Which of the following statements is logically equivalent to the statement — “No frogs are mammals”?  

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UGC NET Paper 1: Held on 28th Feb 2023 Shift 2
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  1. No mammals are frogs.
  2. All non-mammals are non-frogs.
  3. Some non-mammals are not non-frogs. 
  4. Some mammals are non-frogs. 

Answer (Detailed Solution Below)

Option 1 : No mammals are frogs.
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UGC NET Paper 1: Held on 21st August 2024 Shift 1
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50 Questions 100 Marks 60 Mins

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No mammals are frogs- this statements is logically equivalent to the statement — “No frogs are mammals”

Important Points

No mammals are frogs- this statements is logically equivalent to the statement — “No frogs are mammals”

  • This is because both statements express the same idea that there is no overlap between the categories of frogs and mammals.
  • In other words, it is saying that there are no mammals that are also frogs, and there are no frogs that are also mammals.
  • This is equivalent to saying "No frogs are mammals" as well as "No mammals are frogs." 
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