unsolvabilities

Example:The challenge of predicting volcanic eruptions exactly due to the inherent unsolvabilities in the geological processes involved.

Definition:fundamental and intrinsic problems that cannot be addressed by current methods or knowledge.

Example:The four-color theorem involved mathematical unsolvabilities that were resolved through computer-assisted proofs.

Definition:mathematical problems or equations that cannot be solved using traditional methods.

Example:The researcher identified several unsolvabilities of the problem before determining a partial solution.

Definition:the obstacles or issues preventing the problem from being solved.