Two negative premises, such as "No A is B" and "No B is C", yield
Correct answer: C. no valid conclusion
- A. the conclusion that no A is C
- B. the conclusion that all A are C
- C. no valid conclusion
- D. the conclusion that some A are C
Explanation
Nothing links A and C when both premises merely exclude, so A and C might overlap completely, partly or not at all. This is one of the standard rules of the syllogism: from two negatives nothing follows. It is a common trap because the pattern looks like a chain.
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About Syllogisms
Syllogisms use categorical statements such as all, some and no to establish relationships between groups. Questions require checking whether conclusions necessarily follow from the premises, often by mental set relationships or Venn diagrams, and distinguishing valid deductions from conclusions that are merely possible.
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