counterproblem

From counter- +‎ problem.

counterproblem (plural counterproblems)

1. A problem formulated in opposition to another problem.
   • 2006, William E. Mann, Augustine's Confessions, page 229:

     He raises the "Why not sooner?" question as an extrapolation from one of Proclus' arguments. He answers it by posing a counterproblem: the problem of how there could have been an infinity of days.