Question
Download Solution PDFWhich of the following statements are logically equivalent?
A. No tigers are non-mammals.
B. No mammals are tigers.
C. All non-mammals are non-tigers.
D. All tigers are mammals.
Choose the correct answer from the options given below:
Answer (Detailed Solution Below)
Detailed Solution
Download Solution PDFThe correct answer is A, C and D only.Key PointsThe given options A, C, and D are logically equivalent.
- A. "No tigers are non-mammals." means that every tiger is a mammal. If a creature is a tiger, it must be a mammal; it cannot be a non-mammal.
- C. "All non-mammals are non-tigers." also means that no tigers can be non-mammals. If a creature is a non-mammal, it cannot be a tiger.
- D. "All tigers are mammals." is pretty straightforward and exactly means what it says, every tiger is a mammal.
These three statements (A, C, and D) are equivalent as they all are saying that tigers can only be mammals and nothing that isn't a mammal can be a tiger.
Additional Information
On the other hand, statement B, "No mammals are tigers." is not equivalent to the others as it implies that there are no tigers that are mammals, which contradicts the other statements.
So the correct answer is indeed A, C, and D.
Last updated on Jun 19, 2025
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