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Statement: All cats are mammals. Argument: Therefore, some mammals are cats.

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Question: Statement: All cats are mammals. Argument: Therefore, some mammals are cats.

Options:

  1. The argument is valid.
  2. The argument is invalid.
  3. The argument is irrelevant.
  4. The argument is a tautology.

Correct Answer: The argument is valid.

Solution: 

The argument is valid because if all cats are mammals, it logically follows that some mammals are indeed cats.

Statement: All cats are mammals. Argument: Therefore, some mammals are cats.

Practice Questions

Q1
Statement: All cats are mammals. Argument: Therefore, some mammals are cats.
  1. The argument is valid.
  2. The argument is invalid.
  3. The argument is irrelevant.
  4. The argument is a tautology.

Questions & Step-by-Step Solutions

Statement: All cats are mammals. Argument: Therefore, some mammals are cats.
  • Logical Deduction – The ability to derive conclusions from premises using valid reasoning.
  • Universal vs. Particular Statements – Understanding the difference between statements that apply to all members of a category versus some members.
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