Identity which rule is violated by the given categorical syllogism from the choices provided. All public servants are accountable to the public; All senators are public servants; Therefore, Some senators are accountable to the public. a. Rule no. 7 b. Rule no. 6 c. Rule no. 8 d. No rule is violated
Question
Identity which rule is violated by the given categorical syllogism from the choices provided. All public servants are accountable to the public; All senators are public servants; Therefore, Some senators are accountable to the public. a. Rule no. 7 b. Rule no. 6 c. Rule no. 8 d. No rule is violated
Solution
To identify which rule is violated by the given categorical syllogism, we need to analyze the statements and compare them to the rules of categorical syllogisms.
The given syllogism is as follows: All public servants are accountable to the public; All senators are public servants; Therefore, Some senators are accountable to the public.
To determine which rule is violated, let's examine the rules provided as choices:
a. Rule no. 7 b. Rule no. 6 c. Rule no. 8 d. No rule is violated
Now, let's compare the statements in the syllogism to the rules:
Rule no. 7 states that if the middle term is distributed in the conclusion, it must be distributed in the premises. In the given syllogism, the middle term is "public servants," and it is not distributed in either premise or the conclusion. Therefore, rule no. 7 is not violated.
Rule no. 6 states that if a term is distributed in the conclusion, it must be distributed in the premises. In the given syllogism, the term "senators" is distributed in the conclusion but not in the premises. Therefore, rule no. 6 is violated.
Rule no. 8 states that if a term is undistributed in the premises, it must be undistributed in the conclusion. In the given syllogism, the term "public" is undistributed in the first premise but distributed in the conclusion. Therefore, rule no. 8 is violated.
Based on the analysis, the correct answer is b. Rule no. 6 is violated by the given categorical syllogism.
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