“General Marshall was "impatient with a type of nonsense particularly prevalent in the State Department known as 'kicking the problem around.' All of us who have work with General Marshall have reported a recurring outburst of his: 'Don't fight the problem, gentlemen, solve it!' With him the time to be devoted to analysis of a problem, to balancing 'on the one hand' against 'on the other hand,' was definitely limited. The discussion he wanted was about plans of action"”

— Dean Acheson, book Present at the Creation: My Years in the State Department

Present at the Creation: My Years in the State Department (1969), State Department Management, Leadership Perspectives

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Dean Acheson49

Statesman and lawyer 1893–1971

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“Suppose two politicians are running for president, and one goes through the farm section and is asked, "What are you going to do about the farm question?" And he knows right away - bang, bang, bang. Now he goes to the next campaigner who comes through. "What are you going to do on the farm problem?" "Well, I don't know. I used to be a general, and I don't know anything about farming. But it seems to me it must be a very difficult problem, because for twelve, fifteen, twenty years people have been struggling with it, and people say that they know how to solve the farm problem. And it must be a hard problem. So the way I intend to solve the farm problem is to gather around me a lot of people who know something about it, to look at all the experience that we have had with this problem before, to take a certain amount of time at it, and then to come to some conclusion in a reasonable way about it. Now, I can't tell you ahead of time what solution, but I can give you some of the principles I'll try to use - not to make things difficult for individual farmers, if there are any special problems we will have to have some way to take care of them," etc., etc., etc.
Now such a man would never get anywhere in this country, I think. It's never been tried, anyway. This is in the attitude of mind of the populace, that they have to have an answer and that a man who gives an answer is better than a man who gives no answer, when the real fact of the matter is, in most cases, it is the other way around. And the result of this of course is that the politician must give an answer. And the result of this is that political promises can never be kept. It is a mechanical fact; it is impossible. The result of that is that nobody believes campaign promises. And the result of that is a general disparaging of politics, a general lack of respect for the people who are trying to solve problems, and so forth. It's all generated from the very beginning (maybe - this is a simple analysis). It's all generated, maybe, by the fact that the attitude of the populace is to try to find the answer instead of trying to find a man who has a way of getting at the answer.”

Richard Feynman book The Meaning of It All

lecture III: "This Unscientific Age"
The Meaning of It All (1999)

“Sometimes… Diophantus solves a problem wholly or in part by synthesis…. Although… Diophantus does not treat his problems generally and is usually content with finding any particular numbers which happen to satisfy the conditions of his problems,… he does occasionally attempt such general solutions as were possible to him. But these solutions are not often exhaustive because he had no symbol for a general coefficient.”

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“The problems that agitate one generation are exstinguished for the next, not because they have been solved but because the general lack of interest sweeps them away.”

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This Business of Living (1935-1950)

“If we deal with our problem not knowing, or pretending not to know the general theory encompassing the concrete case before us, if we tackle the problem "with bare hands", we have a better chance to understand the scientist's attitude in general, and especially the task of the applied mathematician.”

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“Even the humblest men have a strange reason behind greed. Every man thinks money solves problems - and every man thinks not just of himself, but his next three generations - there is a probability he will live to see those generations - and he wants to care for them in times of strife.”

Siddharth Katragadda (1972) Indian writer

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“Over time, every way of thinking generates important problems that it cannot solve.”

Russell L. Ackoff (1919–2009) Scientist

Source: 1990s, Re-Creating the Corporation (1999), p. 3. Opening sentence.

“They [laboratory groups] bypass such questions as how one comes to know that a problem exists, what it does to solution adequacy to be working on several different things concurrently with problem solving, what it's like to go about solving a felt, intuited problem rather than an explicitly stated consensually validated problem which was made visible to all members at a specific point in time.”

Karl E. Weick (1936) Organisational psychologist

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George Dantzig (1914–2005) American mathematician

Dantzig (1991) as cited in: " Professor George Dantzig: Linear Programming Founder Turns 80 http://www.stanford.edu/group/SOL/dantzig.html", in: SIAM News, November 1994.

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“Hippocrates himself is an example of the concurrent study of the two departments. On the one hand, he was the first of the Greeks who is known to have compiled a book of Elements. This book, we may be sure, contained in particular the most important propositions about the circle included in Euclid, Book III. But a much more important proposition is attributed to Hippocrates; he is said to have been the first to prove that circles are to one another as the squares on their diameters (= Eucl. XII., 2) with the deduction that similar segments of circles are to one another as the squares on their bases. These propositions were used by him in his tract on the squaring of lunes, which was intended to lead up to the squaring of the circle. The latter problem is one which must have exercised practical geometers from time immemorial. Anaxagoras for instance is said to have worked at the problem while in prison.”

Thomas Little Heath (1861–1940) British civil servant and academic

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