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Chapter 3: Problem 1

Use Euler diagrams to determine whether each argument is valid or invalid. All writers appreciate language. All poets are writers. Therefore, all poets appreciate language.

Short Answer

Expert verified
The argument 'All writers appreciate language, all poets are writers, therefore all poets appreciate language' is valid.

Step by step solution

01

- Understanding the Terms

Identify the terms involved in the argument: 'writers', 'appreciate language' and 'poets'. 'Writers' is the middle term, 'appreciate language' is the predicate and 'poets' is the subject.
02

- Drawing the Euler Diagrams for the Premises

Draw a circle to represent 'writers', then within that circle, draw another circle to represent 'appreciate language' to depict the first premise 'All writers appreciate language'. Further inside the 'writers' circle, draw a third circle to represent 'poets' for the second premise 'All poets are writers'. The resulting diagram shows that all poets, being inside the circle of writers, also appreciate language.
03

- Validating the Conclusion

Analyze the diagram. If all poets are within the circle of 'writers' who 'appreciate language', it means that all poets do appreciate language, logically validating the conclusion 'All poets appreciate language'.

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