Review: Treatise on Light

Review: Treatise on Light
Treatise on Light (Illustrated Edition)

Treatise on Light by Christiaan Huygens

My rating: 4 of 5 stars

But sound, as I have said above, only travels 180 toises in the same time of one second: hence the velocity of light is more than six hundred thousand times greater than that of sound.


This little treatise is included in volume 34 of the Great Books of the Western World, which I used to read Newton’s Principia and his Opticks. In this edition the Treatise comes out to about 50 pages, so I decided it was worth combing through. Christiaan Huygens is one of the relatively lesser known figures of the scientific revolution. But even a brief acquaintance with his life and work is enough to convince one that he was a thinker of gigantic proportion, in a league with Descartes and Leibniz. His work in mechanics prefigured Newton’s laws, and his detailed understanding of the physics of pendulums (building from Galileo’s work) allowed him to invent the pendulum clock. His knowledge of optics also improved the technology of telescope lenses, which in turn allowed him to describe the rings of Saturn and discover the first of Saturn’s moons, Titan.

Apart from all this, Huygens was the progenitor of the wave theory of light. This is in contrast with the corpuscular theory of light (in which light is conceived of as little particles), put forward 14 years later in Isaac Newton’s Opticks. Newton’s theory quickly became more popular, partially because of its inherent strength, and partially because it was Isaac Newton who proposed it. But Huygens’s wave theory was revived and seemingly confirmed in the 19th century by Thomas Young and Augustin-Jean Fresnel.

Essentially, Huygens’s idea was to use sound as an analogy for light. Just as sound consists of longitudinal waves (vibrating in the direction they travel) propagated by air, so light must consist of much faster waves propagated by some other, finer medium, which Huygens calls the ether. He conceives of a luminous object, such as a burning coal, as emitting circular waves at every point in its surface, spreading in every direction throughout a space.

Like Newton, Huygens was aware of Ole Rømer’s calculation of the speed of light. It had long been debated whether light is instantaneous or merely moves very quickly. Aristotle rejected the second option, thinking it inconceivable that something could move so fast. Little progress had been made since then, because making a determination of light’s speed presents serious challenges: not only is light several orders of magnitude faster than anything in our experience, but since light is the fastest thing there is, and the bearer of our information, we have nothing to measure it against.

This changed once astronomers began measuring the movement of the Jovian moons. Specifically, the moon Io is eclipsed by Jupiter every 42.5 hours; but as Rømer measured this cycle at different points in the year, he noticed that it varied somewhat. Realizing that this likely wasn’t due to the moon’s orbit itself, he hypothesized that it was caused by the varying distance of Earth to Jupiter, and he used this as the basis for the first roughly accurate calculation of the speed of light. Newton and Huygens both accepted the principle and refined the results.

Huygens gets through his wave theory, reflection, and refraction fairly quickly; and in fact the bulk of this book is dedicated to an analysis of Icelandic spar—or, as Huygens calls it, “The Strange Refraction of Icelandic Crystal.” This is a type of crystal that is distinctive for its birefringence, which means that it refracts light of different polarizations at different angles, causing a kind of double image to appear through the crystal. Huygens delves into a detailed geometrical analysis of the crystal, which I admit I could not follow in the least; nevertheless, the defining property of polarization eludes him, since to understand it one must conceive of light as a transverse, not a longitudinal, wave (that is, unlike a sound wave, which cannot be polarized). In the end, he leaves this puzzling property of the crystal for future scientists, but not without laying the groundwork of observation and theory that we still rely upon.

All together, this little treatise is a deeply impressive work of science: combining sophisticated mathematical modeling with careful experimentation to reach surprising new conclusions. Huygens illustrates perfectly the rare mix of gifts that a scientist must have in order to be successful: a sharp logical mind, careful attention to detail, and a creative imagination. The world is full of those with only one or two of these qualities—brilliant mathematicians with no interest in the real world, obsessive recorders and cataloguers with no imagination, brilliant artists with no gift for logic—but it takes the combination to make a scientist of the caliber of Huygens.



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Review: The Age of Napoleon

Review: The Age of Napoleon
The Age of Napoleon (The Story of Civilization, #11)

The Age of Napoleon by Will Durant

My rating: 4 of 5 stars

Finally I have come to the last book in this series. It was four long years ago when I first read The Life of Greece; and these have been the four most educational years of my life, in part thanks to The Story of Civilization. Though I have had some occasions to criticize Durant over the years, the fact that I have dragged myself through ten lengthy volumes of his writing is compliment enough. Now all I need to do is to read the first volume of the series, Our Oriental Heritage, in order to bring my voyage to its end. (I originally skipped it because it struck me as absurd to squeeze all of Asia into one volume and then cover Europe in ten; but for the sake of completion I suppose I will have to read it.)

Durant did not plan to write this volume. His previous book, Rousseau and Revolution, ends with a final bow. But Durant lived longer than he anticipated (he died at 96), so he decided to devote his final years to a bonus book on Napoleon. It is extraordinarily impressive that he and his wife, Ariel, could have maintained the same high standard of writing for so many decades; there is no notable decline in quality in this volume, which makes me think that Durant should have written a book on healthy living, too.

The Age of Napoleon displays all of Durant’s typical merits and faults. The book begins with a bust: Durant rushes through the French Revolution, seeming bored by the whole affair, seeing the grand drama only as a disruptive prelude to Napoleon. This showcases Durant’s inability to write engagingly about processes and events; when there is no central actor on which to focus his attention, the writing becomes colorless and vague. Further, it also shows that Durant, while a strong writer, was a weak historian: he provides very little analysis or commentary on what is one of the most important and influential events in European history.

When Napoleon enters the scene, the book becomes appreciably more lively. For reasons that largely escape me, Durant was an unabashed admirer of the diminutive general, and sees in Napoleon an example of the farthest limits of human ability. Though normally uninterested in the details of battles and campaigns, Durant reveals a heretofore hidden talent for military narration as he covers Napoleon’s military triumphs and defeats. Some parts of the book, particularly near the end, are genuinely thrilling—an adjective that rarely comes to mind with Durant’s staid and steady style. Granted, he had an extraordinary story to tell; Napoleon’s rise, fall, rise again, and fall again are as epic as anything in Plutarch.

But as usual Durant shines most brightly in his sections on artists, poets, and philosophers. The greatest section of this book is that on the Romantic poets: Wordsworth, Coleridge, Shelley, and Byron. (For some reason, Durant sees fit to exclude Keats, even though the scope of Keats’ life falls entirely within that of Napoleon.) Less engaging, though still worthwhile, was Durant’s section on the German idealist philosophers; and his miniature biography of Beethoven was a stirring tribute. Many writers who properly belong in this volume were, however, paid their respects in the previous, most notably Goya and Goethe, since Durant thought that this volume would never appear.

Though I am happy to reach the end, I am saddened that I cannot continue the story of Europe’s history any further forward with Durant. He is an inspiring guide to the continent’s cultural treasures.



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Review: Newton’s Principia

Review: Newton’s Principia
The Principia

The Principia by Isaac Newton

My rating: 5 of 5 stars

It is shown in the Scholium of Prop. 22, Book II, that at the height of 200 miles above the earth the air is more rare than it is at the surface of the earth in the ratio of 30 to 0.0000000000003998, or as 75,000,000,000,000 to 1, nearly.


Marking this book as “read” is as much an act of surrender as an accomplishment. Newton’s reputation for difficulty is well-deserved; this is not a reader-friendly book. Even those with a strong background in science and mathematics will, I suspect, need some aid. The historian of mathematics Colin Pask relied on several secondary sources to work his way through the Principia in order to write his excellent popular guide. (Texts by S. Chandrasekhar, J. Bruce Brackenridge, and Dana Densmore are among the more notable vade mecums for Newton’s proofs.) Gary Rubenstein, a math teacher, takes over an hour to explain a single one of Newton’s proofs in a series of videos (and he had to rely on Brackenridge to do so).

It is not that Newton’s ideas are inherently obscure—though mastering them is not easy—but that Newton’s presentation of his work is terse, dense, incomplete (from omitting steps), and at times cryptic. Part of this was a consequence of his personality: he was a reclusive man and was anxious to avoid public controversies. He says so much himself: In the introduction to Book III, Newton mentions that he had composed a popular version, but discarded it in order to “prevent the disputes” that would arise from a wide readership. Unsurprisingly, when you take material that is intrinsically complex and then render it opaque to the public, the result is not a book that anyone can casually pick up and understand.

The good news is that you do not have to. Newton himself did not advise readers, even mathematically skilled readers, to work their way through every problem. This would be enormously time-consuming. Indeed, Newton recommended his readers to peruse only the first few sections of Book I before moving on directly to Book III, leaving most of the book completely untouched. And this is not bad advice. As Ted said in his review, the average reader could gain much from this book by simply skipping the proofs and calculations, and stopping to read anything that looked interesting. And guides to the Principia are certainly not wanting. Besides the three mentioned above, there is the guide written by Newton scholar I. Bernard Cohen, published as a part of his translation. I initially tried to rely on this guide; but I found that, despite its interest, it is mainly geared towards historians of science; so I switched to Colin Pask’s Magnificent Principia, which does an excellent job in revealing the importance of Newton’s work to modern science.

So much for the book’s difficulty; on to the book itself.

Isaac Newton’s Philosophiæ Naturalis Principia Matematica is one of the most influential scientific works in history, rivaled only by Darwin’s On the Origin of Species. Quite simply, it set the groundwork for physics as we know it. The publication of the Principia, in 1687, completed the revolution in science that began with Copernicus’s publication of De revolutionibus orbium coelestium over one hundred years earlier. Copernicus deliberately modeled his work on Ptolemy’s Almagest, mirroring the structure and style of the Alexandrian Greek’s text. Yet it is Newton’s book that can most properly be compared to Ptolemy’s. For both the Englishman and the Greek used mathematical ingenuity to draw together the work of generations of illustrious predecessors into a single, grand, unified theory of the heavens.

The progression from Copernicus to Newton is a case study in the history of science. Copernicus realized that setting the earth in motion around the sun, rather than the reverse, would solve several puzzling features of the heavens—most conspicuously, why the orbits of the planets seem related to the sun’s movement. Yet Copernicus lacked the physics to explain how a movable earth was possible; in the Aristotelian physics that held sway, there was nothing to explain why people would not fly off of a rotating earth. Furthermore, Copernicus was held back by the mathematical prejudices of the day—namely, the belief in perfect circles.

Johannes Kepler made a great stride forward by replacing circles with ellipses; this led to the discovery of his three laws, whose strength finally made the Copernican system more efficient than its predecessor (which Copernicus’s own version was not). Yet Kepler was able to provide no account of the force that would lead to his elliptical orbits. He hypothesized a sort of magnetic force that would sweep the planets along from a rotating sun, but he could not show why such a force would cause such orbits. Galileo, meanwhile, set to work on the new physics. He showed that objects accelerate downward with a velocity proportional to the square of the distance; and he argued that different objects fall at different speeds due to air resistance, and that acceleration due to gravity would be the same for all objects in a vacuum. But Galileo had no thought of extending his new physics to the heavenly bodies.

By Newton’s day, the evidence against the old Ptolemaic system was overwhelming. Much of this was observational. Galileo observed craters and mountains on the moon; dark spots on the sun; the moons of Jupiter; and the phases of Venus. All of these data, in one way or another, contradicted the old Aristotelian cosmology and Ptolemaic astronomy. Tycho Brahe observed a new star in the sky (caused by a supernova) in 1572, which confuted the idea that the heavens were unchanging; and observations of Haley’s comet in 1682 confirmed that the comet was not somewhere in earth’s atmosphere, but in the supposedly unchanging heavens.

In short, the old system was becoming unsustainable; and yet, nobody could explain the mechanism of the new Copernican picture. The notion that the planets’ orbits were caused by an inverse-square law was suspected by many, including Edmond Haley, Christopher Wren, and Robert Hooke. But it took a mathematician of Newton’s caliber to prove it.

But before Newton published his Principia, another towering intellect put forward a new system of the world: René Descartes. Some thirty years before Newton’s masterpiece saw the light of day, Descartes published his Principia Philosophiæ. Here, Descartes summarized and systemized his skeptical philosophy. He also put forward a new mechanistic system of physics, in which the planets are borne along by cosmic vortexes that swirl around each other. Importantly, however, Descartes’s system was entirely qualitative; he provided no equations of motion.

Though Descartes’s hypothesis has no validity, it had a profound effect on Newton, as it provided him with a rival. The very title of Newton’s book seems to allude to Descartes’s: while the French philosopher provides principles, Newton provides mathematical principles—a crucial difference. Almost all of Newton’s Book II (on air resistance) can be seen as a detailed refutation of Descartes’s work; and Newton begins his famous General Scholium with the sentence: “The hypothesis of vortices is pressed with many difficulties.”

In order to secure his everlasting reputation, Newton had to do several things: First, to show that elliptical orbits, obeying Kepler’s law of equal areas in equal times, result from an inverse-square force. Next, to show that this force is proportional to the mass. Finally, to show that it is this very same force that causes terrestrial objects to fall to earth, obeying Galileo’s theorems. The result is Universal Gravity, a force that pervades the universe, causing the planets to rotate and apples to drop with the same mathematical certainty. This universal causation effectively completes the puzzle left by Copernicus: how the earth could rotate around the sun without everything flying off into space.

The Principia is in a league of its own because Newton does not simply do that, but so much more. The book is stuffed with brilliance; and it is exhausting even to list Newton’s accomplishments. Most obviously, there are Newton’s laws of motion, which are still taught to students all over the world. Newton provides the conceptual basis for the calculus; and though he does not explicitly use calculus in the book, a mathematically sophisticated reader could have surmised that Newton was using a new technique. Crucially, Newton derives Kepler’s three laws from his inverse-square law; and he proves that Kepler’s equation has no algebraic solution, and provides computational tools.

Considering the mass of the sun in comparison with the planets, Newton could have left his system as a series of two-body problems, with the sun determining the orbital motions of all the planets, and the planets determining the motions of their moons. This would have been reasonably accurate. But Newton realized that, if gravity is truly universal, all the planets must exert a force on one another; and this leads him to the invention of perturbation theory, which allows him, for example, to calculate the disturbance in Saturn’s orbit caused by proximity to Jupiter. While he is at it, Newton calculates the relative sizes and densities of the planets, as well as calculates where the center of gravity between the gas giants and the sun must lie. Newton also realized that gravitational effects of the sun and moon are what cause terrestrial tides, and calculated their relative effects (though, as Pask notes, Newton fudges some numbers).

Leaving little to posterity, Newton realized that the spinning of a planet would cause a distortion in its sphericity, making it marginally wider than it is tall. Newton then realized that this slight distortion would cause tidal locking in the case of the moon, which is why the same side of the moon always faces the earth. The slight deformity of the earth is also what causes the procession of the equinoxes (the very slow shift in the location of the equinoctial sunrises in relation to the zodiac). This shift was known at least since Ptolemy, who gave an estimate (too slow) of the rate of change, but was unable to provide any explanation for this phenomenon.

The evidence mustered against Descartes’s theory is formidable. Newton describes experiments in which he dropped pendulums in troughs of water, to test the effects of drag. He also performed experiments by dropping objects from the top of St. Paul’s Cathedral. What is more, Newton used mathematical arguments to show that objects rotating in a vortex obey a periodicity law that is proportional to the square of the distance, and not, as in Kepler’s Third Law, to the 3/2 power. Most convincing of all, Newton analyzes the motion of comets, showing that they would have to travel straight through several different vortices, in the direction contrary to the spinning fluid, in order to describe the orbits that we observe—a manifest absurdity. While he is on the subject of comets, Newton hypothesizes (correctly) that the tail of comets is caused by gas released in proximity to the sun; and he also hypothesizes (intriguingly) that this gas is what brings water to earth.

This is only the roughest of lists. Omitted, for example, are some of the mathematical advances Newton makes in the course of his argument. Even so, I think that the reader can appreciate the scope and depth of Newton’s accomplishment. As Pask notes, between the covers of a single book Newton presents work that, nowadays, would be spread out over hundreds of papers by thousands of authors. The result is a triumph of science. Newton not only solves the longstanding puzzle of the orbits of the planets, but shows how his theory unexpectedly accounts for a range of hitherto separate and inexplicable phenomena: the tides, the procession of the equinoxes, the orbit of the moon, the behavior of pendulums, the appearance of comets. In this Newton demonstrated what was to become the hallmark of modern science: to unify as many different phenomena as possible under a single explanatory scheme.

Besides setting the groundwork for dynamics, which would be developed and refined by Euler, d’Alembert, Lagrange, Laplace, and Hamilton in the coming generations, Newton also provides a model of science that remains inspiring to practitioners in any field. Newton himself attempts to enunciate his principles, in his famous Rules of Reasoning. Yet his emphasis on inductivism—generalizing from the data—does not do justice to the extraordinary amount of imagination required to frame suitable hypotheses. In any case, it is clear that Newton’s success was owed to the application of sophisticated mathematical models, carefully tested against collections of physical measurements, in order to unify the greatest possible number of phenomena. And this was to become a model for other intellectual disciples to aspire to, for good and for ill.

A striking consequence of this model is that its ultimate causal mechanism is a mathematical rule rather than a philosophical principle. The planets orbit the sun because of gravity, whose equations accurately predict their motions; but what gravity is, why it exists, and how it can affect distant objects, is left completely mysterious. This is the origin of Newton’s famous “I frame no hypothesis” comment, in which he explicitly restricts himself to the prediction of observable events rather than speculation on hidden causes (though he was not averse to speculation when the mood struck him). Depending on your point of view, this shift in emphasis either made science more rational or more superficial; but there is little doubt that it made science more effective.

Though this book is too often impenetrable, I still recommend that you give it a try. Few books are so exalting and so humbling. Here is on display the furthest reaches of the power of the human intellect to probe the universe we live in, and to find hidden regularities in the apparent chaos of experience.



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Historic Hudson Homes: Kykuit

Historic Hudson Homes: Kykuit
John D. Rockefeller Sr.

By common consent, the richest man in modern history was John D. Rockefeller. At his peak he was worth at least three times more than the world’s current richest man, Jeff Bezos—over $300 billion to Bezos’s $112 billion. In a world before income taxes or antitrust laws, it was possible to amass fortunes which (one hopes) would be impossible today. Strangely, however, this living embodiment of Mammon did not have extravagant tastes. To the contrary, for a man of such unlimited resources Rockefeller was known for his simple, even puritanical, ways. According to Ron Chernow, a recent biographer, Rockefeller had a habit of buying homes and keeping the original decoration, even if it was absurdly out of keeping with his own taste, just to avoid an unnecessary expense.

Thus when John decided to buy a property near his brother William’s estate (Rockwood), near the Hudson River, he simply stayed in the pre-existing houses. (William’s Rockwood mansion has since been torn down, but the property has been transformed into a wonderful park.) The spot Rockefeller chose occupies the highest point in the Pocantico Hills overlooking the Hudson; it is named Kykuit from the Dutch word kijkuit, which means “lookout.” Likely enough Rockefeller would have been satisfied indefinitely with a fairly modest dwelling, had not his loyal son, John D. Rockefeller, Jr., decided to take charge of a manor house to be built for his father.

Junior and his wife, Abby Aldrich, set to work on an ambitious, architecturally eclectic design. They worried about every detail, as they knew how exacting and finicky the paterfamilias could be; the planning and construction took six painstaking years; the couple even took the precaution of sleeping in every room in the house, just to be sure that it was perfect. Nevertheless, John the father was unsatisfied; and he could not conceal his dissatisfaction. He was disturbed, for example, that the servants’ door was right underneath his bedroom window, so he could hear it clapping all day. Eventually (and doubtless to his son’s dismay) Rockefeller concluded that the house needed to be completely remodeled; and thus the current, Classical Revival form of the house came into being.

(An amateur landscape designer, Rockefeller was also dissatisfied with the work of Frederick Law Olmsted, whom you may remember as the designer of Central Park. Senior decided to do the landscaping himself.)

As in Sunnyside, tours are given by the Historic Hudson Valley. But you cannot go directly to the Kykuit property. To visit, you must buy a ticket in the gift shop of Philipsburg Manor, another historic site (a 17th century farm) in Sleepy Hollow, right across from the Cemetery. After you sign up for a tour, you board a small bus, which transports you on the 10 minute ride to the property. A cheesy informational audio clip plays during the trip, giving some brief background information about the family and the property. This sets the scene for the tour guide. I have, incidentally, heard that the content of the tour can vary significantly depending on the guide’s interests.

As the bus rolls in, through the gates and beyond the walls—passing by a “play house” still used by the Rockefeller family (many of whom still live somewhere on the massive estate)—one gets a sense of the private, exclusive, and isolated world inhabited by the world’s richest man. Widely known and, for a time, almost universally hated, Rockefeller needed to create his own refuge. My favorite detail was the tunnel underneath the mansion that was used to make deliveries without disturbing Rockefeller’s rest.Kykuit_facade

The bus deposited us in front of the house, near an impressive Oceanus fountain, copied from a fountain in Florence. Ivy crawls up the stone facade, all the way up to the neoclassical tympanum. An eagle crowns the top, displaying the family crest. From there the guide led us up onto the porch, where two strikingly modern statues stand flanking the doorway. This is a constant feature in Kykuit: the juxtaposition between classic and contemporary tastes. John D. Rockefeller himself had very little taste in art, conservative or otherwise; his son, Junior, was enamored of the past—Greek, Medieval, even classical Chinese. Meanwhile, Junior’s wife, Abby, and his son, Nelson, were important patrons of modern art. Thus the house is an, at times, uneasy incorporation of these divergent tastes.kykuit_side

As a case in point, there are beautiful examples of Chinese porcelain on display throughout the house, protected by plexiglass cases. (The guide explained the glass was installed to protect them from playing children.) In a room used by Nelson Rockefeller there is also the vice-presidential flag, commemorating his term under Gerald Ford. Nelson wanted to be president himself, and he had the experience to do it—he was the governor of New york from 1959-72—but according to Ron Chernow, his divorce made him an unpalatable candidate. (How times have changed!) There were also portraits of the Rockefellers, and a phenomenal bust of the bald, decrepit, and yet mesmerizing John D. Rockefeller Senior—whom I was excited to meet, since I had just read a book about him.

After this, our guide led us into the gardens. The most notable feature of these are the modernist statues scattered about—gruesome metal bodies amid neat hedgerows. Unsurprising for such a commanding spot, the view is excellent. On a tolerably clear day you can see all the way to Manhattan from the back porch. I imagined lounging on an easy chair, sipping some very posh drink—for some reason a mint julep comes to mind—and contemplating the Hudson. But of course the Rockefellers were Baptist stock, and teetotallers all, so the drink is pure fantasy. Beyond view (and beyond the scope of the tour) was the reversible nine-hole golf course that Rockefeller used with Baptist scrupulousness; after God and Mammon, golf was his top priority. Likely Rockefeller Senior would have been shocked and appalled by the massive modernist statue (resembling an alien squid) that was airdropped by helicopter into place on the property during his grandson’s tenure.

Then we made our way inside to visit the art gallery in the basement. This includes original works by many modern artist, the most famous being Andy Warhol; but the best works on display are undoubtedly the Picasso tapestries. These were commissioned by Nelson Rockefeller, to be made by Madame de la Baume Dürrbach, for the purpose of making his works easier to display. The biggest of these tapestries was a copy of Guernica, now on display at the United Nations building. Of the ones in this private gallery, my favorite is of Picasso’s Three Musicians (the original hangs in the MoMA). Even when I toured Kykuit as a child, tired, hungry, and very bored with all this old-people nonsense, I was impressed that a person could have Picassos in his basement; and my opinion has not changed.

To speed through the tour somewhat, we eventually boarded the bus again to go back to Philipsburg Manor. However, we did stop at the stables on the way back, which was filled with antique horse carriages and old luxury automobiles. In addition to being an avid golfer, you see, Rockefeller Senior also loved to go riding in his carriage and, in later life, to take fast drives in his fancy cars. (A strange detail from the biography is that, in later life, the upright and conservative Rockefeller would grope women during these rides. He was a man of many contradictions.)

This fairly well sums up my visit to Kykuit. It is an impressive place—six floors, forty rooms, and twenty bedrooms. Even so, considering Rockefeller’s vast fortune, and considering the kinds of monstrous mansions that other rich families—most notoriously the Vanderbilts—built for themselves, it is a restrained edifice. One can see the old Baptist tastes coming through, even amid all this wealth and splendor. Even so, I cannot imagine living in such a private world, so far removed from pesky neighbors and city noise. But the Rockefellers apparently had no trouble house; Nelson Rockefeller lived in it up until his death in 1979, when it was donated for use as a museum.

Before ending this post, I should also mention two nearby Rockefeller monuments.

The first is the Union Church. This is one of two non-denominational churches (the other being Riverside Church in Manhattan) commissioned by John D. Rockefeller, Jr. It is an attractive and modest building, made of cut stone with a steeply slanting roof. Though the church does have an active congregation, most of the time its main use is as a tourist attraction, also administered by Historic Hudson Valley. The church is notable for its stained glass. The rose window was designed by the modernist pioneer Henri Matisse; according to the guide (I was the only one on the “tour”), it was the last work the artist ever completed. It is a simple, abstract pattern, yet subtly interesting to look at. More memorable, however, is the series of stained-glass windows completed by Marc Chagall, using Biblical scenes to commemorate deceased members of the Rockefeller family. Though I am normally not greatly fond of Chagall’s work, I must say that the strong, simple colors of Chagall’s windows created a pleasant atmosphere—if not exactly profoundly religious.

Stone Barns

The second is Stone Barns, a center for sustainable agriculture established by David Rockefeller (Junior’s youngest son). (Sharing the Rockefeller talent for long life, David passed away just last year, at the age of 101.) The center lies on the edge of the Rockefeller State Park, alongside Bedford Road, surrounded on all sides by rolling farmland; in fact, the park’s paths extend into the property, making it a lovely place to stroll about. The buildings of the complex are completed in a style reminiscent of Union Church, as well as of the Cloisters museum in Manhattan: deep-grey cut stone. The farm is dedicated to growing high-quality produce and livestock without using anything “artificial.” Some of its products are served in the famous Blue Hill restaurant on the property—a place so absurdly fancy and expensive that, judging by the way things are going, I doubt I will ever get an opportunity to try. The menu, which costs $258 per person, consists of many different courses of artisanal dishes using esoteric ingredients. I have bought cheaper transatlantic plane tickets.

Review: Two New Sciences

Review: Two New Sciences

Two New Sciences/A History of Free FallTwo New Sciences/A History of Free Fall by Galileo Galilei

My rating: 4 of 5 stars

But in what seas are we inadvertently engulfing ourselves, bit by bit? Among voids, infinities, indivisibles, and instantaneous movements, shall we ever be able to reach harbor even after a thousand discussions?

When most people think about the Copernican revolution, the name that comes most readily to mind—more even than that of Copernicus himself—is that of Galileo Galilei. It was he, after all, who fought most valiantly for the acceptance of the theory, and it was he who suffered the most for it—narrowly escaping the tortures of the Inquisition. It was also Galileo who wrote the most famous book to come out of the revolution: Dialogue Concerning the Two Chief World Systems, whose publication most directly resulted in Galileo’s punishment.

Some years ago I read and admired that eloquent work. But lately, after slogging my way through Ptolemy, Copernicus, and Kepler, I have come to look upon Galileo’s famous dialogue with more suspicion. For it was only through the work of Kepler that the Copernican system became unquestionably more efficient than the Ptolemaic as a method of calculating celestial movements; and though Kepler was a contemporary and a correspondent of Galileo, the Italian scientist was not aware of the German’s groundbreaking innovations. Thus the version of heliocentrism that Galileo defends is Copernicus’s original system, preserving much of the cumbrous aspects of Ptolemy—epicycles, perfect circles, and separate tables for longitude and latitude, etc.

Added to this, the most decisive advantages in favor of Copernicus’s system over Ptolemy’s—explaining why the planets’ orbits seem related to the sun’s—are given little prominence, if they are even mentioned. Clearly, a rigorous defense of Copernicanism would require a demonstration that it made calculating heavenly positions easier and more accurate; but there is nothing of the kind in Galileo’s dialogue. As a result, Galileo comes across as a propagandist rather than a scientist. But of course, even if his famous dialogue was pure publicity, Galileo would have a secure place in the annals of astronomy from his observations through his improved telescope: of the lunar surface, of the moons of Jupiter, of the rings of Saturn, of sunspots, and of the phases of Venus. But I doubt this would be enough to earn him his reputation as a cornerstone of the scientific revolution.

This book provides the answer. Here is Galileo’s real scientific masterpiece—one of the most important treatises on mechanics in history. Rather inconveniently, its title is easy to confuse with Galileo’s more famous dialogue; but in content Two New Sciences is an infinitely more serious work than Two Chief World Systems. It is also a far less impassioned work, since Galileo wrote it when he was an old man under house arrest, not a younger man in battle with the Catholic authorities. This inevitably makes the book rather more boring to read; yet even here, Galileo’s lucid style is orders of magnitude more pleasant than, say, Kepler’s or Ptolemy’s.

As in Two Chief World Systems, the format is a dialogue between Simplicio, Sagredo, and Salviati (though Galileo cheats by having Salviati read from his manuscript). Unlike the earlier dialogue, however, Simplicio is not engaged in providing counter-arguments or in defending Aristotle; he mostly just asks clarifying questions. Thus the dialogue format only serves to enliven a straightforward exposition of Galileo’s views, not to simulate a debate.

The book begins by asking why structures cannot be scaled up or down without changing their properties. Why, for example, will a small boat hold together if slid down a ramp, but a larger boat fall to pieces? Why does a horse break its leg it falls down, but a cat can fall from the same distance entirely uninjured? Why are the bones of an elephant proportionately so much squatter and fatter than the bones of a mouse? In biology this is known as the science of allometry, and personally I find it fascinating. The key is that, when increasing size, the ratio of volume to area also increases; thus an elephant’s bones must support far more weight, proportionally, than a mouse’s. As a result, inventors and engineers cannot just scale up contraptions without providing additional support—quite a counter-intuitive idea at the time.

Galileo next delves into infinities. This leads him into what is called “Galileo’s paradox,” but is actually one of the defining properties of infinite sets. This states that the parts of an infinite set can be equal to the whole set; or in other words, they can both be infinite. For example, though the number of integers with a perfect square root (4, 9, 16…) will be fewer than the total number of integers in any finite set (say, from 1-100), in the set of all integers there is an infinite number of integers with a perfect square roots; thus the part is equal to the whole. Galileo also takes a crack at Aristotle’s wheel paradox. This is rather dull to explain; but suffice to say it involves the simultaneous rotation of rigid, concentric circles. Galileo attempts to solve it by postulating an infinite number if infinitesimal voids in the smaller circle, and in fact uses this as evidence for his theory of infinitesimals.

As a solution to the paradox, this metaphysical assertion fails to do justice to its mathematical nature. However, the concept of infinitely small instants does help to escape from of the Zeno-like paradoxes of motion, to which Greek mathematics was prone. For example, if you imagine an decelerating object spending any finite amount of time at any definite speed, you will see that it never comes to a full stop: the first second it will travel one meter, the next second only half a meter, the next second a quarter of a meter, and so on ad infinitum. The notion of deceleration taking places continuously over an infinite number of infinitely small instants helped to escape this dilemma (though it is still unexplained how a thing can be said to “move” during an instant).

Galileo had need of such concepts, since he was writing long before Newton’s calculus and too early to be influenced by Descartes’s analytical geometry. Thus the mathematical apparatus of this book is Greek in form. Galileo’s calculations consist exclusively of ratios between lines rather than equations; and he establishes these ratios using Euclid’s familiar proofs. Consequently, his mechanics is relational or relativistic—able to give proportions but not exact quantities.

This did not stop Galileo from anticipating much of Newton’s system. He establishes the pendulum as an exemplar of continually accelerated motion, and shows that pendulums of the same length of rope swing at the same rate, regardless of the height from which they fall. He asserts that an object, once started in motion, would continue in motion indefinitely were it not for friction and air resistance. He recounts experiments of dropping objects of different masses from the same distance, and seeing them land at the same moment, thus disproving the Aristotelian assertion that objects fall with a speed proportional to their mass. (Unfortunately, there is scant evidence for the story that Galileo performed this experiment from the Leaning Tower of Pisa.) Galileo also makes the daring asserting that, in a vacuum, all objects would fall at the same rate.

There are still more riches to be excavated. Galileo asserts that pitches are caused by vibrating air, that faster vibrations causes higher pitch, and that consonant harmonies are caused by vibrations in regular ratios. He exhaustively calculates how the time and speed of a descending object would differ based on its angle of descent—straight down or on an inclined plane. He also shows that objects shot into the air, as in a catapult, descend back to earth in a parabolic arc; and he shows that objects travel the furthest when shot at 45 degrees. In an appendix, Galileo uses an iterative approach to find the center of gravity of curved solids; and in an added dialogue he discusses the force of percussion.

As you can see, this book is too rich and, in parts, too technical for me to appraise it in detail. I will say, however, that of all the scientific classics I have read this year, the modern spirit of science shines through most clearly in these pages. For like any contemporary scientist, Galileo assumes that the behavior of nature is law-like, and is fundamentally mathematical; and with Galileo we also see a thinker completely willing to submit his speculations to experiment, but completely unwilling to submit them to authority. Far more than in the metaphysical Kepler—who speculated with wild abandon, though he was a scientist of comparable importance—in Galileo we find a true skeptic: who believed only what he could observe, calculate, and prove. The reader instantly feels, in Galileo, the force of an exceptionally clear mind and of an uncompromising dedication to the search for truth.

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Review: Kenneth Clarke’s Civilisation

Review: Kenneth Clarke’s Civilisation

Civilisation:  A Personal ViewCivilisation: A Personal View by Kenneth Clark

My rating: 5 of 5 stars

I wonder if a single thought that has helped forward the human spirit has ever been conceived or written down in an enormous room

I must admit immediately that I have never read nor even laid eyes on this book. I’m sure it’s lovely. This review is, rather, about the television series, which I’d wager is twice as lovely.

Civilisation is the best documentary I’ve ever seen. Kenneth Clark takes his viewer from the Dark Ages, through romanesque, gothic, the Renaissance, the Reformation, baroque, rococo, neoclassicism, impressionism, through the industrial revolution and the two World Wars, all the way up to when the program was made in the late 1960s. This is a remarkable amount of ground to cover for a show with 13 episodes, each 50 minutes long.

Not only chronologically, but in subject matter, this documentary casts a wide net. Although the show’s primary emphasis is on architecture and art, Clark also dips into literature, poetry, music, engineering, politics, and wider social problems like inequality, poverty, oppression, and war. Of course, for lack of time Clark cannot delve too deeply into any one of these subjects; but because the presentation is so skillful and economical, and the selection of material so tasteful, the viewer is nevertheless satisfied at the end of every episode.

The documentary generally shifts between shots of Clark facing the camera, talking to the viewer, and extended, panoramic shots of churches, monuments, paintings, drawings, sculptures, and mountains, while beautiful music plays in the background. Clark himself chose the musical accompaniments to these visuals, and they are uniformly splendid (and this is one reason why I recommend the documentary over the book). More than perhaps anything I’ve seen on a screen, this series is rich, lavish, sumptuous. As the camera pans over the altarpiece of a church, while Bach’s St. Matthew’s Passion plays in the background, it’s so lush and gorgeous that it almost gives you a stomach ache.

Aside from these visuals and music, the main attraction of the series is Clark himself. He comes across as refined, cosmopolitan—almost a freak of erudition. But for all that, he is charming and witty, if ultimately a bit cold. One of the strongest impressions I got was that Clark was a man from another time. He looks out of place as he walks through the modern streets, crowded with cars and buzzing with urban life. He has many misgivings about the modern world: he is anti-Marxist, anti-modern art, and certainly didn’t understand the student protests and hippie culture flourishing at the time. In his own words, he was a “stick in the mud,” and I think felt alienated from his time because of his intense appreciation, even worship, of Western art.

This brings me to some of this program’s shortcomings. Most of these are due to the time in which it was made. This is most apparent in the first episode, “The Skin of Our Teeth,” wherein he argues that civilization almost disappeared during the Dark Ages, and comes close to crediting Charlemagne as the savior of all subsequent culture. This requires that he completely discredit both Byzantine and Muslim culture (not to mention Chinese), both of which were doing just fine. He repeats the tired stereotype about Byzantium being a fossilized culture and treats the Muslims as simple destroyers. Later on in the series, he has some uncharitable things to say about the Germans, which I think was a product of growing up during the World War.

A more serious flaw might be that the series bites off more than it can chew. The questions Clark poses to answer are vast. What is civilization? What makes it thrive? What makes it fall apart? Deep questions, but his answers are by comparison shallow. Civilization requires confidence in the future; they cannot be built on fear. Civilization requires rebirth, the constant search for new styles and ideas; but it also requires continuity and tradition, a respect for the past. Civilization is pushed forward by men of genius (and in this series, they’re all men), who enlarge our faculties with their godlike creative powers; men like Michelangelo, Dante, Beethoven, men who are timeless and yet who forever alter the face of culture.

These are interesting answers, but they seem rather superficial to me. They describe, rather than explain, civilization. But of course, this is a documentary, not a monograph. And although Clark asks and tries to answer many questions, I think his primary goal was simply to inspire a sense of the worth, the preciousness, the grandeur of the accomplishments of European civilization. He wants to remind his viewers that our culture is fragile, and that we owe to it not only beautiful paintings and poetry, but also our very ability to see and appreciate the beauty in certain ways, to think about ideas in a certain light, to live not only a happy but a full and rich life.

Maybe this seems pinched and old-fashioned nowadays. Still, I can’t help thinking of all the times that a friend, a fellow student, or even a teacher has made a blanket statement about “Western culture,” “Enlightenment ideas,” “scientific materialism,” or some such thing, while seeming to understand none of it. (I’ve probably done this myself, too.) I’ve been in classes—serious, graduate-level classes—where, amid condemnations of “Western” ideas and gratuitous namedropping of Western philosophers, I realized that I was the only person there, professor included, who actually read some of these authors. I’m not making this up.

I suppose this is just a callow intellectual fashion, and it will eventually pass away. And I also suppose that this might be slightly preferable to the idiotic self-glorification of “European man” that prevailed in earlier times. At present, however, this program is a wonderful corrective to our bad habits of thought. It’s an education, a social critique, and a joy. I hope you get a chance to watch it.

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Review: Alistair Cooke’s America

Review: Alistair Cooke’s America

Alistair Cooke's AmericaAlistair Cooke’s America by Alistair Cooke

My rating: 4 of 5 stars

… a sign proclaiming in three words that a Roman emperor’s orgy is now a democratic institution. It says: ‘Topless Pizza Lunch.’

(As in my reviews of Kenneth Clarke’s Civilisation and Jacob Bronowski’s The Ascent of Man, this review focuses on the documentary, not the tie-in book.)

This documentary is a window into another time, when the public intellectual was a far more respected institution. Nowadays it is hard to imagine a popular program that contained long stretches of a man simply talking into a camera; nor it is easy to think of a contemporary program so fully dominated by the personality of one person. As the subtitle of this program indicates, this is “A Personal View,” not an attempt at impartiality or objectivity. Cooke is giving us America as he sees it, through the eyes of a highly-educated, well-traveled English immigrant.

The 13 episodes of the series follow a chronological scheme, beginning with the French and Spanish colonists and ending with the (then) present day. The exception to this is the first episode, the best in the series, in which Cooke tells his own story—coming to America as a young man during the Great Depression, and taking a road trip out west. As for the other episodes, there are few surprises in Cooke’s choice of subject: the English dissenters, the Revolutionary War, the drafting of the Constitution, the Louisiana Purchase, and so on, all the way up to the Cold War. We see Ellis Island and the Oregon Trail, New England foliage and the Hoover Dam, Hippie communes and Black Baptist churches—a panorama of American scenes.

In many ways this series falls short of the other two major BBC documentaries of the time, Clarke’s Civilisation and Bronowski’s The Ascent of Man. Cooke’s America has none of the gorgeous cinematography of the former nor the innovative editing of the latter. Indeed, the shooting style of the documentary is remarkably basic—which is not necessarily a bad thing, of course, but in this case it imbued sections of the documentary with a soporific effect. Another difference in quality was due to the level of insight that the programs offer. Cooke, though no chump when it comes to American history, seems an amateur when his expertise is compared to Clarke’s grasp of art and Bronowski’s understanding of science. I was consistently interested, but I cannot say I came away from the program with any deep sense of insight into my vast homeland.

All this being said, there are some delightful sections in the program. Cooke has a great knack for finding fascinating props. He holds up a vial containing tea preserved from the Boston Tea Party, or he holds the manuscript of Dickens’s A Christmas Carol in the Morgan Library, or he itemizes the typical equipment and supplies taken by families on the Oregon Trail. And if the information he presents is not exactly striking, his easy eloquence and gentle wit give his facts a pleasing ring. Cooke’s voice—with his faultless Transatlantic accent—was made for broadcasting, and transmits a sense of confident sophistication that is entirely rare today. Most valuable for us is Cooke’s convincing sense of being above partisan politics—an intelligent observer unbound by any tribe. Again, could any similar program exist today?

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Review: Epitome of Copernican Astronomy & Harmonies of the World

Review: Epitome of Copernican Astronomy & Harmonies of the World

Epitome of Copernican Astronomy and Harmonies of the WorldEpitome of Copernican Astronomy and Harmonies of the World by Johannes Kepler

My rating: 3 of 5 stars

The Earth sings MI, FA, MI so that you may infer even from the syllables that in this our domicile MIsery and FAmine obtain.

Thomas Kuhn switched from studying physics to the history of science when, after teaching a course on outdated scientific models, he discovered that his notion of scientific progress was completely mistaken. As I plow through these old classics in my lackadaisical fashion, I am coming to the same conclusion. For I have discovered that the much-maligned Ptolemy produced a monument of observation and mathematical analysis, and that Copernicus’s revolutionary work relied heavily on this older model and was arguably less convincing. Now I discover that Johannes Kepler, one of the heroes of modern science, was also something of a crackpot.

The mythical image of the ideal scientist, patiently observing, cataloguing, calculating—a person solely concerned with the empirical facts—could not be further removed from Kepler. Few people in history had such a fecund and overactive imagination. Every new observation suggested a dozen theories to his feverish mind, not all of them testable. When Galileo published his Siderius Nuncius, for example, announcing the presence of moons orbiting Jupiter, Kepler immediately concluded that there must be life on Jupiter—and, why not, on all the other planets. Kepler even has a claim of being the first science-fiction writer, with his book Somnium, describing how the earth would appear to inhabitants of the moon (though Lucian of Samothrace, writing in the 2nd Century AD, seems to have priority with his fantastical novella, A True Story). This imaginative book, by the way, may have contributed to the accusations that Kepler’s mother was a witch.

In reading Kepler, I was constantly reminded of a remark by Bertrand Russell: “The first effect of emancipation from the Church was not to make men think rationally, but to open their minds to every sort of antique nonsense.” Similarly, the decline in Aristotle’s metaphysics did not prompt Kepler to reject metaphysical thinking altogether, but rather to speculate with wild abandon. But Kepler’s speculations differed from the ancients’ in two important respects: First, even when his theories are not testable, they are mathematical in nature. Gone are the verbal categories of Aristotle; and in comes the modern notion that nature is the manifestation of numerical harmonies. Second, whenever Kepler’s theories are testable, he tested them, and thoroughly. And he had ample data with which to test his speculations, since he was bequeathed the voluminous observations of his former mentor, Tycho Brahe.

At its worst, Kepler’s method resulted in meaningless numerical coincidences that explained nothing. As many a statistician has learned, if you crunch enough numbers and enough variables, you will eventually stumble upon a serendipitous correlation. This aptly describes Kepler’s use of the five Platonic solids to explain planetary orbits; by trying many combinations, Kepler found that he could create an arrangement of these regular solids, nested within one another, that mostly corresponded with the size of the planets’ orbits. But what does this explain? And how does this help calculation? The answer to both of these questions is negative; the solution merely appeals to Kepler’s sense of mathematical elegance, and reinforced his religious conviction that God must have arranged the world harmoniously.

Another famous example of this is Kepler’s notion of the “harmonies of the world.” By playing with the numbers of the perihelion, aphelion, orbital lengths, and so forth, Kepler assigns a melodic range to each of the planets. Mercury, having the most elongated orbit, has the biggest range; while Venus’s orbit, which most approximates a perfect circle, only produces a single note. Jupiter and Saturn are the basses, of course, while Mars is the tenor, Earth and Venus the altos, and Mercury the soprano. He then suggests (though vaguely) that there are beings on the sun, capable of sensing this heavenly music. (The composer Laurie Spiegel created a piece in which she recreates this music; it is not exactly Bach.) Once more, we naturally ask: What would all this speculation on music and harmonies explain? And once more, the answer is nothing.

Kepler’s writing is full of this sort of thing—torturous explorations of ratios, data, figures, which strike the modern mind as ravings rather than reasoning. But the fact remains that Kepler was one of the great scientific geniuses of history. He was writing in a sort of interim period between the fall of Aristotelian science and the rise of Newtonian physics, a time when the mind of Europe was completely untethered to any recognizable paradigm, free to luxuriate in speculation. Most people in such circumstances would produce nothing but nonsense; but Kepler managed to invent astrophysics.

What gives Kepler a claim to this title was his conception of a scientific law (though he did not put it as such). Astronomers from Ptolemy to Copernicus used schemes to predict planetary movements; but there was no one underlying principle which could explain everything. Kepler’s relentless search for numerical coincidences led him to statements that unified observations of all the planets. These are now known as Kepler’s Laws.

The first of these was the seemingly simple but revolutionary insight that planets orbit in ellipses, with the sun at one of the foci. It is commonly said that previous astronomers preferred circles for petty metaphysical reasons, seeing them as perfect. But there were other reasons, too. Most obviously, the mathematics of shapes inscribed in circles was well-understood; this was the basis of trigonometry.

Yet the use of circles to track orbits that, in reality, are not circular, created some problems. Thus in the Ptolemaic system the astronomer used one circle (the eccentric) for the distance, and another, overlapping circle (the equant) for the speed. When these were combined with the epicycles (used to explain retrogression) the resultant orbits, though composed of perfect circles, were anything but circular. Kepler’s use of ellipses obviated the need for all these circles, reducing a complicated machinery into a single shape. It was this innovation that made the Copernican system so much more efficient than the Ptolemaic one. As Owen Gingerich, a Copernican scholar, has said: “What passes today as the ‘Copernican System’ is in detail the Keplerian system.”

Yet the use of ellipses, by itself, would not have been so useful were it not for Kepler’s Second Law: that planets sweep out equal areas in equal times of their orbits. For when a planet is closest to the sun (at perihelion) it is moving its fastest; and when it is furthest (at aphelion) it is slowest; and this creates a constant ratio (which is the result of the conserved angular momentum of each planet). Ironically, of the two, Ptolemy was closer than Copernicus to this insight, since Ptolemy’s much-maligned equant (the imaginary point around which a planet travels at a constant speed) is a close approximation of the Second Law. Even so, I think that Kepler moved far beyond all previous astronomy with these insights, jumping from observed and analyzed regularities to general principles.

Kepler’s Third Law seemed to have excited the astronomer the most, since he even includes the exact date at which he made the realization: “… on the 8th of March in this year One Thousand Six Hundred and Eighteen but unfelicitously submitted to calculation and rejected as false, finally, summoned back on the 15th of May, with a fresh assault undertaken, outfought the darkness of my mind.” This law states that, for every planet, the ratio of the orbital period squared to the orbital size cubed, is constant. (For the orbital size Kepler used half the major axis of the ellipse.)

While it is no doubt striking that this ratio is almost the same for every planet (this is because the planet’s mass is negligible compared with the sun’s), it is difficult to completely sympathize with Kepler’s excitement, since the resultant law is not useful for predicting orbits, and its significance was only explained much later by Newton as a derivable conclusion from his equations. Kepler, being the man he was, used this mathematical constant to fuel his metaphysical speculations.

However much, then, that Kepler’s theories may strike us nowadays as baseless, crackpot theorizing, he must be given a commanding place in the history of science. The reason I cannot rate this collection any higher is that Kepler is extremely tiresome to read. In his more lucid moments, his imaginative energy is charming. But much of the book consists of whole paragraphs of ratio after ratio, shape after shape, number after number, and so it is easy to get lost or bored. Since I have a decent grasp of music theory, I thought I might be able to get something out of his Harmonies of the World, but I found even that section mostly opaque, swirling in obscure and impenetrable reasoning.

The great irony, then, is that Kepler’s writings can strike the modern-day reader as far less “scientific” than Ptolemy’s; but perhaps we should expect such ironies from a man who helped to inaugurate modern science, but who made his living casting horoscopes.

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Review: The Great Bridge

Review: The Great Bridge

The Great Bridge: The Epic Story of the Building of the Brooklyn BridgeThe Great Bridge: The Epic Story of the Building of the Brooklyn Bridge by David McCullough

My rating: 4 of 5 stars

… on a day when two young men were walking on the moon, a very old woman on Long Island would tell reporters that the public excitement over the feat was not so much compared to what she had seen “on the day they opened the Brooklyn Bridge.”

On the inside cover of my copy of this book its previous owner has inserted a little love note. The brief message is written in a very neat script, in red ink, apparently on the eve of a long separation. Now, you may think that a book about the Brooklyn Bridge is a rather odd gift for a lover—and, considering that the book ended up in a used book shop, this may be what the recipient thought, too—but, now that I have read McCullough’s chronicle of the Brooklyn Bridge, I can see why it might inspire such sentimental attachment. For it is a thoroughly lovable book.

This is my first McCullough work, and I am pleased. He is a fine writer. His prose is stylish yet unobtrusive, striking that delicate balance between being intelligible but not simplified. He has a keen eye for the exciting details of a seemingly dry story; and effectively brings together many different threads—the personalities, the politics, the technology—in such a way that the past looms up effortlessly in the imagination. The only parts which I think could have been improved were his explanations of the engineering, since he used too many unfamiliar terms without explaining them, perhaps thinking that such explanations might swell the book to unseemly proportions. In any case, he is a writer, not an engineer, and he shines most when discussing the human experience of the Bridge.

The bridge’s designer was John A. Roebling, who deserves a book unto himself. An eccentric polymath, who among other things studied philosophy under Hegel, he came to America to found a Utopian village and ended up the foremost expert on suspension bridges. The Brooklyn Bridge was his project; but tragically he died during the first year of the project, after his foot was crushed, his toes amputated, and he contracted tetanus. His son, Washington, immediately took over—in many ways just as remarkable a man. A Civil War hero with a tenacious memory, the bridge ruined his health, too, through a combination of stress and the bends.

In those days the bends were known as “caisson sickness,” named for the compartment sunk underwater in order to excavate for the bridge’s foundations. These were filled with pressurized air in order to prevent water from seeping in. Unfortunately, in those days the dangers of rapidly depressurizing were not understood, so many people fell ill during the construction—including Roebling himself, who spent the final years of the bridge’s construction as an invalid, observing the work through a telescope from his apartment. Luckily for him, his wife, Emily, was a remarkable woman—diplomatic and brilliant—and helped to carry the project to completion.

These personalities come alive in McCullough’s narration, turning what could have been a dry chronicle into an enthralling book. And this is not to mention the political corruption, the manufacturing fraud, the deadly accidents, and the glorious celebrations that took place during the fourteen years of the bridge’s construction.

Yesterday I revisited the Brooklyn Bridge, which is beautiful even if you know nothing about it. As a friend and I strolled across in the intense summer heat, elbowing our way through crowds of tourists, I blathered on about all the fun facts I had learned from this book—which I am sure my friend very much appreciated. Sensing his discomfort, I made sure to emphasize that a fraudulent wire manufacturer had tricked the engineers into using sub-par cables, and that a panic broke out a week after the bridge’s opening, which resulted in twelve people being trampled. You see this book has already helped my social life. Maybe next I can write my own love note inside.

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Review: Sidereal Messanger

Review: Sidereal Messanger

Sidereus Nuncius, or The Sidereal MessengerSidereus Nuncius, or The Sidereal Messenger by Galileo Galilei

My rating: 4 of 5 stars

A most excellent a kind service has been performed by those who defend from envy the great deeds of excellent men and have taken it upon themselves to preserve from oblivion and ruin names deserving of immortality.

This book (more of a pamphlet, really) is proof that you do not need to write many pages to make a lasting contribution to science. For it was in this little book that Galileo set forth his observations made through his newly improved telescope. In 50-odd pages, with some accompanying diagrams and etchings, Galileo quickly asserts the roughness of the Moon’s surface, avers the existence of many more stars than can be seen with the naked eye, and—the grand climax—announces the existence of the moons of Jupiter. Suddenly the universe seemed far bigger, and stranger, than it had before.

The actual text of Siderius Nuncius does not make for exciting reading. To establish his credibility, Galileo includes a blow-by-blow account of his observations of the moons of Jupiter, charting their nightly appearance. The section on our Moon is admittedly more compelling, as Galileo describes the irregularities he observed as the sun passed over its surface. Even so, this edition is immeasurably improved by the substantial commentary provided by Albert van Helden, who gives us the necessary historical background to understand why it was so controversial, and charts the aftermath of the publication.

Though Galileo is sometimes mistakenly credited with inventing the telescope, spyglasses were widely available at the time; what Galileo did was improve his telescope far beyond the magnification commonly available. The result was that, for a significant span of time, Galileo was the only person on the planet with the technology to closely and accurately observe the heavens. The advantage was not lost on him, and he made sure that he published before he got scooped. In another shrewd move, he named the newly-discovered moons of Jupiter after the Grand Duke Cosimo II and his brothers, for which they were known as the Medician Stars (back then, the term “star” meant any celestial object). This earned him patronage and protection.

Galileo’s findings were controversial because none of them aligned with the predictions of Aristotelian physics and Ptolemaic astronomy. According to the accepted view, the heavens were pure and incorruptible, devoid of change or imperfection. Thus it was jarring to find the moon’s surface bumpy, scarred, and mountainous, just like Earth’s. Even more troublesome were the Galilean moons. In the orthodox view the Earth was the only center of orbit; and one of the strongest objections against Copernicus’s system was that it included two centers, the Sun and the Earth (for the Moon). Galileo’s finding of an additional center of orbit meant that this objection ceased to carry any weight, since in any case we must posit multiple centers. Understandably there was a lot of skepticism at first, with some scholars doubting the efficacy of Galileo’s new instrument. But as other telescopes caught up with Galileo’s, and new anomalies were added to the mix—the phases of Venus and the odd shape of Saturn—his observations achieved widespread acceptance.

Though philosophers and historians of science often emphasize the advance of theory, I find this text a compelling example of the power of pure observation. For Galileo’s breakthrough relied, not on any new theory, but on new technology, extending the reach of his senses. He had no optical theory to guide him as he tinkered with his telescope, relying instead on simple trial-and-error. And though theory plays a role in any observation, some of Galileo’s findings—such as that the Milky Way is made of many small stars clustered together—are as close to simple acts of vision as possible. Even if Copernicus’s theory was not available as an alternative paradigm, it seems likely to me that advances in the power of telescopes would have thrown the old worldview into a crisis. This goes to show that observational technology is integral to scientific progress.

It is also curious to note the moral dimension of Galileo’s discovery. Now, the Ptolemaic system is commonly lambasted as narcissistically anthropocentric, placing humans at the center of it all. Yet it is worth pointing out that, in the Ptolemaic system, the heavens are regarded as pure and perfect, and everything below the moon as corruptible and imperfect (from which we get the term “sublunary”). Indeed, Dante placed the circles of paradise on the moon and the planets. So arguably, by making Earth the equal of the other planets, the new astronomy actually raised the dignity of our humble abode. In any case, I think that it is simplistic to characterize the switch from geocentricity to heliocentricity as a tale of declining hubris. The medieval Christians were hardly swollen with pride by their cosmic importance.

As you can see, this is a fascinating little volume that amply rewards the little time spent reading it. Van Helden has done a terrific job in making this scientific classic accessible.

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