We're going to have to lay off two of our nurses if the union won't agree to a general pay cut. Which means we're going to have to lay off two of our nurses, because the union won't agree to a general pay cut.
No
HINT: A Categorical Syllogism is a three-line argument that relies upon a Categorical Statement (E.g., All X are Y; Some X are Y; No X are Y). This argument contains no categorical statements.
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