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In elementary algebra, when solving equations, it is guess and check. This approach can be seen as one of the two basic approaches to problem-solving, contrasted with an approach using insight and theory. However, there are intermediate methods which for example, use theory to guide the method, an approach known as guided empiricism.
This article covers computer software designed to solve, or assist people in creating or solving, chess problems – puzzles in which pieces are laid out as in a game of chess, and may at times be based upon real games of chess that have been played and recorded, but whose aim is to challenge the problemist to find a solution to the posed situation, within the rules of chess, rather than to ...
A physical symbol system (also called a formal system) takes physical patterns (symbols), combining them into structures (expressions) and manipulating them (using processes) to produce new expressions. The physical symbol system hypothesis ( PSSH) is a position in the philosophy of artificial intelligence formulated by Allen Newell and Herbert ...
Word problem for groups. In mathematics, especially in the area of abstract algebra known as combinatorial group theory, the word problem for a finitely generated group is the algorithmic problem of deciding whether two words in the generators represent the same element. The word problem is a well-known example of an undecidable problem .
Social problem-solving, in its most basic form, is defined as problem solving as it occurs in the natural environment. [1] More specifically it refers to the cognitive-behavioral process in which one works to find adaptive ways of coping with everyday situations that are considered problematic. This process in self-directed, conscious ...
Tic-tac-toe (American English), noughts and crosses (Commonwealth English), or Xs and Os (Canadian or Irish English) is a paper-and-pencil game for two players who take turns marking the spaces in a three-by-three grid with X or O.
Wicked problem. In planning and policy, a wicked problem is a problem that is difficult or impossible to solve because of incomplete, contradictory, and changing requirements that are often difficult to recognize. It refers to an idea or problem that cannot be fixed, where there is no single solution to the problem; and "wicked" denotes ...
Recognizing patterns, analyzing ideas, synthesizing information, solving problems, and creating things all involve abstract thinking. The ability to think abstractly develops as we mature, and we ...
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