
“If you cannot solve the proposed problem, try to solve first a simpler related problem.”
Mathematical Methods in Science (1977), p.164
Seventh Thesis
Idea for a Universal History from a Cosmopolitan Point of View (1784)
“If you cannot solve the proposed problem, try to solve first a simpler related problem.”
Mathematical Methods in Science (1977), p.164
Fifth Thesis
Idea for a Universal History from a Cosmopolitan Point of View (1784)
As quoted in Man Creates Art Creates Man (1973) by Duane Preble, p. 14
Variant translation: Art is solving problems that cannot be formulated before they have been solved. The shaping of the question is part of the answer.
As quoted in Architecture: form, space, and order (2007) by Francis D.K. Ching, p. ix
Context: After all, what is art? Art is the creative process and it goes through all fields. Einstein’s theory of relativity — now that is a work of art! Einstein was more of an artist in physics than on his violin.
Art is this: art is the solution of a problem which cannot be expressed explicitly until it is solved.
“A system represents someone's solution to a problem. The system doesn't solve the problem.”
Source: General systemantics, an essay on how systems work, and especially how they fail..., 1975, p. 74 Cited in: Roger Kaufman and Fenwick W. English (1979) Needs Assessment: Concept and Application, p. 94
Source: 1980s, That Benediction is Where You Are (1985), p. 18
Context: From childhood we are trained to have problems. When we are sent to school, we have to learn how to write, how to read, and all the rest of it. How to write becomes a problem to the child. Please follow this carefully. Mathematics becomes a problem, history becomes a problem, as does chemistry. So the child is educated, from childhood, to live with problems — the problem of God, problem of a dozen things. So our brains are conditioned, trained, educated to live with problems. From childhood we have done this. What happens when a brain is educated in problems? It can never solve problems; it can only create more problems. When a brain that is trained to have problems, and to live with problems, solves one problem, in the very solution of that problem, it creates more problems. From childhood we are trained, educated to live with problems and, therefore, being centred in problems, we can never solve any problem completely. It is only the free brain that is not conditioned to problems that can solve problems. It is one of our constant burdens to have problems all the time. Therefore our brains are never quiet, free to observe, to look. So we are asking: Is it possible not to have a single problem but to face problems? But to understand those problems, and to totally resolve them, the brain must be free.
As quoted by Donald Rumsfeld in "Sharon's Victory" (link is to a preview, but the quote is in the first few visible lines) https://www.wsj.com/articles/SB981508176687515426, Wall Street Journal (7 February 2001)
“If Perl is the solution, you're solving the wrong problem.”
Re: Q: on hashes and counting (Usenet article) http://groups.google.com/group/comp.lang.lisp/msg/ba0447f11766db41.
Usenet articles, Perl
World Design Science Decade 1965-1975 Phase I (1965), Document 3 : Comprehensive Thinking, "Venus Proximity Day", p. 33 http://challenge.bfi.org/sites/challenge.bfi.org/files/pdf_files/wdsd_phase1_doc3.pdf
1960s
Context: One of my working assumptions which has been proven successful so often as seemingly to qualify it as a reliable tenet is that A problem adequately stated is a problem solved theoretically and immediately, and therefore subsequently to be solved, realistically. Others have probably stated the principle in many ways. The assumption is that the inevitability of a solution's realization is inherent in the interaction of human intellect and the constantly transformative evolution of physical universe. 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.