Euler’s Constancy

John Derbyshire in The Wilson Quarterly:

Who is the greatest mathematician of all time? In 1937, Eric Temple Bell, the most widely read historian and biographer of mathematics, placed Archi­medes, Isaac Newton, and Karl Friedrich Gauss at the top of the list, adding, “It is not for ordinary mortals to attempt to arrange [these three] in order of merit.” This judgment, widely known among mathematicians, stirred a protest in 1997 from Charlie Marion and William Dunham in Mathematics Magazine. The protest was in eight stanzas of verse, of which the fourth and fifth ­read:

Without the Bard of Basel, Bell,
Screenhunter_02_oct_07_1636_2You’ve clearly dropped the ­ball.
Our votes are cast for Euler, ­L.
Whose Opera says it ­all.

Six dozen ­volumes—­what a feat!
Profound and deep ­throughout.
Does Leonhard rank with the ­elite?
Of this there is no ­doubt.

Marion and Dunham were paying tribute to the mathematician Leonhard Euler (1707–83), one of the great yet little-known figures from Europe’s Age of Enlightenment. Euler’s discoveries continue to influence such disparate fields as computer networking, harmonics, and statistical analysis, and they did nothing less than transform pure mathematics. Children still learn Euler’s lessons in school. It was Euler, for instance, who gave the name i to the square root of –1. To mark his tercentenary, admirers are holding symposiums, concerts, and a two-week Euler tour, which will stop in St. Petersburg and Berlin, the two cities where he spent his working life, as well as Basel, Switzerland, the city of his birth. There is even an Euler comic book, A Man to Be Reckoned With, in German and English editions.

More here.



The Squirrel Wars

D. T. Max in the New York Times Magazine:

Screenhunter_01_oct_07_1601When you think of England, Rupert Redesdale is who you think of. He has a slanting forehead, a nose shaped like an adze and the pink face of an aristocrat from the Georgian era. But in fact his family is far older: it is one of five in Britain that can trace its roots directly back to William the Conqueror, the last successful invader of England, in 1066. “Our original name was Bertram,” he told me recently. “We were Normans.” Redesdale, a 40-year-old baron, can stand on a Northumberland hilltop and see the Rede Valley, with the Rede River running through it. He is able to say things like, “Our family had a castle in Mitford, but Robert the Bruce, the sod, knocked it down.”

I first met Lord Redesdale one day in August in the Lake District, about 80 miles southwest of his home in the Rede Valley. The Lake District, in the north of England, is on the front lines of a new Hundred Years’ War. It is a war between rodents. Since the 19th century, gray squirrels, an American import, have been overtaking Britain’s native red squirrels and claiming their territory.

More here.

Sunday Poem

Via NoUtopia.com:

Machines
Michael Donaghy

Dearest, note how these two are alike:
This harpsicord pavane by Purcell
And the racer’s twelve-speed bike.

The machinery of grace is always simple.
This chrome trapezoid, one wheel connected
To another of concentric gears,
Which Ptolemy dreamt of and Schwinn perfected,
Is gone. The cyclist, not the cycle, steers.
And in the playing, Purcell’s chords are played away.

So this talk, or touch if I were there,
Should work its effortless gadgetry of love,
Like Dante’s heaven, and melt into the air.

If it doesn’t, of course, I’ve fallen. So much is chance,
So much agility, desire, and feverish care,
As bicyclists and harpsicordists prove

Who only by moving can balance,
Only by balancing move.

Masters of rock

PD Smith on Ted Nield’s Supercontinent, a book that shows us a world in which 250 million years is but the blink of an eye.

From The Guardian:

PortraitCharles Dodgson (aka Lewis Carroll) grew up in Ripon, a part of Yorkshire blessed with a unique but rather alarming geology. Deep vertical pits are liable to appear without warning in the ground, swallowing up homes and gardens in seconds. It is quite possible that the memory of these holes inspired Alice’s fictional fall “down, down, down” the seemingly bottomless rabbit hole. After all, as Ted Nield points out, Carroll’s fantasy was originally titled Alice’s Adventures Under Ground. But Nield’s real interest lies in geology, not literature. Why, he asks, are the rocks of Ripon so prone to sudden collapse? To answer this, you have to drive out of Ripon and head west to the Pennines, the backbone of England. Gradually the fertile fields with their oak trees and hedgerows give way to moorland from where you can look down across the lowlands to Ripon. If you take a walk up the heathery slopes and stand on a rough lump of millstone grit, says Nield, “you are climbing the exhumed topography of Pangaea”.

Pangaea was the supercontinent that existed 250 million years ago. Our present continents are all that is left of this landmass: “the world we see today is no more than Pangaea’s smashed remains, the fragments of the dinner plate that dropped on the floor.” If you had stood on that same piece of millstone grit 250 million years ago, behind you would lie not the Pennines but 2,500 miles of mountain and desert that one day will be North America.

More here.

ted’s letters

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[Ted Hughes had started an affair with Assia Wevill around the time of his separation from Sylvia Plath in late summer, 1962. David Wevill, a Canadian poet, was her husband] Assia, I tried to ring you this morning. I wanted to see you. Nothing we said the other day was right.

If you & David are going to part, it must be easier for both of you now, than after a month more of general misery.

As things are, it is bad for all of us. If you come to me, David suffers.

If you go to him, you suffer, and does he stop suffering? I don’t see how it can make him happy again, just to hand yourself over to him as a prisoner or a body, unless he’s not at all concerned how you are feeling, and quite happy to have you even against your will.

more from the Telegraph here.

bourgeois

Louise372

A tiny, slender woman with long hair tied back in a ponytail, regal posture, a shrewd expression and a forceful walk swept through the Pierre Matisse Gallery, an entourage of young men trailing behind her. She was dressed in black, and her presence acted on the room like a bolt of electricity. “Who is that?” I asked my husband. “Louise Bourgeois.” “Oh, of course,” I answered. A couple of years earlier, in 1982, the Museum of Modern Art had mounted a major show of her work. Curated by Deborah Wye, the exhibition brought the 71-year-old Bourgeois, who had been showing painting and sculpture in New York since the 40s, into the art-world limelight.

more from The Guardian here.

A Gallery of Beautiful Tiny Things

From Wired News:

Pix_2 Since 1974, Nikon has sponsored a yearly photo competition for images that delve into the worlds beyond the reach of the unaided human eye. The $3,000 first prize in Nikon’s 2007 Small World competition goes to Gloria Kwon of the Memorial Sloan-Kettering Institute in New York. Kwon’s composite image of a mouse embryo, captured in both visible and ultraviolet light, reveals the inherent biochemical differences between the embryo (fluorescent red) and its yolk sac (highlighter green).

The dozen images collected here (the top 10 images, plus two Wired News picks) capture facets of living organisms that have a technical meaning to the trained specialist, but appear to be pure art to the layperson.

More here.

Between imperialism and Islamism

Pervez Hoodbhoy in Himal Southasian:

Pervez Many of us in the left, particularly in Southasia, have chosen to understand the rise of violent Islamic fundamentalism as a response to poverty, unemployment, poor access to justice, lack of educational opportunities, corruption, loss of faith in the political system, or the sufferings of peasants and workers. As partial truths, these are indisputable. Those condemned to living a life with little hope and happiness are indeed vulnerable to calls from religious demagogues who offer a happy hereafter in exchange for unquestioning obedience.

American imperialism is also held responsible. This, too, is a partial truth. Stung by the attacks of 11 September 2001, the United States lashed out against Muslims almost everywhere. America’s neoconservatives thought that cracking the whip would surely bring the world to order. Instead, the opposite happened. Islamists won massively in Iraq after a war waged on fraudulent grounds by a superpower filled with hubris, arrogance and ignorance. ‘Shock and Awe’ is now turning into ‘Cut and Run’. The US is leaving behind a snake pit, from which battle-hardened terrorists are stealthily making their way to countries around the world. Polls show that the US has become one of the most unpopular countries in the world, and that, in many places, George W Bush is more disliked than Osama bin Laden. Most Muslims see an oil-greedy America, in collusion with Israel, as a crusader force occupying a historic centre of Islamic civilisation. Al-Qaeda rejoices. Its mission was to convince Muslims that the war was between Islam and unbelief. Today it brags: We told you so!

More here.

Jeffrey Goldberg’s Prison

Norman Finkelstein in CounterPunch:

Editors’ Note: In his hatchet job for the New Republic on Mearsheimer and Walt’s new book The Israel Lobby, Jeffrey Goldberg dismisses their depiction of the Israel-Palestine conflict as “simply unrecognizable to anyone halfway fair and halfway learned about the Middle East,” and he recommends instead his own book on the “moral failings of israel’s occupation of Palestinian lands.” It happens that Norman Finkelstein, who is more than halfway fair and halfway learned about the Middle East, has plowed through Goldberg’s book. Here is his entirely irrefutable and absolutely devastating report. AC / JSC

Finkelstein_2Jeffrey Goldberg is the recipient of numerous journalism awards and currently writes on the Middle East for The New Yorker magazine. On its surface his book Prisoners: A Muslim & A Jew Across The Middle East Divide interweaves the memoir of an American Jew’s enchantment and subsequent disappointment with Israel, on the one hand, and the reportage of a knowing journalist covering the Israel-Palestine beat, on the other. Its main interest, however, is as a sophisticated work of ideology, one meriting more than passing attention. On a political level it registers the limits of what is currently permissible to acknowledge in enlightened liberal sectors of American Jewry, while on a personal level it registers the limits of what an enlightened believer in the faith can admit to himself. More broadly it signals the eclipse of liberal American Jewry’s love affair with the Jewish state, itself integral of the beginnings of a larger American estrangement from Israel.

More here.

Saturday, October 6, 2007

A Weakness in the New Atheism

John D. Mullen’s review of Hitchens’ God is Not Great captures some of my frustrations with the new spirited and much needed defense of atheism. In Metapsychology Online Reviews:

There is a weak point that infects both Harris and Hitchens’ claims that religion is an important cause of human violence (indeed Harris claims that the survival of the human species requires the extinction of religion — or at least of Islam). The flaw is their failure to disentangle the religious from other potential social factors, e.g., nationalist, economic, cultural, educatioinal. Harris at least asks the question: Could the (terrorist) tactics of Palestinians warriors be a result of economic or political oppression rather than religious conviction? This is an extremely complex question of social/causal analysis. Harris’ answer is shockingly cavalier: No, you don’t see Christian Palestinians becoming suicide bombers. Does anyone believe there are no differences between Christian and Muslim Palestinians other than a (rather minor) disagreement on the status of a certain Nazarene? No economic, educational differences? No differences of group identification or empathy, no disparities of tribalist propensities?

This lack of a social-causal analysis comes up many times in Hitchens. For example he attributes a religious cause to female genital mutilation (223). This is almost certainly wrong. FGM occurs in tribal societies, where the worst evil to befall a male is for an offspring of another male to be unwittingly attributed to him. The difficulty of preventing this is heightened by polygyny, where there are more women to worry about and watch over. Thus women must be guaranteed virginal (and so unpregnant) at marriage and secluded afterwards (purdah). FGM is best understood as an element of this complex. It is required by no religion, has been practiced within or along side all three of the Abrahamic traditions and is more prevalent by far in the polygynous Muslim variations, particularly among less educated populations. (See Gary S. Becker A Treatise on the Family 2005)

Migration Turns Paris into the City of Music

Apparently, it’s not simply La Secte Phonetik. In the Globalist:

Paris, France is not even included in the list of the world’s 20 largest cities, but the argument for its status of capital of world music is a strong one. Not only is there a strong native tradition of the chanson in Paris, but the City of Lights has welcomed luminaries from all over the globe to make music there…

Like New York, Los Angeles and London, Paris’ music scene has benefited greatly from an influx of immigrants. Many musicians have come from Francophone Africa and the Middle East.

Whether sunny or moody, the economical melodies of Brazilian pop music bear some similarities to the classic French chanson.

For instance, France’s top rapper is MC Solaar, a Senegal-born artist who moved to Paris and has seen his albums dominate French charts for over a decade.

Prominent rai/rock musician Rachid Taha was born in Algeria, grew up in Lyon — and has recorded much of his best work in Paris. His 1991 album, Barbes, was named after an immigrant-dominated section of Paris.

Israel and Palestine In the Wake of Oslo’s Failure

Robert Blecher and Jeremy Pressman in the Boston Review:

Israel’s Palestinian leadership has articulated an increasingly oppositional voice ever since October 2000, when 12 Palestinian citizens of Israel were killed during protests at the outset of the second uprising. More recently, Arab intellectuals have published several documents that question the Jewish nature of the state. Some proposals prescribe radical individual equality for Arabs and Jews, whereas others would preserve group rights. The document that attracted the most attention—and opprobrium—was the December 2006 report “The Future Vision of the Palestinian Arabs in Israel.” The bulk of the report focuses on the quotidian sorts of discrimination faced by Israel’s Palestinian citizens, but reaction centered on the document’s caustic characterization of Zionism, as well as its demand for the recognition of Palestinians as “the indigenous people of the homeland” who have a right to “complete equality in the State on a collective–national basis.”

Such ideological opposition is interpreted as a material threat by the Israeli security apparatus. The director of the domestic security service made headlines in March when he insisted that he would use means that are normally reserved for fighting illegal activity against “elements who wish to harm the character of the State of Israel as a democratic and Jewish state, even if their activity is conducted through democratic means.”

Brad Spence’s airbrushed cloud of unknowing

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In the decade since he graduated from CalArts’ Art and Critical Studies program, L.A.-based artist Brad Spence has produced a half-dozen remarkable bodies of work, beginning with 1998’s “Philosophy Minor,” a striking series of skillfully airbrushed paintings on paper that — on further investigation — turned out to be appropriations of vintage mass-market paperback philosophy books with the text removed. The resulting pictures — ranging from midcentury Modernist abstract designs to a photo-realist bust of Socrates — were among the most enigmatic and refreshing visual statements to emerge from the sticky swamp of passive-aggressive eye candy that was L.A. painting in the ’90s.

more from the LA Weekly here.

Easy’s despair

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For two decades, Easy Rawlins has walked the streets of Los Angeles, and the city has given him everything: friends, family, two homes, three apartment buildings, a dog and any number of people willing to pay him to fix their broken lives. Yet something’s gone wrong. Two years after the riots, Watts smolders, Vietnam rages and Easy is losing it. He knows it. His friends know it. And, of course, Walter Mosley knows it.

The 10th Easy Rawlins novel is unlike any we’ve read. “I lit a Camel,” Easy tells us early in the book, “thought about the taste of sour mash . . . and climbed out of the car like Bela Lugosi from his coffin.” Gone is the man once happy to own a home with an avocado tree in his frontyard. Gone is the man content to nurse a drink and a smoke in a bar like Joppy’s. Gone is the man whose dalliances in bed were his most reliable and consistent solace. Still the tough-minded, tough-hearted private detective of earlier novels, the Easy of “Blonde Faith” is haunted and more vulnerable, trying to atone for his mistakes, find love and acceptance and make it through to the next day.

more from the LA Times here.

clive james weighs in on Roth

James190

“Exit Ghost.” Great title. The book of a great writer. A great book? Maybe it’s just another piece of a puzzle. A great puzzle, and true to life in being so. In these strange and wonderful books that he writes under or about another name than his, Roth has been mapping the geography in an area of life where only his literary heroes — Kafka, of course, is one of them — have ever gone. The labyrinth of consciousness is actually constructed from the only means by which we can find a way out of it. It’s a web that Ariadne spins from her own thread. You don’t get to figure it out. You only get to watch it being spun. And if you are Nathan Dedalus (it was Zuckerman’s name for himself in the running heads to the second chapter of “The Ghost Writer”), you are in love with her for life, even if it kills you.

more from the NY Times here.

Carbophobia

From The New York Times:

Calories Gary Taubes is a brave and bold science journalist who does not accept conventional wisdom. In “Good Calories, Bad Calories,” he says what he wants is a fair hearing and rigorous testing for ideas that might seem shocking.

Yet much of what Taubes relates will be eye-opening to those who have not closely followed the science, or lack of science, in this area. (Disclosure: At one point he approvingly cites my articles on the lack of evidence that a high-fiber diet protects against colon cancer.) For example, he tells the amazing story of how the idea of a connection between dietary fat, cholesterol and heart disease got going and took on a life of its own, despite the minimal connection between dietary cholesterol and blood cholesterol for most people. He does not mince words. “From the inception of the diet-heart hypothesis in the early 1950s, those who argued that dietary fat caused heart disease accumulated the evidential equivalent of a mythology to support their belief. These myths are still passed on faithfully to the present day.” The story is similar for salt and high blood pressure, and for dietary fiber and cancer.

More here.

Sadequain’s cacti

From Himal Southasian:

Pakintan_art_1b

When you walk into the enormous central hall of the Lahore Museum, your eye is quickly drawn to the two rows of miniature paintings displayed along the walls on either side. Women on horseback playing polo; Radha and Krishna consorting under a mango tree. You approach the glass cases to observe the minute details of individual strands of hair, of eyelashes, of fingernails. Perchance, you look up.

And you are transposed. Telescoped from the micro to the macro! There, 11 metres in the air, are the sparkling stars, the whirling planets, the spiralling galaxies, all beaming directly at you. A viewer may not be able to immediately recognise the intricate Kufic calligraphy, the use of the letter noon as a design element, but the dynamism of the geometric shapes, the bold and energetic lines, the feverish cross-hatching, will intrigue and engage any imagination. This is a mammoth, 29×7.8-metre oil painting by the famed Pakistani artist Sadequain, rendered in a genre called ‘calligraphic cubism’, spanning the entire ceiling of the entrance hall. If your vision is sharp and you know Urdu, you will read the line of a poem by Mohammad Iqbal painted on one panel: Sitaaro’n ke aage jaha’n aur bhi hai – Beyond the stars there are still other worlds. Standing there, humbled by the celestial orbs, another poet’s lines echo through this writer’s mind: Aur bhi dukh hai’n zamaane me’n mohabbat ke sivaa/ raahate’n aur bhi hai’n vasl ki raahat ke sivaa. These are Faiz Ahmad Faiz’s immortal words: There are sorrows in this world other than those of love/ joys, other than those of union with one’s beloved.

More here.

the best selling author in the world

Lindsay Duguid in TLS:

Christie_2 Between 1920, when she was thirty, and her death in 1976, Agatha Christie published seventy-one full-length murder mysteries. She also brought out five collections of stories, two volumes of poetry, a number of successful West End plays and a couple of autobiographies; five non-crime novels by her appeared under the name of Mary Westmacott. In some years there were several publications; between 1939 and 1946 there were nineteen. By 1950, she had sold a total of 50 million books and she is still the bestselling author in the world. It seems reasonable to wonder where it all came from.

Laura Thompson has been given full access to the unpublished letters, papers and notebooks kept at Greenway, the house in Devon that Christie purchased in 1938 and later turned into a family trust to avoid tax. There Thompson discovered a lifetime’s worth of old exercise books, scraps of paper, receipts, banker’s orders, souvenir menus and family albums. She also discovered that Christie, who never dated a letter, falsified the details of her life in her memoirs and lied about her age on her marriage certificate. But in any case Thompson’s biographical method is not organization but evocation; rather than order the material into a chronological narrative, she wants us to know what her Agatha feels and offers novelistic insights into her state of mind. “Her life, on the surface, was as grey and dreary as a prison exercise yard, her mind a prey to a daily succession of torments” is how she describes Christie’s reaction to her divorce from her husband Archie sometime in 1927, an important event in Christie’s life, the facts of which remain uncertain.

More here.