Question

7. Say whether the following pairs of sentences are equivalent. a. Every Marxist is a socialist....

7. Say whether the following pairs of sentences are equivalent.

a. Every Marxist is a socialist. Every socialist is a Marxist.

b. No capitalist is a generous person. No generous persons are capitalists.

c. Some leaders are not imitable. Some imitable people are not leaders.

d. No judges are unjust. All who are just are not judges.

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Answer #1

a. Every Marxist is a socialist. Every socialist is a Marxist.
No. If every marxist is socialist it does not mean that all socialist are also Marxist.

b. No capitalist is a generous person. No generous persons are capitalists.
Yes. If no capitalist is generous it also means that no generous person would be a capitalist.

c. Some leaders are not imitable. Some imitable people are not leaders.
No. If some leaders are not imitable, t it cannot be concluded that some of the imitable people are not leaders.

d. No judges are unjust. All who are just are not judges.
No. No judges are unjust means that all judges are just. This is contradictory to the second statement that all who are just are not judges.

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