Final answer:
Categorization is often a matter of degree, not an all-or-none process. Categories constantly add new members, and similarity is often subjective. A rigid definition is unlikely to be accepted by everyone.
Step-by-step explanation:
Categorization is often a matter of degree, not an all-or-none process. Categories constantly add new members, and similarity is often subjective. A rigid definition is unlikely to be accepted by everyone.
One reason why a rigid definition for a category is not possible is that categorization is very often a matter of degree, not an all-or-none process. For example, when classifying organisms, there are many different characteristics to consider, such as size, shape, color, and behavior. Some organisms may have certain characteristics that fall within a category, but not others. This makes categorization a subjective process and difficult to define rigidly.
Furthermore, categories constantly add new members as new discoveries are made. For instance, in the field of science, new species are continuously being discovered and classified. This means that any definition for a category would need to be constantly updated and modified to include these new members. Additionally, similarity is often subjective. What may appear similar to one person may not be considered similar to another. Therefore, a rigid definition that is universally accepted is unlikely.
In conclusion, a rigid definition for a category is not possible because categorization is a matter of degree, categories constantly add new members, similarity is subjective, and a rigid definition is unlikely to be accepted by everyone.