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No fish are mammals. Some mammals are not whales. Therefore, no fish are whales.

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Question: No fish are mammals. Some mammals are not whales. Therefore, no fish are whales. Is this conclusion valid?

Options:

  1. Yes
  2. No
  3. Only if all mammals are fish
  4. Only if some fish are mammals

Correct Answer: No

Solution: 

The conclusion is not valid. The premises do not provide enough information to conclude anything about the relationship between fish and whales.

No fish are mammals. Some mammals are not whales. Therefore, no fish are whales.

Practice Questions

Q1
No fish are mammals. Some mammals are not whales. Therefore, no fish are whales. Is this conclusion valid?
  1. Yes
  2. No
  3. Only if all mammals are fish
  4. Only if some fish are mammals

Questions & Step-by-Step Solutions

No fish are mammals. Some mammals are not whales. Therefore, no fish are whales. Is this conclusion valid?
  • Logical reasoning – Understanding the relationships between different categories (fish, mammals, whales) and how premises lead to conclusions.
  • Syllogism – Analyzing the structure of arguments to determine validity based on given premises.
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