The Unsolvable Problem of Which We Know Not the Question

A committee so confuddled, it's a wonder they haven't imploded yet.

What is the question, anyway? What Question to Ask When We Can't Even

Subcommittee of the Utterly Confounded:

A group of esteemed scholars who have given up on the problem, but are too proud to admit it.

The Unresolved Issue of Unresolved Issues:

A never-ending list of problems that just keep piling up.