Jane is either a soccer fan or she is a basketball fan. Jane is not a basketball fan. Therefore, Jane is a soccer fan. This syllogism is:

Question

Quizplus · Accepted Answer

This is a valid deductive argument that follows the logical form of modus tollens. If A implies B, and B is false, then A must be false as well. In this case, "Jane is not a basketball fan" is the false statement, so the only remaining option is that "Jane is a soccer fan."

Jane Is Either a Soccer Fan or She Is a Basketball