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All cats are mammals. Some mammals are not dogs. Therefore, some cats are not do

Practice Questions

Q1
All cats are mammals. Some mammals are not dogs. Therefore, some cats are not dogs. Is this conclusion valid?
  1. Yes
  2. No
  3. Cannot be determined
  4. Only if all mammals are cats

Questions & Step-by-Step Solutions

All cats are mammals. Some mammals are not dogs. Therefore, some cats are not dogs. Is this conclusion valid?
  • Logical Deduction – The ability to draw conclusions based on given premises.
  • Syllogism – A form of reasoning in which a conclusion is drawn from two given or assumed propositions (premises).
  • Categorical Logic – Understanding relationships between categories (e.g., all, some) in logical statements.
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