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{{Puzzles}}
'''Problem solving''' is the process of achieving a goal by overcoming obstacles, a frequent part of most activities. Problems in need of solutions range from simple personal tasks (e.g. how to turn on an appliance) to complex issues in business and technical fields. The former is an example of simple problem solving (SPS) addressing one issue, whereas the latter is complex problem solving (CPS) with multiple interrelated obstacles.<ref name="Complex Problem Solving">{{Cite book|date=2014-04-04|editor-last=Frensch|editor-first=Peter A.|editor2-last=Funke|editor2-first=Joachim|title=Complex Problem Solving|publisher=Psychology Press |doi=10.4324/9781315806723|isbn=978-1-315-80672-3}}</ref> Another classification of problem-solving tasks is into well-defined problems with specific obstacles and goals, and ill-defined problems in which the current situation is troublesome but it is not clear what kind of resolution to aim for.<ref name=":0" /> Similarly, one may distinguish formal or fact-based problems requiring [[G factor (psychometrics)|psychometric intelligence]], versus socio-emotional problems
Solutions require sufficient resources and knowledge to attain the goal. Professionals such as lawyers, doctors, programmers, and consultants are largely problem solvers for issues that require technical skills and knowledge beyond general competence. Many businesses have found profitable markets by recognizing a problem and creating a solution: the more widespread and inconvenient the problem, the greater the opportunity to develop a [[Scalability|scalable]] solution
There are many specialized problem-solving techniques and methods in fields such as [[engineering]], [[business]], [[medicine]], [[mathematics]], [[computer science]], [[philosophy]], and [[societies|social organization]]. The mental techniques to identify, analyze, and solve problems are studied in [[psychology]] and [[cognitive science]]s. Also widely researched are the mental obstacles that prevent people from finding solutions; problem-solving impediments include [[confirmation bias]], [[mental set]], and [[functional fixedness]].
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