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Solutions Quotes

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Solutions Quotes

“Network news accustoms audiences to assertion not argument. Over time, it reinforces the notion that politics is about visceral identification and apposition, not complex problems and their solutions. ... sound bites aren't very helpful. They can tell a voter what a candidate believes, but not why. And many issues are too complex to be freeze dried into a slogan and a smile. ... What's lost in a world in which everything's an ad? Perhaps the country that created the assembly line has simply found a more efficient way to do politics.”

“Actually solving the puzzles in the book isn't going to improve anyone's writing, but "trying to solve the puzzle" is one way to think about what a lot of us - writers and other artists - do every day. Step one is to recognize the problem, step two is deciding what constraints you want to impose or respect, and step three is finding a pleasing/surprising/exciting solution.”

“Thus you see, most noble Sir, how this type of solution to the Königsberg bridge problem bears little relationship to mathematics, and I do not understand why you expect a mathematician to produce it, rather than anyone else, for the solution is based on reason alone, and its discovery does not depend on any mathematical principle.”

“Outside observers often assume that the more complicted a piece of mathematics is, the more mathematicians admire it. Nothing could be further from the truth. Mathematicians admire elegance and simplicity above all else, and the ultimate goal in solving a problem is to find the method that does the job in the most efficient manner. Though the major accolades are given to the individual who solves a particular problem first, credit (and gratitude) always goes to those who subsequently find a simpler solution.”

“You have to trust your instincts and know that the right question or the right answer will come to you. You don’t always have to have the solution to the problem; sometimes it’s very interesting to watch somebody go through the process of solving the problem, but it’s got to be truthful.”

“There is no way to help a learner to be disciplined, active, and thoroughly engaged unless he perceives a problem to be a problem or whatever is to-be-learned as worth learning, and unless he plays an active role in determining the process of solution.”

“If P=NP, then the world would be a profoundly different place than we usually assume it to be. There would be no special value in “creative leaps,” no fundamental gap between solving a problem and recognizing the solution once it's found. Everyone who could appreciate a symphony would be Mozart; everyone who could follow a step-by-step argument would be Gauss; everyone who could recognize a good investment strategy would be Warren Buffett.”

“It ticks me no end when people get ticked off at those of us who comment audibly and in print on events and problems. That's what we're paid for. Why clutter up your mind with a bunch of facts that might inhibit the solve-ability of us who must express an opinion? After all, all the world cries out for a solution to its problems, and we supply them right and left. Come to think of it, it's we who should be giving our deplorers and detractors the blast; because 99% of the time they don't do as we say.”