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PART a Some Entertainers Are Not Magicians, for Some Comedians

Question 57

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PART A Some entertainers are not magicians, for some comedians are not magicians and some magicians that are not comedians are entertainers.
Which of the following correctly expresses the form of this argument? a. Some C are not MSome M are E. Some E are not M \begin{array} { l } \text {Some \( \mathrm{C} \) are not \( \mathrm{M} \)}\\ \text {Some M are E. }\\ \hline\text {Some \( E \) are not \( M \) }\\\end{array}\quad b. Some M that are not C are E Some E are not M.  Some C are not M.\begin{array} { l } \text {Some \( M \) that are not \( \mathrm{C} \) are \( \mathrm{E} \). }\\ \text { Some E are not M. }\\ \hline\text { Some \( \mathrm{C} \) are not \( \mathrm{M} \).}\\\end{array}

c. Some C are not MSome M that are not C are E Some E are not M. \begin{array} { l } \text {Some \( \mathrm{C} \) are not \( \mathrm{M} \). }\\ \text {Some M that are not C are \( \mathrm{E} \). }\\ \hline\text { Some E are not M. }\\\end{array}\quad d. Some E are not MSome C are not M.  Some M that are not C are E.\begin{array} { l } \text {Some \( E \) are not \( \mathrm{M} \). }\\ \text {Some C are not M. }\\ \hline\text { Some M that are not \( \mathrm{C} \) are \( \mathrm{E} \).}\\\end{array}

e. Some E are not M.  Some C are not M. All M that are not C are E\begin{array} { l } \text {Some E are not M. }\\ \text { Some C are not M. }\\ \text {All M that are not C are \( \mathrm{E} \). }\\\end{array} PART B
Which of the following substitutions proves the argument invalid?
A) M = mammals, C = animals, E = dogs.
B) M = cats, C = trees, E = animals.
C) M = mammals, C = cats, E = animals.
D) M = animals, C = trees, E = cats.
E) M = fish, C = dogs, E = mammals.

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