Homework Answers
Solution: Construct the diagram and represent the first premise "Some factors of 6 are factors of 10" as shown below.
The orange circle represents factors of 10 , and the red circle
represents all represents factors of 6. Now
illustrate the second premise "All factors of 10 are factors of 70"
as shown in the next figure.
The set containing all factors of 70 contain all factors of 10 and
some factors of 6, as illustrated
in the diagram. Therefore, the argumet is valid, since the
conclusion "Some factors of 6 are factors of 10" necessarily
follows from the premises.
Answer: The syllogism is valid.
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4. When using Venn diagrams to determine whether or not a categorical syllogism is valid, why is it important to plot universal premises first?
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