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No birds are mammals. All sparrows are birds. Therefore, no sparrows are mammals

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Question: No birds are mammals. All sparrows are birds. Therefore, no sparrows are mammals. (2023)

Options:

  1. True
  2. False
  3. Cannot be determined
  4. None of the above

Correct Answer: True

Exam Year: 2023

Solution:

The conclusion is valid based on the premises.

No birds are mammals. All sparrows are birds. Therefore, no sparrows are mammals

Practice Questions

Q1
No birds are mammals. All sparrows are birds. Therefore, no sparrows are mammals. (2023)
  1. True
  2. False
  3. Cannot be determined
  4. None of the above

Questions & Step-by-Step Solutions

No birds are mammals. All sparrows are birds. Therefore, no sparrows are mammals. (2023)
  • Step 1: Understand the first premise: 'No birds are mammals.' This means that if something is a bird, it cannot be a mammal.
  • Step 2: Understand the second premise: 'All sparrows are birds.' This means that every sparrow is included in the group of birds.
  • Step 3: Combine the two premises: Since all sparrows are birds and no birds are mammals, it follows that sparrows cannot be mammals.
  • Step 4: Draw the conclusion: Therefore, 'no sparrows are mammals' is a valid conclusion based on the given premises.
  • Logical Deduction – The ability to draw valid conclusions from given premises.
  • Syllogism – A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).
  • Categorical Logic – The study of how categories relate to one another in logical arguments.
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