Fuzzy math

Unofficially, the White Sox have been eliminated since they tanked on a critical road trip to Boston, New York and Minnesota this weekend.
Officially, let's take a closer look.
The Sox are 73-80. If they win out (insert punchline here), they finish 82-80.
The Tigers were 81-70 heading into Tuesday night's game at Cleveland (the game was tied at 2 in the fourth inning). Let's say they lose and fall to 81-71.
Then, Detroit loses its remaining 10 games and finishes the season at 81-81.
The White Sox finish with the better record, but they still have the second-place Twins to deal with.
The Twins are 79-73, and they have four games against the Tigers next week.
As several readers/mathematicians informed me, Minnesota winning one game to get to 80 and Detroit already having 81 would mean that either the Tigers or the Twins are guaranteed 83 wins, and the White Sox can only reach 82 if they win out.
That is way too much math for me, but hope that makes sense.
Not that it really matters, because the Sox have long been playing like a team that lost interest in the playoffs.