Chapter 6, Level 1 Self Quiz: GIII

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. The following argument needs to be translated and rewritten into standard form. Use the tools discussed in this section to reduce the number of terms.
All self-motivated students are using their intellectual capabilities. But no disinterested students are using their intellectual capabilities. Therefore, all self-motivated students are interested students.
Let S = self-motivated students, I = students using their intellectual capabilities, D = disinterested students, non-D = interested students.

All I are S.   All S are I.
No D are I.   Rewritten as:   No D are I.
All S are non-D.   No S are D. correct incorrect

All S are I.   All S are I.
No D are I.   Rewritten as:   No D are I.
All S are non-D.   No S are D. correct incorrect

All S are I.   All S are I.
No I are D.   Rewritten as:   No D are I.
All S are non-D.   No non-S are D. correct incorrect

All S are I.   All S are I. No D are I.   Rewritten as:   No D are I.
All S are non-D.   No S are D. correct incorrect

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. Use a Venn diagram and the six rules to determine whether the syllogism is valid or invalid under the modern interpretation.
All self-motivated students are using their intellectual capabilities. But no disinterested students are using their intellectual capabilities. Therefore, all self-motivated students are interested students.
Let S = self-motivated students, I = students using their intellectual capabilities, D = disinterested students, non-D = interested students.

Valid correct incorrect

Invalid correct incorrect

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. The following argument needs to be translated and rewritten into standard form. Use the tools discussed in this section to reduce the number of terms.
Some preschool children are severely overweight. Some obese students are susceptible to diabetes. Therefore, some preschool children are not susceptible to diabetes.
Let P = pre-school children, S = severely overweight students, O = obese students, and D = people susceptible to diabetes

Some P are S.   Some P are S.
Some O are D.   Rewritten as:   Some S are D.
Some P are not D.   Some P are not D. correct incorrect

Some S are P.   Some P are S.
Some O are D.   Rewritten as:   Some S are D.
Some P are D.   Some P are not D. correct incorrect

Some P are S.   Some P are S.
Some O are D.   Rewritten as:   Some S are D.
Some P are D.   Some P are not D. correct incorrect

Some P are S.   Some P are S.
Some O are not D.   Rewritten as:   Some S are D.
Some P are not D.   Some P are D. correct incorrect

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. Use a Venn diagram and the six rules to determine whether the syllogism is valid or invalid under the modern interpretation.
Some preschool children are severely overweight. Some obese students are susceptible to diabetes. Therefore, some preschool children are not susceptible to diabetes.
Let P = pre-school children, S = severely overweight students, O = obese students, and D = people susceptible to diabetes

Valid correct incorrect

Invalid correct incorrect