Academics From The United States

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April 10, 2026

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"The classification of s shows that every finite simple group either fits into one of about 20 infinite families, or is one of 26 exceptions, called . The is the largest of the sporadic finite simple groups, and was discovered by and ... Its order is 8080,17424,79451,28758,86459,90496,17107,57005,75436,80000,00000 = 246 ⋅ 320 ⋅ 59 ⋅ 76 ⋅ 112 ⋅ 133 ⋅ 17 ⋅ 19 ⋅ 23 ⋅29 ⋅ 31 ⋅ 41 ⋅ 47 ⋅ 59 ⋅ 71 (which is roughly the number of elementary particles in the earth). The smallest irreducible representations have dimensions 1, 196883, 21296876, ... The has the power series expansion j(τ) = q−1 + 744 + 196884q + 21493760q2 +... where q = e2π iτ, and is in some sense the simplest nonconstant function satisfying the functional equations j(τ) = j(τ + 1) = j(−1/τ). noticed some rather weird relations between coefficients of the elliptic modular function and the representations of the monster as follows: 1 = 1 196884 = 196883 + 1 21493760 = 21296876 + 196883 + 1 where the numbers on the left are coefficients of j(τ) and the numbers on the right are dimensions of irreducible representations of the monster. At the time he discovered these relations, several people thought it so unlikely that there could be a relation between the monster and the elliptic modular function that they politely told McKay that he was talking nonsense. The term “monstrous moonshine” (coined by ) refers to various extensions of McKay’s observation, and in particular to relations between sporadic simple groups and modular functions."

- Richard Borcherds

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"An example of how this is the best of times for evolutionary biology is provided by the recent elucidation of a draft sequence of all 3-billion-plus nucleotide pairs in the human genome et al. 2001, et al. 2001). ... Some prognosticators believe that the application of recombinant DNA methods to gene therapy and gene replacement (the repair or replacement of defective genes in the body) soon may lead to a revolution in the history of medicine comparable to the introductions of sanitation, anesthesia, and antibiotics and vaccines. If the new recombinant gene technologies live up to their early billing, we or our children might see a day when gene therapy can alleviate sickle cell anemia, heart disease, cancer, or various other human genetic disorders. Just as we may marvel at our forebears' fortitude in the dark ages before the advent of our modern medicine, our grandchildren may look back with marvel at our fortitude in the era preceding the wide availability of gene therapies. Nonetheless, the technical hurdles remain daunting. … … Ecologists and natural historians are painfully aware that the subject matter of their devotion—biodiversity—is under assault worldwide as the continents fill with people. The collective weight of human activities is leading to the disappearance of wilderness. Atmosphere and oceans are being polluted, marine fisheries are collapsing worldwide, and wetlands and freshwater aquifers have shrunk dramatically. In short, Earth's renewable and nonrenewable resources are being tragically squandered. In the Amazon Basin, for example, which is famous for its rich biota, slash-and-burn fires are so numerous that their light is visible to astronauts in the space shuttle. Some of these astronauts have felt moved to speak in a deeply spiritual tenor about the beauty of the “blue planet” and to bemoan how we are despoiling this special, fragile place."

- John Avise

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"In August 1945 British military intelligence unwittingly performed a splendid experiment in the social psychology of natural scientists. They delivered the news of Hiroshima to interned German atomic scientists, and secretly recorded the conversation that resulted. Only fragments of the record have got past restrictions on “classified” material, but they are enough to reveal the German scientists’ mentality—their soul, if I may use an outmoded term. They were conscience-stricken; they had failed “German science.” Casting about for reasons, they took note of the obvious disparity in size: the American A-bomb project had been enormously larger than their own. But that contrast only deepened the anguish of self-accusation. “We would not have had the moral courage,” Werner Heisenberg, the originator of the Uncertainty Principle, exclaimed, “to recommend to the government in the spring of 1942 that they should employ 120,000 people.” ... Implicit in that soul-searching was one measure of the scientist’s social and moral worth: his capacity to beat the competition, to win, whether fame for himself or wars for his country, or both together. When Heisenberg emerged from internment and discovered that the winners were uneasy, he turned to a different measure of the scientist’s worth. He and his colleagues had shown moral courage, he decided, of a higher order. They had dragged their feet, to withhold the A-bomb from their Nazi masters. ..."

- David Joravsky

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"In early 2014, the Department of Justice and Education issued guidelines pressuring public school districts to adopt racial quotas when disciplining children. The basis for this guidance was studies showing that black children were over three times more likely to face serious punishment--suspension or expulsion--for misbehaving at school. The government concluded that school districts were engaging in massive illegal discrimination against black students. In fact, however, the government had no basis for its conclusion. The Supreme Court has explicitly stated that racial disparities in punishment do not by themselves prove discrimination, as they may just be consistent with the underlying rates of misbehavior by each group. There are no valid statistics (and the government hasn't cited any) from which one can infer that black students and white students would be expected to engage in serious misbehavior in school at the same rate. Unless there is some reason to expect kids to behave completely differently at school than outside of it, the school discipline figures are in line with what one would expect. African-American minors are arrested outside of school for violent crime at a rate approximately 3.5 times their share of the population. Moreover, as former Department of Education attorney Hans Bader notes, the government's own statistics show that white boys were over two times as likely to be suspended as their peers of Asian descent. By the government's logic, this means, absurdly, that school districts must be discriminating against white students and in favor of Asians. As of this writing, Minneapolis education authorities have announced their intention to end the black/white gap in suspensions and expulsions, a plan that struck many observers as announcing the imposition of quotas on school discipline."

- David Bernstein

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"…we cannot even establish a definite correlation between the end of the Indus civilization and the Aryan invasion. But even if we could, what is the material evidence to substantiate the supposed invasion and massacre? Where are the burned fortresses, the arrowheads, weapons, pieces of armor, the smashed chariots and bodies of the invaders and defenders? Despite extensive excavations at the largest Harappan sites, there is not a single bit of evidence that can be brought forth as unconditional proof of an armed conquest and the destruction on the supposed scale of Aryan invasion. It is interesting that Sir John Marshall himself, the Director of the Mohenjo-daro excavations that first revealed the "massacre" remains separated the end of the Indus civilization from the time of the Aryan invasion by two centuries. He attributed the slayings to bandits from the hills of west of the Indus, who carried out sporadic raids on an already tired, decaying, and defenseless civilization. The contemporaneity of the skeletal remains is anything but certain. Whereas a couple of them definitely seem to represent a slaughter, in situ, the bulk of the bones were found in contexts suggesting burials of sloppiest and most irreverent nature. There is no destruction level covering the latest period of the city, no sign of extensive burning, no bodies of warriors clad in armor and surrounded by weapons of war. The citadel, the only fortified part of the city, yielded no evidence of a final defence. …..Indra and the barbarian hordes are exonerated."

- George F. Dales

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"Some former Bush officials, however, believed that the Justice Department's failure to pursue the New Black Panther Party case resulted from top Obama administration officials' ideological belief that civil rights laws only apply to protect members of minority groups from discrimination by whites. Department spokeswoman Tracy Schmaler denied any such motives. She asserted that "the department makes enforcement decisions based on the merits, not the race, gender or ethnicity of any party involved". But an anonymous Justice Department official told the Washington Post that "the Voting Rights Act was passed because people like Bull Connor [a white police commissioner] were hitting people like John Lewis [a black civil rights activist], not the other way around". The Post concluded that the New Black Panther Party case "tapped into deep divisions within the Justice Department that persist today over whether the agency should focus on protecting historically oppressed minorities or enforce laws without regard to race". The Office of Professional Responsibility's report on the case found that several former and current DOJ attorneys told investigators under oath that some lawyers in the Civil Rights Division don't believe that the DOJ should bring cases involving white victims of racial discrimination. The report also found that Voting Section lawyers believed that their boss, appointed by President Obama, wanted them to bring only cases protecting members of American minority groups. She phrased this as having the section pursue only "traditional" civil rights enforcement cases. Her employees understood that by "traditional" she meant only cases involving minority victims."

- David Bernstein

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