The Alternative Syllogism Fallacy occurs when one of two choices is true, and it is known that one of those choices is true, so it is concluded that the other choice is false. There is not enough information to declare the second choice to be false. Perhaps both choices are true. INVALID FORM "Either S or P. P. Therefore, not S."
Sandy: “One of these is true: there is an all-powerful, all-wise, all-good God or there is suffering. There is suffering. Therefore, there is not an all-powerful, all-wise, all-good God,”
Rocky: “That's known as the alternative syllogism fallacy. Your logic fails because not only is one of those options true but both of them are also true.”