Just to clarify the remaining White Sox/Twins scenarios:
If both either win or lose today then Chicago will play Detroit tomorrow, a win will result in a single game playoff on Tuesday.
If Chicago loses today and Minnesota wins then the Twins will win the American League Central and face the Rays in the ALDS.
If Chicago wins today and Minnesota loses and the White Sox win tomorrow then the White Sox will win the American League Central and face the Rays in the ALDS.