A valid categorical syllogism must contain exactly three terms: major, minor and middle. If ambiguous language or faulty structure introduces a fourth distinct term, the necessary linkage between major and minor via a single middle term is broken. This defect is known as the fallacy of four terms. Therefore the error described in the stem is correctly named four terms.
Option A:
Option A, undistributed middle, is a different fallacy where the middle term is not distributed in either premise, so it never refers to all members of its class. Although this also breaks the connection between major and minor terms, it does not involve adding an extra term.
Option B:
Option B is correct because the presence of four distinct terms means that the argument cannot be a proper syllogism, which by definition has only three. Often this happens due to equivocation, where a word is used with two different meanings.
Option C:
Option C, illicit major, occurs when the major term is distributed in the conclusion but not in the premise, which is a distribution error, not an increase in the number of terms.
Option D:
Option D, ambiguous conclusion, is not a standard named fallacy in traditional syllogistic logic, and ambiguity alone does not guarantee that exactly four terms are present.
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