Unsolvable

Unsolvable describes a problem, puzzle, or equation that cannot be solved or answered, typically due to a lack of sufficient information, inherent contradictions, or limitations in the applied methods. The term implies an insurmountable barrier to finding a solution, whether it be mathematical, logical, or practical. It signifies a state of irresolvability, suggesting that no amount of effort or ingenuity can overcome the underlying constraints preventing a definitive answer or outcome. The unsolvability can arise from various sources, including fundamental physical laws, incompleteness theorems, or the intrinsic complexities of the system in question.

Unsolvable meaning with examples

• The quest to find a perpetual motion machine, despite countless attempts, remains unsolvable due to the fundamental laws of thermodynamics. Each design, no matter how innovative, violates the principles of energy conservation. Therefore, perpetual motion remains firmly in the realm of theoretical fantasy, its practical realization impossible.
• The detective faced an unsolvable crime when the only witness gave contradictory statements and vital evidence vanished. Every avenue of investigation led to dead ends, with no concrete leads to pursue. The mystery deepened further, making any chance of solving the case slim, ultimately becoming a lost cause.
• Certain philosophical debates, such as proving or disproving the existence of God, often seem unsolvable because they involve concepts that are inherently subjective and beyond the realm of empirical verification. The nature of belief renders any definitive answer beyond human capacity.
• For many years, the complex mathematical equation describing the movement of three celestial bodies was deemed unsolvable in closed form. Scientists were unable to find an explicit solution, leading to the use of approximations and numerical methods to understand the problem.