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“I know perfectly well that only in happy instants am I lucky enough to lose myself in my work. The painter-poet feels that his true immutable essence comes from that invisible realm that offers him an image of reality....I feel that I do not exist in time, but that time exists in me. I can also realize that it is not given to me to solve the mystery of art in an absolute fashion. Nonetheless, I am almost brought to believe that I am about to get my hands on the divine.”

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Author:Carlo Carra
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“Mathematical thinking is not the same as doing mathematics - at least not as mathematics is typically presented in our school system. School math typically focuses on learning procedures to solve highly stereotyped problems. Professional mathematicians think a certain way to solve real problems, problems that can arise from the everyday world, or from science, or from within mathematics itself. The key to success in school math is to learn to think inside-the-box. In contrast, a key feature of mathematical thinking is thinking outside-the-box - a valuable ability in today's world.”

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Author:Keith Devlin
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“Solving problems is a practical skill like, let us say, swimming. We acquire any practical skill by imitation and practice. Trying to swim, you imitate what other people do with their hands and feet to keep their heads above water, and, finally, you learn to swim by practicing swimming. Trying to solve problems, you have to observe and to imitate what other people do when solving problems, and, finally, you learn to do problems by doing them.”

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Author:George Polya
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“But I like to think that a lot of managers and executives trying to solve problems miss the forest for the trees by forgetting to look at their people -- not at how much more they can get from their people or how they can more effectively manage their people. I think they need to look a little more closely at what it's like for their people to come to work there every day.”

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Book:From Worst to First: Behind the Scenes of Continental's Remarkable Comeback
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“Fiction ought to announce the problems, dramatize the problems, display them. Yet offer no set answer. An answer would solve the mystery. Writing fiction, for me, is about putting on paper my obsessive interest in something mysterious. I may figure out the source of the mystery, the things that brought some action or image to my mind, but to make an equation of it would ruin the story.”

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Author:Antonya Nelson
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“To put it simply, we need to keep the arts in education because they instill in students the habits of mind that last a lifetime: critical analysis skills, the ability to deal with ambiguity and to solve problems, perseverance and a drive for excellence. Moreover, the creative skills children develop through the arts carry them toward new ideas, new experiences, and new challenges, not to mention personal satisfaction. This is the intrinsic value of the arts, and it cannot be overestimated.”

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Author:Rod Paige
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“I've told the kids in the ghettos that violence won't solve their problems, but then they ask me, and rightly so; "Why does the government use massive doses of violence to bring about the change it wants in the world?" After this I knew that I could no longer speak against the violence in the ghettos without also speaking against the violence of my government.”

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Author:Martin Luther King, Jr.
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“Tradition is the living faith of the dead; traditionalism is the dead faith of the living. Tradition lives in conversation with the past, while remembering where we are and when we are and that it is we who have to decide. Traditionalism supposes that nothing should ever be done for the first time, so all that is needed to solve any problem is to arrive at the supposedly unanimous testimony of this homogenized tradition.”

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Book:Orthodoxy & Western Culture: A Collection of Essays Honoring Jaroslav Pelikan on His Eightieth Birthday
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“I think it's very dangerous for a free society to have all the information distilled and packaged by our government and given to us. Do we know to this day who we killed in Iraq? I don't think so. If bringing war into the living room means that we as a people will say we don't want to do it that way anymore we want to figure out other ways to solve these conflicts, then I would say that photography and television have done us a great service.”

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Author:Michael Deaver
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“Everyone engaged in research must have had the experience of working with feverish and prolonged intensity to write a paper which no one else will read or to solve a problem which no one else thinks important and which will bring no conceivable reward - which may only confirm a general opinion that the researcher is wasting his time on irrelevancies.”

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Book:The Essential Chomsky
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“When I entered graduate school I had carried out the instructions given to me by my father and had knocked on both Murray Gell-Mann's and Feynman's doors and asked them what they were currently doing. Murray wrote down the partition function for the three-dimensional Ising model and said it would be nice if I could solve it (at least that is how I remember the conversation). Feynman's answer was 'nothing'.”

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Author:Kenneth G. Wilson
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“What is the central core of the subject [computer science]? What is it that distinguishes it from the separate subjects with which it is related? What is the linking thread which gathers these disparate branches into a single discipline. My answer to these questions is simple -it is the art of programming a computer. It is the art of designing efficient and elegant methods of getting a computer to solve problems, theoretical or practical, small or large, simple or complex. It is the art of translating this design into an effective and accurate computer program.”

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Author:Tony Hoare
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“...methods are more important than facts. The educational value of a problem given to a student depends mostly on how often the thought processes that are invoked to solve it will be helpful in later situations. It has little to do with how useful the answer to the problem may be. On the other hand, a good problem must also motivate the students; they should be interested in seeing the answer. Since students differ so greatly, I cannot expect everyone to like the problems that please me.”

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Author:Donald Knuth
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