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“It is well known that the central problem of the whole of modern mathematics is the study of transcendental functions defined by differential equations.”

“Mystery is an inescapable ingredient of mathematics. Mathematics is full of unanswered questions, which far outnumber known theorems and results. It's the nature of mathematics to pose more problems than it can solve. Indeed, mathematics itself may be built on small islands of truth comprising the pieces of mathematics that can be validated by relatively short proofs. All else is speculation.”

“But in fact as knowledge expands globally it is being lost locally. This is the paramount truth of the modern history of rural places everywhere in the world. And it is the gravest problem of land use: Modern humans typically are using places whose nature they have never known and whose history they have forgotten; thus ignorant, they almost necessarily abuse what they use.”

“The current economic crisis...has numerous causes and sends a powerful message about the need for a profound revision of the model of global economic development. It's an acute symptom that is added to other more grave and already well-known ones, such as the continued imbalance between wealth and poverty, the scandal of hunger, the ecological emergency and the problem of unemployment, which has now become general. In this context a strategic re-launching of agriculture appears decisive.”

“Isn't it sad, that in a time when we face so many devastating problems - poverty, HIV/AIDS, war and conflict - that in our Communion we should be investing so much time and energy on disagreement about sexual orientation? [The Communion, which] used to be known for embodying the attribute of comprehensiveness, of inclusiveness, where we were meant to accommodate all and diverse views, saying we may differ in our theology but we belong together as sisters and brothers [now seems] hell-bent on excommunicating one another. God must look on and God must weep.”

“Our principal constraints are cultural. During the last two centuries we have known nothing but exponential growth and in parallel we have evolved what amounts to an exponential-growth culture, a culture so heavily dependent upon the continuance of exponential growth for its stability that it is incapable of reckoning with problems of non-growth.”

“Although the problem of transmuting chemical elements into each other is much older than a satisfactory definition of the very concept of chemical element, it is well known that the first and most important step towards its solution was made only nineteen years ago by the late Lord Rutherford, who started the method of the nuclear bombardments.”

“Donald Judd spoke of a 'neutral' surface, but what is meant? Neutrality must involve some relationship (to other ways of painting, thinking?) He would have to include these in his work to establish the neutrality of that surface. He also used 'non' or 'not' - expressive - this is an early problem - a negative solution or - expression of new sense - which can help one into - what one has not known. 'Neutral' expresses an intention.”

“I never saw so intelligent a man have so much trouble in getting out a connected sentence. Ever since I have known him, he has desired to have a long talk with me, but he never gets started; and yet each time he meets me with renewed zest for the outpouring. It is like getting congealed liquid from a demijohn; you know the jug is large and full, but getting the contents out is the problem.”

“There are problems connected with infidelity and problems connected with being faithful at any cost, and I am for letting those concerned choose the problems they'd prefer. There need not be one rule for all. Infidelity is enlarging and fragmenting and very very dangerous, but it has been known to retrieve people as well as marriages, so it can't be only bad.”

“Capitalism with near-full employment was an impressive spectacle. But a growth in wealth is not at all the same thing as reducing poverty. A universal paean was raised in praise of growth. Growth was going to solve all problems. No need to bother about poverty. Growth will lift up the bottom and poverty will disappear without any need to pay attention to it. The economists, who should have known better, fell in with the same cry.”

“I've known people that was a part of a family and always feel that the family liked everyone else but them. That hurts, and that's as deep a hurt as you can possibly get. I've known people that would have problems with their love life. This is kind of how blues began - out of feeling misused, mistreated. Feeling like they had nobody to turn to. Blues don't necessarily have to be sung by a person that came from Mississippi as I did, because there are people having problems all over the world.”

“One of many problems with survey research in general is that you can only survey the survivors. In other words, if you were to do a survey of people who were known to have played Russian Roulette and you sent out the questions before the time they were going to play and then you come back six months after they played Russian Roulette, you would probably discover that among the people who did come back there was no harm done.”

“At first the, only subconsciously apprehended, approaching confluences of complex events make themselves known intuitively within the intellectual weather. Then comes a gradually awakening consciousness of the presence of new families of differentiating-out challenging concepts of every day prominence. It is with these randomly patterning families of separate concepts that evolution is about to deal integratively. As a now specific unitary problem it may be disposed of effectively when and if that unified problem becomes "adequately stated" and thereby comprehensibly solvable.”

“The problem is that those of us sympathetic with the plight of indigenous people view them as quaint and colorful, but somehow reduced to margins of history as the real world [(our world)] moves on We will be known as an era in which we stood by and either actively endorsed or passively accepted the massive destruction of both biological and cultural diversity on the planet.”

“Poems give us permission to be unsure, in ways we must be if we are ever to learn anything not already known. If you look with open eyes at your actual life, it's always going to be the kind of long division problem that doesn't work out perfectly evenly. Poems let you accept the multiplicity and complexity of the actual, they let us navigate the unnavigable, insoluble parts of our individual fates and shared existence.”

“We always see the Holocaust in terms of black-and-white images, barking Germans, cowering Jews. We know very well-known fixed places like Auschwitz, Birkenau, Treblinka, and Beltzec. Instead, war can live in a couple having a spat, when we say, "That was a real war." We very rarely have the Holocaust live in the terms of today. And I think that's a problem, because it becomes ancient history.”

“The classes of problems which are respectively known and not known to have good algorithms are of great theoretical interest. [...] I conjecture that there is no good algorithm for the traveling salesman problem. My reasons are the same as for any mathematical conjecture: (1) It is a legitimate mathematical possibility, and (2) I do not know.”

“A purpose derived from a false premise - that a deity has ordained submission to his will - cannot merit respect. The pursuit of Enlightenment-era goals - solving our world's problems through rational discourse, rather than through religion and tradition - provides ample grounds for a purposive existence. It is not for nothing that the Enlightenment, when atheism truly began to take hold, was also known as the Age of Reason.”