Consider the following argument:
(A) Either sales or expenses will go up.
(B) If sales go up, then the boss will be happy.
(C) If expenses go up, then the boss will be unhappy.
(D) Therefore, sales and expenses will not both go up.
If someone is to apply strict mathematical logic, there would be two possibilities:
- If it is possible that the boss can be happy and unhappy at the same time, the argument will be invalid.
- If the boss cannot be happy and unhappy at the same time, the argument will be valid.
However, putting mathematics aside, the argument above doesn't make much sense to me anyway I look at it. My reasoning is that, sales/expenses and the boss' mood are independent variables. In other words, sales and expenses can go up or down regardless of the boss' mood.
So my question to you is, if we are to use common sense, is there anything wrong with the argument above? If there is, what exactly?