The phrase "insoluble problem" means a problem or situation that cannot be solved or resolved. It refers to something that is difficult, complicated, or complex, with no clear solutions or answers available. Full definition
On the other hand, he noted, it provided a perfect answer for the seemingly insoluble problem of why a good God should permit evil in his creation. (religion-online.org)
However, the new work shows that a quantum computer can solve insoluble problems even if it is travelling along «open timelike curves,» which don't create causality problems. (sciencedaily.com)
Men and women have been reintegrated into society, human relationships have been vastly improved and a host of hitherto insoluble problems have been successfully dealt with by skilled psychological methods. (religion-online.org)