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April 10, 2026
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"The family of mathematical problems discussed here has emerged in recent years as a result of efforts to put a small chapter of quantum field theory, the so-called external field problem, on a sound mathematical footing. The external field problems is special because the partial differential equations for the unknown field is linear, but the coefficients are allowed to vary in space and time and that gives rise to some surprises, which seem to be of general interest. There is a vast and in large part turgid mathematical physics literature on the subject. To make the general wisdom which has accumulated there more readily available to a mathematical audience I have, in the following, tried to place the problems in their physical context, and still to bring out the essential mathematical questions many of which remain to be answered."
"There are several reasons why Muslims make good enemies in the Indian context. One is that Muslims, whether they like it or not, are historically identified with the invaders who did most to destroy Hindu culture. Of course, not all the Muslim elite in India espoused this program assiduously, and many did not pursue it at all or indeed did the opposite. But there was enough rhetoric of destruction, and enough actual destruction, to lend support to a deep sense of Hindu grievance."
"The situation of the Muslims of China was very different. They were geographically remote from the Muslim heartlandsâ in contrast to the Muslims of India, whose contacts were so close that to a large extent they transacted their affairs in Persian... The result was the appearance of a Muslim literature in Chinese that pressed the argument that Confucian and Muslim values were fully compatible, if not identical. Thus an inscription purportedly dating from 742, but likely to have been forged by Chinese Muslims in the Ming period, says of Confucius and MuḼammad that âtheir language differed, yet their principles agreed.â... Nor is Islamic-ÂConfucian syncretism likely to have cut much ice with the Chinese elite. One prominent Chinese Muslim author was able to persuade some Confucian scholars to write laudatory prefaces for his books, and the title of his heavily Confucianized work on Muslim ritual found a place in an imperial compendium of 1773âÂ1782. But the work was placed in the company of books that âcontained little that was praiseworthy and much that was contemptible,â and an editorial comment, while conceding that the authorâs literary style âis actually rather elegant,â maintained that âthe clever literary ornamentation does him no goodâ for the simple reason that âIslam is fundamentally far-Âfetched and absurd.â"
"With regard to the formal structure of the tradition, we need not beat about the bush. In obvious ways the Islamic heritage lends itself so easily to fundamentalization that it could almost be said to invite it."
"One is that, even before the rise of Islamism, there were indications that leftism did not in general fare as well in the Islamic world as it did in other Third World regions. There was a sense at the time that the presence of Islam displaced the political spectrum to the right. One effect of this was a certain opportunistic reticence on the part of leftists in the Islamic world when it came to the manifestation of antireligious sentiments."
"In 1869 Dini solved the problem of geodesic representation of two surfaces upon one another. In 1896 Levi-Civita extended the problem to spaces of any order."
"The layman thinks that mathematics deals with facts and that thus there can possibly be no differences of opinion among mathematicians. We know that this is not the case."
"In these days, when the number of papers in mathematics published each year is almost without limit and the ramifications are no less perplexing in their variety, one is delighted to find here and there a digest of the work in a particular field."
"Who is behind all this? ...I donât have the evidence. But all the surface information suggests that this originated with Brennan and the CIA."
"Cohen has been widely derided as a Putin apologist. Yet former House Speaker Newt Gingrich, of all people, has backed him up. Cohen says he is the real American patriot and those who are pressing President Barack Obama and the European Union to counter the Russians in Crimea are a danger to our national security."
"If our intelligence services are way off the reservation, to the point that they can try to first destroy a presidential candidate and then a president, and I donât care that itâs Trump, it may be Harry Smith next time, or a woman; if they can do this, we need to know it."
"What do you end up with today? Betrayal. Any kind of discussion about Russian-American relations today, an informed Russian is going to say, âWe worry you will betray us again.â⌠Putin said he had illusions about the West when he came to power."
"An academic with generally progressive beliefs married to Katrina vanden Heuvel, editor-in-chief of the left-leaning Nation, he has a view of events in Ukraine that urges Americans to understand Putin's point of view."
"In his article "Distorting Russia," Cohen wrote that American "demonization" of Putin in news coverage amounts to "toxic" "media malpractice" that verges on the alarmist language of the Cold War.."
"Now is the time for a serious, new arms control agreement. What do we get? Russiagate. Russiagate is one of the greatest threats to national security. I have five listed in the book. Russia and China arenât on there. Russiagate is number one."
"There were three major episodes of dĂŠtente in the 20th century... The first was after Stalin died, when the Cold War was very dangerous. That was carried out by Dwight Eisenhower, a Republican president. The second was by Richard Nixon, advised by Henry Kissingerâit was called âthe Nixon dĂŠtente with Brezhnev.â The third, and we thought most successful, was Ronald Reagan with Mikhail Gorbachev. It was such a successful dĂŠtente Reagan and Gorbachev, and Reaganâs successor, the first Bush, said the Cold War was over forever."
"Trump comes out of nowhere in 2016 and says, âI think we should cooperate with Russia,â...This is a statement of dĂŠtente...Itâs then that this talk of Trump being an agent of the Kremlin begins."
"The ABM (Anti-Ballistic Missile Treaty), by prohibiting wide deployment of anti-missile defense installments... had long guaranteed equal security based on the underlying principles of MAD {Mutual Assured Destruction] and parity. Bushâs abolition of the treaty in effect nullified those principles and signified Washingtonâs quest for nuclear superiority over Russia..."
"When Putin began talking about Russiaâs sovereignty, Russiaâs independent course in world affairs, theyâre (the Washington elites) aghast... This is not what they expected... Putin was kind of the right person for the right time, both for Russia and for Russian world affairs."
"Putin went to Texas. He had a barbecue with Bush, second Bush. Bush said he âlooked into his eyes and saw a good soul.â There was this honeymoon. Why did they turn against Putin?"
"The people who created Russiagate are literally saying, and have been for almost three years, that the president of the United States is a Russian agent, or he has been compromised by the Kremlin."
"Thereâs a golden moment now to be had for everybodyâs security, and itâs been thwarted by this mindless⌠I mean, you can hate on Trump all you want, but thereâs got to be a higher priority and thatâs got to be international American security, and weâre letting that opportunity slip away, I fear."
"As we speak today, NATO is on Russiaâs borders... From the Baltics to Ukraine to the former Soviet Republic of Georgia. So, what happened? Later, they said Gorbachev lied or he misunderstood. [That] the promise was never made. But the National Security Archive in Washington has produced all the documents of the discussion in 1990. It was not only [President George H.W.] Bush, it was the French leader François Mitterrand, it was Margaret Thatcher of England. Every Western leader promised Gorbachev NATO would not move eastward."
"You have to ask yourself, why is it that Washington had no problem doing productive diplomacy with Soviet communist leaders... Why do we like communist leaders in Russia better than we like Russiaâs anti-communist leader? Itâs a riddle."
"If youâre trying to explain how the Washington establishment has dealt with Putin in a hateful and demonizing way, you have to go back to the 1990s before Putin..."
"They told Gorbachev, âWe promise if you agree to a reunited Germany in NATO, NATO will not moveâthis was Secretary of State James Bakerâone inch to the east. In other words, NATO would not move from Germany toward Russia. And it did."
"I donât know if there has ever been anything like this in American history... That accusation does such damage to our own institutions, to the presidency, to our electoral system, to Congress, to the American mainstream media, not to mention the damage itâs done to American-Russian relations, the damage it has done to the way Russians, both elite Russians and young Russians, look at America today. This whole Russiagate has not only been fraudulent, itâs been a catastrophe."
"What Putin came to power to do was to modernize Russia, and that does not involve a cold war with the West. Period. End of story. Thatâs his mission. He wants to go down in history as the man who did this. Cold war, not to mention hot war, is spoiling what he sees as his mission."
"First of all, what everybody must want is peace between Russia and Ukraine..."
"Well, the first thing to remember is, is that President Obama was under enormous pressure to send military equipment to Ukraine/And why did he refuse? Well, Iâm not sure what his calculation was, but the, the wisdom of not sending is clear..."
"Why would you tempt one or another Ukrainian leadership to broaden the war, where you want above all to bring peace?"
"Weâre not going to be told, just like weâre not being told whatâs going on in these private conversations about deposing the president of Ukraine. ...and if the Russians leak them, it doesnât count. Is that right?"
"You know what they said. They saidâthey said, when this got leaked, that this is a low point in statecraft. After Snowden? After Snowden? I mean, what did Tennessee Williams used to say? Mendacity? Mendacity? The mendacity of it all? Donât they trust us, our government, to tell us a little bit of the truth at last?"
"The chance for Zelensky, the new president who had this very large victory, 70 plus percent to negotiate with Russia an end to that war, itâs got to be seized. And it requires the United States, basically, simply saying to Zelensky, 'Go for it, weâve got your back.'"
"Shouldâwe, American citizens, should be allowed to choose which policy we want? But they conceal it from us. And Iâm extremely angry that the people in this country who say they deplore this sort of thing have fallen silent."
"The highest-ranking State Department official, who presumably represents the Obama administration, and the American ambassador in Kiev are, to put it in blunt terms, plotting a coup dâĂŠtat against the elected president of Ukraine."
"Notice the intimacy with which the Americans deal with the two leading so-called âmoderateââand these are big shots, they both want to be presidentâUkrainian opposition.... Tyagnybok, that they say has got to play a role, heâs the leader of the Freedom Party, the Svoboda Party, but a large element of that party, to put it candidly, is quasi-fascist.... This is the guy... that Senator John McCain in November or December went to Kiev and embraced. Either McCain didnât know who he was, or he didnât care."
"The United States is prepared to embrace that guy, tooâanything to get rid of Yanukovych, because they think this is about Putin. Thatâs all they really got on their mind."
"The Russians are saying, âLook, youâre trying to depose Yanukovych, whoâs the elected government.â Think. If you overthrowâand, by the way, thereâs a presidential election in a year. The Russians are saying wait 'til the next election. If you overthrow himâand that's what Washington and Brussels are saying, that he must goâwhat are you doing to the possibility of democracy not only in Ukraine, but throughout this part of the world? And secondly, who do you think is going to come to power? Please tell us. And weâre silent."
"This is an opportunity for Trump to do the right thing and do it clean, to say to Zelensky, I support this negotiation with Putin. I hope that you and Putin can settle your conflicts."
"The degradation of mainstream American press coverage of Russia, a country still vital to US national security, has been under way for many years. If the recent tsunami of shamefully unprofessional and politically inflammatory articles in leading newspapers and magazines â particularly about the Sochi Olympics, Ukraine and, unfailingly, President Vladimir Putin â is an indication, this media malpractice is now pervasive and the new norm."
"Fascist or neo-Nazi revivalism is underway today in many countries, from Europe to the United States, but the Ukrainian version is of special importance and a particular danger. A large, growing, well-armed fascist movement has reappeared in a large European country that is the political epicenter of the new Cold War between the United States and Russiaâindeed a movement that not so much denies the Holocaust as glorifies it."
"We are watching history being made, but history of the worst kind... Ukraine is splitting apart down the middle, because Ukraine is not one country, contrary to what the American media, which speaks about the Ukraine and the Ukrainian people...Historically, ethnically, religiously, culturally, politically, economically, itâs two countries. One half wants to stay close to Russia; the other wants to go West."
"...The Western authorities, who bear some responsibility for whatâs happened, and who therefore also have blood on their hands, are taking no responsibility. Theyâre uttering utterly banal statements, which, because of their vacuous nature, are encouraging and rationalizing the people in Ukraine who are throwing Molotov cocktails, now have weapons, are shooting at police."
"Since the Clinton administration in the 1990s, the U.S.-led West has been on a steady march toward post-Soviet Russia, began with the expansion of NATO in the 1990s under Clinton. ...Then came the decision to build missile defense installations along Russiaâs borders, allegedly against Iran, a country which has neither nuclear weapons nor any missiles to deliver them with.... now the West is at the gates of Ukraine. So, thatâs the picture as Moscow sees it. And itâs rational. Itâs reasonable. Itâs hard to deny."
"In four, maybe more decades of... studying Russian-American relations, I never really took seriously the possibility of war between the United States and Russia..."
"Today I think itâs a very high probability, partly because of this Russiagate nonsense, partly because the lack of American leadership."
"To me, theyâre the greatest generation. My parents and their friends, to me, have qualities that I donât have, my children donât have. Theyâre very imaginative, hardworking people. They created so much. My mother could teach all day, and then she could come home and cook a perfect dinner, and her house always looked perfect. They had qualities, I think, that are just so admirable."
"The world is always in a turmoil over skin color. The hatred that people feel, Iâm not able to articulate it."
"Oh, the storiesâthose are an amalgam. I donât think she wouldâve defined herself like that, but my mother was a great storyteller. She always held me captive. She smoked Lucky Strike cigarettes, and sheâd always say, âAdrienne, I wanna tell you something.â She is just all over my whole writing career. And my father, because he gave speeches. Really, everything I write is a kind of mixture of his speeches, and her telling me all these stories about Georgia."