Insolvable

Insolvable describes a problem, puzzle, or issue that cannot be solved, explained, or resolved, given the available information, resources, or methods. It implies an inherent inability to find a solution, often due to complexity, ambiguity, lack of crucial data, or fundamental contradictions. The insolvability can relate to various fields like mathematics, philosophy, crime, or everyday practical situations. It signifies an impasse where efforts to find an answer are destined to fail. This lack of a viable solution can sometimes be frustrating, and may require alternative approaches or a shift in perspective. It often carries a negative connotation, representing the limitations of current knowledge or capabilities.

Insolvable meaning with examples

• The detective, after weeks of investigation, concluded that the case was insolvable; the crucial evidence was lost and witnesses provided conflicting accounts, leaving them with no clear leads.
• The equation, containing transcendental functions and no obvious algebraic manipulation, was deemed insolvable by the mathematicians who attempted for several days, as they had run out of ideas.
• Philosophers debated whether the question of free will versus determinism was insolvable, since the evidence supported both sides equally and the concepts are completely different.
• The city faced an insolvable traffic problem due to the rapid growth. Existing infrastructure proved insufficient, and no immediate solutions appeared feasible due to space restrictions.
• During the emergency, the doctors found the patient's condition insolvable. With the diagnosis uncertain, they had no way to reverse the effects of the unknown disease.