## Thinking Mathematically (6th Edition)

Use letters to represent each simple statement in the argument. p: There is a dam. q:There is flooding. Express the premises and conclusion symbolically as \frac{\begin{align} & p\vee q \\ & q \\ \end{align}}{\therefore \sim p}\ \ \ \ \ \ \frac{\begin{align} & \text{There must be a dam or there is flooding}\text{.} \\ & \text{This year there is flooding}\text{.} \\ \end{align}}{\therefore \text{This year there is no dam}\text{.}} The argument is in the form of “misuse of disjunctive reasoning.” So, the argument is invalid.