Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning.
All mathematicians are clever men.
All clever men are rich.
Therefore, all mathematicians are rich.

A) invalid; direct
B) valid; indirect
C) valid; direct
D) invalid; false chain
E) valid; transitive

Question

Determine whether the argument in the problem below is valid or invalid. If valid, name the type of reasoning and if invalid, determine the error in reasoning. ​
All mathematicians are clever men.
All clever men are rich.
Therefore, all mathematicians are rich.
​
A) invalid; direct
B) valid; indirect
C) valid; direct
D) invalid; false chain
E) valid; transitive

Quizplus · Accepted Answer

The argument is valid and uses transitive reasoning. If all mathematicians are clever men, and all clever men are rich, then logically, all mathematicians are rich. This follows the transitive property where if A=B and B=C, then A=C.

Determine Whether the Argument in the Problem Below Is Valid