![]() They are radially structured, with some members more central than others. Categories and concepts, according to this theory, are probabilistic rather than definitional in nature. Prototype theory was developed as an alternative to the classical theory. ![]() Protracted disagreements over definitions led to dissatisfaction with classical theory in philosophical circles, and the theory also failed to explain new empirical results in psychology. However, the classical theory came to be seen as increasingly insufficient during the 20 th century. ![]() For example, a triangle may be defined as a "three-sided polygon" where a shape is a triangle if and only if it satisfies the condition of being both a polygon and being three-sided. That is, concept x is composed of simpler concepts that describe necessary and sufficient conditions for being a member of x. The classical theory of concepts views concept formation as definitional.
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