There are a few stance to this.
1. Thats a technical problem mostly, not a physical limitation.
(One can start with the assumptions that is possible, derive some results and then see how the Big picture leads to the resolution of initial problem.
2. Its not technical since if the mathematics fail, physics fails too the 2 cannot be separated.
3. Its a conformist's view. Established science says it is true and people stick to the established viewpoints in fear of tracing a new path.
Which one do you endorse?