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The argument presented is:

1. All elephants are large animals.
2. A whale is a large animal.
3. Therefore, a whale is an elephant.

To analyze the validity of this argument using **Euler diagrams**, we will draw sets representing categories such as "elephants," "large animals," and "whales."

### Step-by-step explanation with Euler diagrams:
- **Step 1:** Draw a circle representing the set of all "large animals."
- **Step 2:** Inside the "large animals" circle, draw a smaller circle for "elephants," since all elephants are large animals (this is true by the given premise).
- **Step 3:** Add a circle for "whales" that is also inside the "large animals" circle because whales are large animals too (again, true by the second premise). However, this circle is **separate** from the "elephants" circle because nothing suggests that all large animals must be elephants.

### Conclusion:
The diagram shows that both "elephants" and "whales" are subsets of the "large animals" category, but **they are distinct from each other**. Therefore, the conclusion "a whale is an elephant" does **not follow** from the premises. This argument is **invalid** because being a member of the "large animals" set does not imply that all large animals are elephants.

Would you like to see a visual representation of the Euler diagram or have further details?

Here are 5 related questions to consider:
1. Can an Euler diagram represent every kind of logical argument?
2. How do Euler diagrams differ from Venn diagrams in logic?
3. Are there any cases where the conclusion "a whale is an elephant" would be valid?
4. What other logical fallacies could be involved in this type of reasoning?
5. How can Euler diagrams help clarify statements involving quantifiers?

**Tip:** When working with logical arguments involving categories, always check if a subset relationship exists between the groups mentioned. This will help you avoid invalid conclusions.

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 the validity of an argument using Euler diagrams with quantifiers. This exercise covers key concepts in logic and set theory, demonstrating how to visually represent subsets and understand logical relationships.

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