Form a valid conclusion, using all the statements for each argument. Give reasons.
If you learn mathematics, then you are intelligent.
If you are intelligent, then you understand politics.

A) If you learn mathematics, then you understand politics. (transitive)
B) If you learn mathematics, then you understand politics. (indirect)
C) If you don't learn mathematics, then you don't understand politics. (direct)
D) If you don't learn mathematics, then you don't understand politics. (indirect)
E) none of these

Question

Form a valid conclusion, using all the statements for each argument. Give reasons. ​
If you learn mathematics, then you are intelligent.
If you are intelligent, then you understand politics.
​
A) If you learn mathematics, then you understand politics. (transitive)
B) If you learn mathematics, then you understand politics. (indirect)
C) If you don't learn mathematics, then you don't understand politics. (direct)
D) If you don't learn mathematics, then you don't understand politics. (indirect)
E) none of these

Quizplus · Accepted Answer

The conclusion in A is valid due to the transitive property: if A implies B (learning mathematics implies intelligence) and B implies C (intelligence implies understanding politics), then A implies C (learning mathematics implies understanding politics).

Form a Valid Conclusion, Using All the Statements for Each