insolvable
Insovable is an adjective used to describe something that cannot be solved. In mathematics, logic, and related disciplines, an insolvable question or problem is one for which no solution procedure exists within a given formal system or under applicable rules. The term is often synonymous with unsolvable, though insolvable is less common in contemporary English and may appear mainly in older texts or specific contexts.
Etymology: insolvable comes from the prefix in- meaning not and solvable from Latin solvāre, “to loosen” or
Contexts include mathematical problems that cannot be decided algorithmically, such as the Halting problem, and logical
Usage notes: insolvable tends to be replaced by unsolvable in modern prose. In technical writing, the distinction