## Thinking Mathematically (6th Edition)

Use letters to represent each simple statement in the argument. p: Argument is in the form of the fallacy of the inverse. q:Argument is invalid. Express the premises and conclusion symbolically as: \frac{\begin{align} & p\to q \\ & q \\ \end{align}}{\therefore p}\ \ \ \ \ \ \frac{\begin{align} & \text{If an argument is in the form of the fallacy of the inverse, then it is invalid}\text{.} \\ & \text{This argument is invalid}\text{.} \\ \end{align}}{\therefore \text{This argument is in the form of the fallacy of the inverse}\text{.}} The argument is in the form of Fallacy of the Converse. So, the argument is invalid.