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This problem asks to assess the validity of an argument using Euler diagrams. Here's the argument presented:

1. **All elephants are large animals.**
2. **A whale is a large animal.**
3. **Conclusion: So, a whale is an elephant.**

### Step-by-Step Analysis with Euler Diagrams:

- **First Statement: "All elephants are large animals."**
  - This means that the set of all elephants is a subset of the set of large animals. In an Euler diagram, this can be represented as a circle for "elephants" being fully inside a larger circle for "large animals."

- **Second Statement: "A whale is a large animal."**
  - This tells us that whales belong to the set of large animals, but it doesn’t specify that whales belong to the subset of elephants. In the Euler diagram, the term "whale" would be a point or small circle inside the "large animals" circle, but not necessarily inside the "elephants" circle.

- **Conclusion: "A whale is an elephant."**
  - The argument is making an invalid inference. Just because both elephants and whales are part of the set of large animals, it does not mean that whales are elephants. The Euler diagram clearly shows that while both elephants and whales are large animals, they can be separate categories within that set.

### Diagram Description:

1. A large circle representing "large animals."
2. A smaller circle inside it representing "elephants."
3. A separate point or circle inside the "large animals" circle representing "whales."

The diagram would show that while whales and elephants both belong to the set of large animals, they are distinct from each other. Therefore, the conclusion is **invalid**.

Would you like further details or clarification?

Here are 5 related questions to deepen your understanding:
1. How do Euler diagrams differ from Venn diagrams in logic?
2. Can Euler diagrams be used to prove the validity of any argument?
3. What makes an argument valid or invalid in logical terms?
4. How would this argument change if "whale" and "elephant" sets overlapped?
5. Are there any real-world applications where Euler diagrams are used?

**Tip:** Always double-check if the conclusion logically follows from the premises, especially when dealing with subsets and intersections!

Use Euler diagram(s) to determine the validity of the following argument which involves quantifiers:
- All elephants are large animals.
- A whale is a large animal.
- So, a whale is an elephant.

Analyze a logical argument using Euler diagrams to determine the validity of a statement involving elephants, whales, and large animals. This problem addresses logical concepts and set theory, suitable for high school students.

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