impossibility
n. C / Un. something that cannot happen or be done because it is not possible. You use this word to describe a situation that has no solution.
n. the state or fact of being unable to occur, exist, or be achieved. Often used to describe a logical or physical contradiction.
Traveling faster than the speed of light is a physical impossibility.
The team realized that finishing the entire project by tomorrow morning was a mathematical impossibility.
The philosopher argued that the coexistence of these two opposing laws was a logical impossibility within a single legal framework.
From Middle French impossibilité, from Latin impossibilitās. By surface analysis, im- + possibility and impossible + -ity.
Often follows the indefinite article 'an' when referring to a specific impossible task or situation.