First Quote Added
April 10, 2026
Latest Quote Added
"Class field theory can be divided into two parts, local and global. In each part it is the study of all the abelian extensions of a certain base field. The underlying philosophy is to describe all abelian extensions in terms of objects residing within, or close to, the base field."
"The spinor genus is due to Eichler. His early results (1952) established the theory over the rational field and also, in certain special cases, over a number field. Kneser (1956) extended this to number fields in general. At about the same time Watson obtained Eichler's results by elementary methods over the rational field."
"I sing of warfare and a man at war. From the sea-coast of Troy in early days He came to Italy by destiny, To our Lavinian western shore, A fugitive, this captain, buffeted Cruelly on land as on the sea By blows from powers of the airâbehind them Baleful Juno in her sleepless rage. And cruel losses were his lot in war, Till he could found a city and bring home His gods to Latium, land of the Latin race, The Alban lords, and the high walls of Rome. Tell me the causes now, O Muse, how galled In her divine pride, and how sore at heart From her old wound, the queen of gods compelled himâ A man apart, devoted to his missionâ To undergo so many perilous days And enter on so many trials. Can anger Black as this prey on the minds of heaven?"
"Anger be now your song, immortal one, Akhilleus' anger, doomed and ruinous, that caused the Akhaians loss on bitter loss and crowded brave souls into the undergloom, leaving so many dead menâcarrion for dogs and birds; and the will of Zeus was done. Begin it when the two men first contending broke with one anotherâthe Lord Marshal AgamĂŠmnon, Atreus' son, and Prince Akhilleus. Among the gods, who brought this quarrel on? The son of Zeus by LĂŞto. AgamĂŠmnon angered him, so he made a burning wind of plague rise in the army: rank and file sickened and died for the ill their chief had done in despising a man of prayer."
"Sing in me, Muse, and through me tell the story of that man skilled in all ways of contending, the wanderer, harried for years on end, after he plundered the stronghold on the proud height of Troy. He saw the townlands and learned the minds of many distant men, and weathered many bitter nights and days in his deep heart at sea, while he fought only to save his life, to bring his shipmates home. But not by will nor valor could he save them, for their own recklessness destroyed them allâ children and fools, they killed and feasted on the cattle of Lord HĂŞlios, the Sun, and he who moves all day through the heaven took from their eyes the dawn of their return."
"As the French say, aimer est souffrir, to love is to suffer, and therefore, to say that love is essential to the Being of God is to say that in one way or another suffering is essential to his nature. That is to say something our forefathers would have declined to accept. They would have retorted that God, as Father, must be above or beyond suffering. If, however, we take seriously the declaration "God is love," how can we avoid the entailment that suffering is essential to the divine Being?"
"I've spent most of the last few days looking at information to help me reimagine... a history... that digs into the stratum below the ones that carry wars or political affairs... many of the questions are new. ...they have to do with our interaction with our ecological landscape, with what we might call the "natural West," as both idea in the mind and as tangible rock, grass, and flesh..."
"But the conventional narrative is lumpy, a story that glosses what passes for quiescence to focus on "events": the appearance of Lewis and Clark and [Father Jean Pierre] DeSmut, the removal of the native Salish people, the arrival of the railroads, irrigation and logging and town-building, booms in sheep, busts in apples. Settlement, local politics, participation in the nation's wars, schemes to make money. And now the resources are tourism and real estate based on scenery and an amenity lifestyle in a mountain paradise. These seem to be what we think of as history."
"I write this sitting in my hand-built adobe-style home looking out on the ... It's a place where the "Old" West and the "New" confront one another daily in often bazarre ways. ...I'm sort of a New Westerner myself. Because of relatively recent inventions like solar panels, satellites, cell phones, composting toilets, and four-wheel drive vehicles, I'm able to live where no one has since the Salish had the valley. ...perhaps it all just seems new because the prism through which we're accustomed to view the history of the region has only recently been polished sufficiently to gain the deep view."
"I actually tried to find some other analogy around the world in modern history that provided an example of any country that had killed this many animals in a short period of time of only a hundred years, and came to the conclusion that in American history between 1800 and about 1920 we engaged in the largest destruction of animal life discoverable anywhere in world history. We take out 30 million , 15 million s, probably between a half-million and a million gray wolves, a hundred thousand grizzly bears once ranged across the west. They were down to fewer than 500 by the end of the 19th century. I mean, and this story happens over and over again with every animal you can think of. We drove grizzlies into the mountains, drove off the plains into the mountains, wiped out all the bighorn sheep that were in the bad lands and canyons of the great plains, all gone by 1906. And so it's this slaughterhouse that takes place. And it takes place, interestingly enough, at the same time that the conservation movement is creating these big game parks in Africa, in Kenya, in what becomes Tanzania, in South Africa. And yet, on our own great plains we don't do it... because the great plains becomes the part of the west that we privatize with homesteads and with ranches, and everyone who settles on the great plains basically regards all these animals as an annoyance that we need to get rid of..."
"[C]oyotes have now become the most common large wild predators most Americans have ever seen... The tawny, tail-swishing, sharp-nosed wild dog of the American deserts is now our furtive alley predator everywhere from Miami to Anchorage, San Diego to Maine, and the stories are piling up."
"Chaco unquestionably had coyotes in town; coyote bones are common in the archeological sites of the inner city."
"A thousand years later we still use a form of the original Aztec name... coyotl, pronounced COY-yoht, accent of the first syllable... Their rich mythology produced numerous coyote gods... , or "Venerable Old Coyote"... sounds so much like the widespread North American god-avatar... that the empire-minded Aztecs may have borrowed him from tribes far northward..."
"[T]he truth is that coyotes have never been solely wilderness creatures. ...for the 15,000 years since we humans have been in North America, coyotes have always been capable of living among us. ...A coyote's primary prey happens to be... the mice and rats that flourish around and among us... By the time Europeans got to America, coyotes had long since sought out the major Indian cities of Mesoamerica."
"Their colonization of our cities, from the small burgs... to the biggest, loudest, and most frenetic of our metropolises, has become the wildlife story of our time. It deserves some explanation."
"Southwestern Hispanos... have long said that the only thing smarter than a coyote is God."
"Across the history of life on Earth, animals and birds of many species have routinely colonized new country. That's enough a marker of adaptive success that biologists apply the term "cosmopolitan" to species that are especially flexible regarding... habitats... Evolving in America, the ancestors of horses spread across Asia, Europe, and Africa, where they became zebras and s. Bovine evolution in Southeast Asia eventually brought bison to North America... But the range expansion of a wild animal [i.e., the coyote] for thousands of miles in every direction, often through dense settlements of humans who in recent history have been committed to that animal's eradication, is truly remarkable. A suite of factors must be involved."
"In one of the myriad ways humans and coyotes eerily mimic each one another, like us coyotes are cosmopolitan species, able to live in a remarkable range of habitats."
"The ancestral canids that would eventually produce coyotes sprang from North American stock, a line of animals that evolved in the American Southwest. That ancient coyote line spawned animals that migrated to Eurasia and eventually to Africa to become Old World s. In North America, archeological sites from the late Pleistocene have yielded coyote remains from as far east as Pennsylvania and West Virginia, and genetic evidence indicates that coyotes thronged eastward out of their core range in the American West in at least two swarms, roughly between three hundred and nine hundred years ago. The truth is, roaming coyotes have probably been swimming the Mississippi River to eastern America during most decades since there have been coyotes."
"Like Wilson and a slew of other authors working on what was once called "sociobiology" but is now usually called "evolutionary behavior" or "evolutionary psychology," I am convinced that there is a biological and universal human nature, and that it appears manifest in the human record.The question is, how might that insight... be folded into the narratives that give our immediate history meaning and power?"
"Optimal Foraging Strategy models... have asserted that what appears to be "conservation" among hunting peoples was (and is) actually a by-product of attempting to maximize hunting efficiency and use of time. Thus hunter-gatherers ignored depleted habitats and placed taboos on certain species not to achieve conservation but in search of maximum yield for minimum effort. As wildlife populations shrank, this hypothesis argues, hunters actually hunted more, and they range farther afield."
"[M]any of us came... through a tradition in Western writing that harkens back to ... ... and James Malin (who pioneered in systematic ecological history). All these pioneers in the field wrote between the 1890s and the 1950s. Brilliant contemporary writers like and Richard White may have made environmental history "the coolest history around"... but they didn't invent it. ...For many writers in the twentieth century, from Webb to the 1937 Committee on the Future of the Great Plains to Frank and Deborah Popper, the Great Plains are the ultimate proving ground of environmentalism's doomsday predictions for the Modernist experiment in a massively altered landscape."
"The humanities have usually left evolutionary nature to the biologists. But some of the other questions here are... posed by the multidisciplinary field known as ."
"[T]he human past... belongs not only to (say) the Blackfeet or the Mormons, but to all of us. ...[W]e humans cannot be considered as separate from the earth of our evolution. We, too, are "natural.""
"Whose natural West has this been all along? Is it evolution's superorganism? Or did the United States inherit a natural stage actually shaped by the very long human inhabitation? ...Why do places like Hispanic New Mexico, Mormon Utah, and Montana seem so different when nature would seem so similar in all three? Or are they actually all that different? ...[I]s there something else more universal that our richly layered cultures disguise, perhaps something as essential as an evolutionarily derived "human nature" that influences the way that weâall of usâsee and interact with the flux we call the natural world?"
"Protocols: of himself and of humanity all will discern as it were fate with its mysterious ways. None will know what the king wishes to attain by his dispositions, and therefore none will dare to stand across an unknown pathâŚ. That the people may know and love their king, it is indispensable for him to converse in the market-places with his people. This ensures the necessary clinching of two forces which are now divided one from another by us by the terror. The prop of humanity in the person of the supreme lord of all the world of the holy seed of David must sacrifice to his people all personal inclinations."
"Dialogue in Hell: inscrutableâŚThey never know if some enterprise already prepared will not descend on them from one day to the other. A Prince whose power is founded upon a democratic base, must speak carefully, albeit popularly. If necessary he must not fear to speak like a demagogue, for after all he is the people, and he must have its passions... You asked me a moment ago if I knew self-denial, if I would sacrifice myself for my people, relinquish the throne if necessary; now you have my answer, I can relinquish it as a martyr."
"Graves: An obvious adaptation! Where the âDialogueâ uses âââprinceâââ, the âProtocolsâ uses âââking.âââ"
"Protocols: Number 24, paras. 3-15 Certain members of the sneed of David will prepare the kings and their heirs inducting them into the most secret mysteries of the political, into schemes of government, but providing always that none may come to knowledge of the secretsâŚ. The kingâs plan of action for the current moment, and all the more so for the future, will be unknown, even to those who are called his closest counselors. <br? Only the king and the three who stood sponsor for him will know what is coming. In the person of the king who with unbending will is master."
"Dialogue in Hell: Twenty-third through twenty-fifth dialogues"
"Graves:âŚunless, of course, this was not written by the elders at allâŚas we suspect!"
"Protocols Number 21, paras 1, 11 To what I reported to you at the last meeting I shall say nothing more, because they have fed us with national moneys opf the GoyimâŚ. We have taken advantage of the venality of administrators and slackness of rulers to get our moneys twice,thrice, and more times over, by lending to Goy governments moneys which were not."
"Dialogue in Hell: Twenty-First Dialogue"
"Graves: NowâŚwhy would the elders of Zion in their protocols of world domination devote so much time to the âââmundaneâââ details of financial management??"
"Protocols: these coppers for its own need without additional interest. So long as loans were internal the Goyim only shuffled their money from the pockets of the poor to those of the rich, but when we brought up the necessary person in order to transfer the loans into the external sphere, all the wealth of States flowed into out cash boxesâŚ. We shall so hedge about our system of accounting that neither the ruler nor the most insignificant public servant will be in a position to divery even the smallest sum from its destination without detection or to direct it in another direction except that which will be once fixed in a definite plan of action."
"Dialogue in Hell: limitation to the increase of taxes. So they conceived a scheme truly admirable for its simplicityâŚ. A special fund was created, the capitalized resources of which are meant to be a permanent redemption of the public debt by successive fractions; so that every time the state borrows, it must endow the sinking fund with a certain capital for the purpose of liquidating the new debt at a given timeâŚ. Our system of accounting, fruit of long experience, is distinguished by the clarity and the certitude of its procedures. It obstructs abuses and gives to no one, from the smallest official to the chief of state himself, the means of diverting the least sum from its original purpose, or of making irregular use of it."
"Protocols: What also indeed is, in substance, a loan, especially a foreign loan? A loan is an issue of government bills of exchange containing a percentage obligation commensurate to the sum of the loan capital. If the loan bears a charge of 5 percent, then in twenty years the State vainly pays away in interest a sum equal to the loan borrowed, in forty years it is paying a double sum, in sixty treble and all the while the debt remains an unpaid debt. from this calculation it is obvious that with any form of taxation per head the State is bailing out the last coppers of the poor taxpayers in order to settle accountsâŚ;instead of collecting"
"Dialogue in Hell: probable resources. How are loans made? By the issue of bonds containing an obligation on the part of the government to pay a yearly interest proportionate to the capital which has been depleted. If the loan is at 5 percent, for instance, the state, at the end of twenty years, has paid a sum equal to the capital borrowed; at the end of forty years, a double amount; at the end of sixty years, a triple amount, and yet it always remains debtor for the total of the same capital. The modern states wished to put a necessary"
"Protocols: supplementary budget, and all this ends up in accordance with the sum of the total addition, the annual departure from the normal reaches up as much as 50 percent in a year, and so the annual budget is trebled in ten yearsâŚ. Every kind of loan proves infirmity in the State and a want of understanding of the rights of the State. Loans hang like a sword of Damocles over the heads of rulers, who, instead of taking from their subjects by a temporary tax, come begging with outstretched palm of our bankersâŚthe Goy states go on in persisting in putting more on to themselves to that they must inevitably perish, drained by voluntary blood-letting."
"Dialogue in Hell: finally comes the liquidation which adds 15, 20, or 30 millions. In short, in the general reckoning, the total of the unforeseen expenses forms one-third of the estimated expenditures. It is upon this last figure that the legislative vote of the Chambers falls as a form of confirmation. In this way, at the end of ten years the budget can be doubles and even tripledâŚ."
"Protocols Number 20, paras. 26-32 The budgets of income and expenditure will be carried out side by side that they may not be obscured by distance one to another. âŚThe first irregularity, as we shall point out, consists in their beginning with drawing up a single budget which year after year grows owing to the following cause: this budget is dragged out to half the year, ten they demand a"
"Dialogue in Hell: Twentieth Dialogue"
"Graves: Now, why on earth would the Elders of Zion have their kingdom be an apologia for Vishnu, a Hindu God?"
"Protocols: Number 17, paras. 7,8 Our kingdom will be an apologia of the divinity Vishnu, in whom is found its personification â in our hundred hands will be, one in each, the springs of the machinery of social life. We shall see everything without the aid of official policeâŚ. In our programs one-third of our subjects will keep the rest under observationâŚ. Our agents will be taken from the higher as well as the lower raniks of society, from among the administrative class who spend their time in amusements, editors, printers, and publishers, booksellers, clerks, and salesmen, workmen, coachmen, lackeys, et ceteraâŚ."
"Dialogue in Hell: Seventeenth Dialogue"
"Graves: ââŚTigers with the souls of sheep and heads full of windâŚâ A CLEVER METAPHORâŚNO WONDER THE âPROTOCOLSâ COPIES IT!"
"Protocols: Number 15, para. 6 You cannot imagine to what extent the wisest of the goyim can be brought to a state of unconscious naivete in the presence of this condition of high conceit of themselves, and at the same time how easy it is to take the heart out of themâŚ. These tigers in appearance have the souls of sheep and the wind blows freely through their heads. We have set them on the hobby-horse of an idea about the absorbtion of individuality by the symbolic unit of CollectivismâŚ."
"Dialogue in Hell: Thirteenth Dialogue"
"Graves: When copying the âDialoguesââŚwhy would the :Protocolsâ alter âcoups d'etat: to ârevolutionâ?"
"Protocols: Number 11, paras. 1,2 The state Council has been, as it were, the emphatic expression of the ruler; it will be, as the âshowâ part of the Legislative Corps what may be called the editorial committee of the alws and decrees of the ruler. Br> This, then, is the program of the new constitution. We shall make Law, Right, and Justice (1) in the guide of proposals to the Legislative Corps, (2) by the decrees of the president under the guise of general regulations, of orders of the Senate and of resolutions of the State Council in the guise of ministerial orders, (3) and in case a suitable occasion should arise, in the form of a revolution in the State."