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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. [1] 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 ...
Analogical reasoning plays a central role in problem-solving, decision-making, and learning. It can be used both for simple physical characteristics and complex abstract ideas. [92] [93] In science, analogies are often used in models to understand complex phenomena in a simple way.
Lateral thinking is a manner of solving problems using an indirect and creative approach via reasoning that is not immediately obvious. Synonymous to thinking outside the box, it involves ideas that may not be obtainable using only traditional step-by-step logic. [1] The cutting of the Gordian Knot is a classical example.
An issue tree showing how a company can increase profitability: A profitability tree is an example of an issue tree. It looks at different ways in which a company can increase its profitability. Starting from the key question on the left, it breaks it down between revenues and costs, and break these down into further details.
Case-based reasoning – Process of solving new problems based on the solutions of similar past problems Critical thinking – Analysis of facts to form a judgment Defeasible reasoning – Reasoning that is rationally compelling, though not deductively valid – from authority: if p then (defeasibly) q
Although reasoning systems widely support deductive inference, some systems employ abductive, inductive, defeasible and other types of reasoning. Heuristics may also be employed to determine acceptable solutions to intractable problems. Reasoning systems may employ the closed world assumption (CWA) or open world assumption (OWA).
Case-based reasoning (CBR), broadly construed, is the process of solving new problems based on the solutions of similar past problems. [ 1 ] [ 2 ] In everyday life, an auto mechanic who fixes an engine by recalling another car that exhibited similar symptoms is using case-based reasoning.
For example, a problem-solving approach that works in one domain may be applied to a new, similar problem in a different domain. Analogical reasoning is particularly useful in scientific discovery and problem-solving tasks, as it can help generate hypotheses, create new theories, and develop innovative solutions. [ 31 ]