo-science. The followers of Pythagoras believed all manner
of nonsense about the Universe (such as the weird notion of the “music of the
heavenly spheres”). Pythagoras’s name will always be attached both to the concepts
of mathematical logic and the sheer irrationalism of his followers.10
Plato (427-347 BCE) conceived of
a reality that was knowable only through philosophical reflection, which he
believed to be superior to sensory experience.
In The Republic, he asserts
that humans see only the shadows of reality. In Plato’s view, humans must tear
themselves away from the shadow-play that they have been taught is real and go
out into the blinding sunlight of true
reality. (See Inside the Cave, Inside
the Theater, in a later volume, for
more on this.) Elsewhere, Plato asserted that planetary motion is perfectly
circular in nature. It was Plato’s bizarre (to my mind) insistence that it must
be so because the realm of the stars and planets cannot be anything except
perfect and the circle was a “perfect” form. Plato was, in effect, imposing his
preferred notion of symmetry on the Universe, one grounded in aesthetic rather
than scientific principles.
Aristotle (384-322 BCE) must be
seen as the founder of Western physics, if only because of the extent of his
influence. He attempted to establish principles by which physics could proceed,
but unfortunately did not underpin his system with rigorous mathematical
reasoning, preferring to use philosophical ideas of his own devising. Aristotle
was also seemingly averse to experimentation. He believed, based on logic, that
if an object is twice as heavy as another object, it must fall twice as
rapidly. It never occurred to him, evidently, to conduct even the simplest test
of this utterly false hypothesis.
And while we quite properly honor
Aristotle for the range and depth of his thought, (and such contributions as
his work in zoology) we must always bear this fact in mind: modern physical
science only advanced when Aristotle’s ideas were overthrown. Virtually every
one of Aristotle’s views on the natural
world turned out to be mistaken, especially his Earth-centered cosmology. His
syllogistically-based reasoning turned out to be deeply flawed as well. Of
course, Aristotle cannot be blamed for the dogmatic way in which his ideas were
embraced and defended by others, but it must be said nonetheless that his
influence on science was, in certain respects, not a benign one.
In the Hellenistic Era, some
remarkable breakthroughs were made. Aristarchus of Samos, as noted earlier, was
the only major Greek thinker to postulate a Sun-centered Universe.
Eratosthenes, using only geometry and simple arithmetic, was able to estimate
the circumference of the Earth with surprising accuracy. [By the way, educated
people have, for many centuries, understood that the Earth was a sphere. It is
a myth that belief in a flat world was universal in the pre-modern era. It was
the dimensions of the sphere that
were in question, not the fact of the Earth’s sphericity itself.] Archimedes of
Syracuse, whose life spanned most of the third century BCE, can reasonably be
said to be the founder of mechanics and perhaps the greatest mathematician in
the Greco-Roman world. Archimedes did major work in hydrostatics, the
contribution for which he is best known. He also mathematically elucidated the
principle of leverage, and was able to
apply what he had learned in the construction of several innovative devices.
Further, his mathematical discoveries proved to be catalysts for the thinking
of mathematicians in proceeding centuries.11
In the fifth and fourth centuries
BCE Leucippus and his much better known disciple, Democritus (from Abdera),
promulgated the first true atomic hypothesis in the Western world. In their
conception, atoms were the smallest and most fundamental of all things,
indestructible and indivisible. They were too small to be seen, eternal,
constantly in motion, and of different shapes. It was the atoms coming together
to form objects or breaking apart to destroy objects and then recombining to
make new ones that accounted for the ever-changing physical processes around
us. The thinking of the atomists was later championed by the Roman poet
Lucretius (c. 100-c. 55 BCE). Lucretius, living in a tumultuous period of Roman
history, fixed his attention on what he considered timeless physical
principles. His hypotheses about atoms (not scientifically-based) included the
statement that sentient beings are composed of insentient atoms, that atoms are
colorless in themselves, and that no visible object is composed of a single
kind of atom. These are, of course, mere suppositions on his part, but he did
strike a surprisingly modern-sounding materialistic note in one particular
passage:
If anyone elects to
call the sea Neptune and the crops Ceres and would rather take Bacchus’ name in
vain than denote grape juice by its proper title, we may allow him to refer to
the earth as the Mother of the Gods, provided that he genuinely refrains from
polluting his mind with the foul taint of superstition. In fact, the earth is
and always has been an insentient being. The reason why it sends up countless
products in countless ways into the sunlight is simply that it contains atoms
of countless substances.12
Early in the Common Era, the work
of Claudius Ptolemy of Alexandria (~87-150 CE) became the accepted standard of
astronomical thought. In his works, Mathematical
Syntaxis and The Planetary Hypotheses,
he presented a thorough and seemingly consistent picture of celestial
mechanics, one that was successful in predicting the position of planets. It
was based on a system of elaborate epicycles (the purported movement of planets
in circles around an axis while they were also in orbit around the Earth) and a
world system in which the Earth was motionless, occupying a fixed position in
space. Ptolemy’s skill in mathematics and the success of his model in
preserving the Universe as it appears to be won him tremendous acclaim. His Mathematical Syntaxis came to be known,
ultimately, as The Almagest, and it
was considered, particularly by Arab scholars, to be the definitive picture of
physical reality.13
The European Middle Ages,
contrary to the opinion of certain observers from the 18th century
onwards, were not an intellectual wasteland. As we will note elsewhere, Medieval
civilization produced and disseminated a surprising range of technological
innovations. And it is worth remembering that thinkers and researchers
throughout the long European medieval era investigated many areas of the
natural world, accumulating an impressive body of data and observations.
Medieval scholars delved into the physical sciences in a number of ways,
looking at such topics as force, inertia, and mass, and Roger Bacon speculated
about the nature of light. Yet, after all is said and done, it must be said
that the greatest minds of the Middle Ages were concerned above all with two
main issues. The first was the nature of Christian doctrine and its
relationship with the real world, such as Peter Abelard’s attempt to describe
the limits of human reason in defining the Trinity,14 or Thomas
Aquinas’s attempt to prove that Christianity was compatible with, and
demonstrated by, reason. The second, which was thoroughly intertwined with the
first, was the attempt to preserve what were seen as the timeless and true
ideas of Greco-Roman civilization, such as Aristotle’s cosmology, and to
reconcile the ideas of the Greek philosophers with Christian theology. So while
it can be said that the Middle Ages were not bereft of scholarship, it must be
said that the scholarship of the era was used chiefly to buttress the accepted
worldview of the religious authorities of Europe, not to seek out new views
about the ultimate nature of the physical world.
The Modern Perspective Begins to Emerge
It was the seeming assault on the
religious worldview that accounted, in large part, for the hostility that
greeted the ideas of the Polish mathematician and astronomer Nikolai
Koppernigk, better known as Nicolaus Copernicus (1473-1543). It was Copernicus,
seeking to restore the simplicity and uniformity of circular planetary motion
to astronomy, who posited a Sun-centered Universe in his 1543 work De Revolutionibus Orbium Caelestium.
Copernicus (who wisely waited until he was on his death bed before authorizing
the book’s publication) set off a firestorm of controversy which was to have
far-reaching consequences. And in demonstrating that a Sun-centered system
simply made more mathematical sense than an Earth-centered one, he
(unwittingly) began the process of pushing humanity out of the central position
it had occupied in human thinking since time immemorial. (For more see the
chapter Science in a subsequent
volume.)
But the first truly immense
modern contributions to the Western understanding of the Universe, our Solar
System, and physical motion itself came not from Copernicus but from two
astronomers, one German, the other Italian, who set the stage for the true
revolution that was to come. The German was Johannes Kepler (1571-1630), who
rejected the teachings of his mentor Tycho Brahe, and destroyed geocentrism
once and for all. Kepler also elucidated the laws of planetary motion. He
proved that the orbits of the planets are elliptical rather than circular and
effectively eliminated Plato’s notion of the “perfection” of heavenly motions.
The other astronomer, the Italian, was Galileo Galilei (1564-1642). It was
Galileo’s genius that truly ignited what has somewhat misleadingly been called
the Scientific Revolution.
Galileo was an extraordinary
observer of the cosmos. Using a telescope based on a Dutch model but much
improved by Galileo’s own modifications, he observed the irregularities of the
Moon’s surface, recorded the activity of sunspots, and was the first human to
see the moons of Jupiter. Galileo was also a passionate and eloquent defender
of the Copernican System, and in his seminal work, Dialogue Concerning the Two Chief World Systems, published in 1632,
he so completely and thoroughly demonstrated the truth of the heliocentric view
of reality that he stirred the ire of
those authorities who still clung to the Ptolemaic System. Called before the
Roman Inquisition in 1633, Galileo recanted his findings under threat. But the
system of the world he proposed was gradually accepted by all but a stubborn
few.
Galileo also worked on the basic
laws of motion, developing the law of inertia (which describes the resistance
of objects to changes in their velocities), the law of uniform acceleration (in
a vacuum objects will fall at the same rate regardless of mass), and the effect
of gravity in causing this acceleration. For his work in astronomy and the
physical sciences, therefore, Galileo is justly considered one of the greatest
of all scientists.
So, much of the groundwork had
been laid by the early 17th century. But it would take an intellect
of extraordinary dimensions and capacity for innovation to bring all of the
various discoveries about the physical world together and illuminate them with
his own blindingly brilliant insights and conceptions. That intellect, of
course, belonged to Isaac Newton (1642-1727).
It was Newton, beginning in the
1660s, who brought all the strands together, building on the work of others
(such as the great 17th century mathematician Pierre de Fermat),
conceiving of new experiments, developing a new mathematical tool (the
calculus) to assist him, and establishing no less than an over-arching
conception of the Universe itself, one that persisted for almost 250 years
before it was modified. Newton’s most famous work was Philosophiae Naturalis Principia
Mathematica, published in
1687, a forbiddingly difficult work that summarized Newton’s mathematical
descriptions of motion and his ideas on universal gravitation. Newton
formulated the inverse square rule of gravitational attraction, and described a
Universe which essentially ran as a mechanism.
The most famous of Newton’s ideas
about the mechanics of the Universe were summarized as…
The Laws of Motion
In Newton’s own words, these laws are as follows (from Principia, 1729 edition, published two
years after Newton’s death):
Every body continues in its
state of rest, or of uniform motion in a right line, unless it is compelled to
change that state by forces impressed upon it.
The change of motion is
proportional to the motive force impressed; and is made in the direction of the
right line in which that force is impressed.
To every action there is
always opposed an equal reaction: or, the mutual actions of two bodies upon
each other are always equal, and directed to contrary parts.15
The wording of Newton’s laws has been refined over the years. These laws
are now typically expressed in this manner:
Law of inertia: Every
object persists in its state of rest or uniform motion in a straight line
unless it is compelled to change that state by forces impressed upon it.
Law of
acceleration: Force is
equal to the change in momentum (mV) per change in time. For a constant mass,
force equals mass times acceleration, F = ma.
Law of action and reaction: For every action, there is an equal and opposite reaction.
Law of action and reaction: For every action, there is an equal and opposite reaction.
It was these physical laws, along with Newton’s concept of gravitation,
that educated humans saw as the basis of physical reality itself—a reality that
was knowable and comprehensible. The precise, interconnecting, clockwork
Universe postulated by Newton was so orderly, so open to rational inquiry, so
overwhelmingly Euclidean in its straight lines, and so seemingly comprehensive
a description of reality that it engendered an excitement among the West’s
intellectuals. This excitement led to the conviction that if the laws of nature
itself were discernible and understandable, how much more so must be the laws
that govern human society and human history. Newton’s thought therefore had a
huge influence on the rise of the Enlightenment (Voltaire was particularly
taken by him), and it was Newton’s view of the Universe that shaped the view of
the Universe held by virtually all educated Westerners.
The Other Major Physical Laws
Over the course of the decades following Newton’s life, the physical and
chemical sciences expanded their inquiry into the nature of the world. Perhaps
no work was more important than the discovery of the laws that govern the
transference of heat from one body to another, and the conversion of energy and
heat into work. Beginning in the 1820s
with Sadi Carnot, this research was later carried forward by such figures as James Joule (who did significant work in ascertaining the properties of energy),
Rudolf Clausius and William Thomson (aka Lord Kelvin). By the 1860s, the basic thermodynamic rules
had been worked out, and with them, a major set of principles which govern our
reality.
The Laws of Thermodynamics
First Law of Thermodynamics
The First Law states that energy is conserved, or more formally, the change in internal energy of a system is
equal to the heat added to the system minus the work done by the system. In
other words, energy can be neither created nor destroyed. It can only be
converted from one form to another. (But see the discussion of Zero Point
Energy in the chapter Beginning.)
Second Law of Thermodynamics
The Second Law of Thermodynamics
is one of the most significant discoveries in the history of the physical
sciences. It is also one that is commonly misinterpreted. Stated succinctly, it
states that in a closed system,
energy-matter will invariably arrive at complete entropy, a state of total
non-action and permanent stasis. The implications of this are very significant.
It means that it is impossible for heat to move in any way except from a hot
object to a cooler one. It means that all energy will eventually be dissipated.
It means that order inevitably devolves into chaos. It means that all of
physical reality is, overall, in
complete thermal equilibrium. And it means that the entire Universe is headed,
ultimately, to a state of complete entropy.
Some opponents of evolution (or
at least of any evolutionary system that is not divinely guided) have seized on
these facts to maintain that the order and complexity we see around us could
not have arisen naturally. But a crucial fact must be understood: The
Earth is not a closed system, and living things are not closed systems. The Earth and its complexity will someday be
swallowed up in the death of the Sun, and the Milky Way Galaxy and all other
galaxies and all other physical entities will eventually dissipate and the
energy-matter of which they are composed will attain entropy. But the Earth
exists in a locally-open system.
Indeed, the Earth in space sits in the midst of a huge, ceaseless flood of
energy. P. W. Atkins has put it this way, in discussing the ability of life to
arise naturally:
When we come across a rabbit, there is no need to regard it as
designed. Rabbits have emerged as a pathway by which the Universe degenerates
and the quality of energy degrades. Rabbits, like primroses, pigs, and people,
are part of the great network, the cosmic interconnection that allows temporary
structures to emerge as degeneration ineluctably lowers the Universe toward its
final equilibrium.16
The key phrase here is “temporary
structures”. If we pour a cup of ink into a five gallon bucket of water, the
ink will not disperse immediately. It will form swirl like patterns and some of
it, affected by Brownian motion, will temporarily move upward after an initial
descent. It will, in short, produce temporary structures, but ultimately all
such structures will dissipate. All of the organization we see is, in effect, a
way that the Universe is expending its energy. Such expenditure can produce
elaborate results. And although that energy can construct organized objects
along the way, the ultimate outcome is still ordained: complete entropy.
Third Law of Thermodynamics
The Third Law deals with the
nature of matter at very low temperatures, and states simply that it is not
possible to bring matter to a temperature of absolute zero, which is 0 degrees
Kelvin, -273.15 degrees Celsius, and -459.67 degrees Fahrenheit. (The
temperature of outer space, by the way, is 2.7 degrees Kelvin.)17
In our consideration of how the
original rulebook was composed, we must also note the work of the chemists who
finally banished the archaic four elements of the Greco-Roman world and laid
the foundation for modern chemistry by discovering…
The Fundamental Chemical Laws
- Law of Mass
Conservation: During a chemical reaction, the total mass of
substances involved in the reaction does not change. This was first
ascertained by Antoine Lavoisier in the late 18th century.
- Law of
Definite (or Constant) Composition: The proportion of elements
in a chemical compound remains fixed. First published by Joseph-Louis
Proust in 1794.
- The Law of
Multiple Proportions: If two elements can form more than one
compound, the ratios of the elements that comprise the different compounds
(such as the difference between CO and CO2 ) are expressed in
whole numbers. This was first stated by John Dalton in the early 19th
century, and buttressed his belief in the reality of atoms.18
And finally, the basic rulebook
was seemingly complete with…
The Laws That Govern Electricity
The discovery of these laws was,
more than anyone else’s, the work of Michael Faraday and James Clerk Maxwell.
Many other researchers, of course, had studied electricity, and had identified
key aspects of it, but these two scientists achieved the greatest 19th
century breakthroughs in the field. The most important discoveries were:
· The Law of Induction. Discovered by Faraday in
1831. He proved that an electric field could be generated by a magnetic field,
and that a magnetic field could be generated by an electric one. The name of
this phenomenon is electromagnetic
induction.19
- The First Law of
Electrolysis (1832): In Faraday’s words, "the chemical action of a current of
electricity is in direct proportion to the absolute quantity of
electricity which passes."
- The Second Law of
Electrolysis (1833): the weights of the ions deposited by the
passage of the same quantity of electricity are in the proportion of their
chemical equivalents. 20
- Maxwell’s Equations. In 1861, in a work entitled On Physical Lines of Force, Maxwell
demonstrated that forces were actual entities, using the functioning of a
magnetic field as his example. He also identified light as an
electromagnetic phenomenon. His key equations were published in 1873 in A Treatise on Electricity and Magnetism.
In them he proved that electromagnetic waves travel at light speed. His
equations also put the laws discovered by Faraday, Karl Friedrich Gauss,
and André
Marie Ampère into
concise, mathematically rigorous
forms. Maxwell’s work was of immense importance. His discoveries
influenced Albert Einstein’s thought (see the next chapter) and helped lay
the basis for the entire modern world of electronics.21
From the laws of motion, the
study of optics, the calculus, the laws of thermodynamics, the fundamental chemical
laws, and the study of electricity sprang a host of other laws derived from
them, less comprehensive in nature but still tremendously effective at
describing the physical reality that humans dealt with on a daily basis. It
seemed by the mid-19th century that the Rulebook was (almost)
complete. But a revolution in our understanding of the world was in the offing,
one which would write an entirely new Rulebook to go along with—and at times,
supersede—the original one.
1. Plumley, J. M., “The Cosmology of Ancient
Egypt” in The World of Physics, Volume I:
The Aristotelian Cosmos and the Newtonian System, edited by Jefferson Hane Weaver, pp. 188-200
2. Lindberg, David C., The Beginnings of Western Science: The European Scientific Tradition in
Philosophical, Religious, and Institutional Context, 600 B.C. to A.D. 1450,
pp. 13-20
3. Needham, Joseph, Science & Civilisation in China. Volumes III and IV (Part 1), passim; Li, Dun J., The Ageless Chinese, pp. 94-96
4. Basham A. L., The Wonder That Was India, pp. 488-503
5. African megaliths are discussed in the June
2004 edition of Antiquity, linked
here:
http://findarticles.com/p/articles/mi_hb3284/is_300_78/ai_n29103192/?tag=content;col1
6. The decline in Arab science is discussed in
the AAAS’s journal Science, dated 3
June 2005, in an article by Wasim Maziak, located here:
http://www.sciencemag.org/cgi/reprint/308/5727/1416.pdf
7. The reference to Pawnee star observations is
from a journal article: Fletcher, Alice C. “Star Cult Among the
Pawnee-A Preliminary Report” in American
Anthropologist October-December, 1902 Vol.4(4):730-736. It is found
here:
http://www.publicanthropology.org/Archive/Aa1902.htm
8. The brief discussion of Aboriginal Australian
astronomy is drawn primarily (but not exclusively) from the article, “The
Astronomy of Aboriginal Australia” by Ray P. Norris and Duane W. Hamacher,
published by the International Astronomical Union in 2009.
9. Lindberg, pp. 25-32
10. Gottlieb, Anthony, The Dream of Reason: A History of Philosophy
from the Greeks to the Renaissance, pp. 21-40
11. Lloyd, G. E. R., Greek Science After Aristotle, pp. 40-58
12. Lucretius, On the Nature of the Universe, p. 79
13. Lindberg, pp. 98-105
14. Stanford Encyclopedia of
Philosophy, http://plato.stanford.edu/entries/abelard/#The
15.
The excerpt from the 1729 edition of Newton’s Principia Mathematica is here:
http://gravitee.tripod.com/axioms.htm
16.
Atkins, P.W., The Second Law, p. 190
17.
The section on thermodynamics benefited from information found on Hyperphysics
and NASA’s web site, and P. W. Atkins’s study The Second Law. Information also came from John Gribbins’ The Scientists and W.C. Dampier’s A History of Science.
18. Oxtoby, David W., Gillis, H. Pat, and
Campion, Alan, Principles of Modern
Chemistry, pp. 10-12
19. A useful and complete discussion of Faraday’s
Law of Induction may be found here:
http://ocw.mit.edu/courses/physics/8-02sc-physics-ii-electricity-and-magnetism-fall-2010/faradays-law/MIT8_02SC_notes21.pdf
20. A concise summary of Faraday’s two Laws of
Electrolysis may be found here:
http://chemistry.proteincrystallography.org/article92.html
21. A concise examination of James Clerk
Maxwell’s equations, and a brief biography of Maxwell may be found here: http://scienceworld.wolfram.com/physics/MaxwellEquations.html.
A more technical examination of Maxwell’s Equations may be found here:
http://hyperphysics.phy-astr.gsu.edu/hbase/electric/maxeq.html#c2
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