insolvability
Definition
- Noun:
- Inability to be solved: "insolvability" refers to the quality or state of a problem, puzzle, or mathematical equation that cannot be resolved, solved, or given a solution.
- Inability to be explained: It can also mean the quality of being impossible to explain or clarify.
Usage Examples
- (The riddle could not be solved despite many attempts.)
- (The equation could not be solved by any known method.)
- (The mystery could not be explained or resolved.)
Advanced Usage
"proved insolvability": a formal demonstration that a problem cannot be solved.
- In 1970, the mathematician proved the insolvability of the general quintic equation. (He showed that no general algebraic solution exists.)
"insolvability in principle": the concept that a problem is unsolvable by its very nature, not just due to lack of effort.
- Some philosophical questions have insolvability in principle, as they transcend empirical evidence. (They cannot be answered by any method.)
Variants and Related Words
Insolvable (adj): not capable of being solved or explained.
- The puzzle was deemed insolvable after years of failed attempts. (It could not be solved.)
Solvability (n): the quality of being solvable (opposite of insolvability).
- The solvability of the equation was confirmed by the mathematician. (It could be solved.)
Synonyms
Unsolvability: the state of being impossible to solve.
- The unsolvability of the problem was acknowledged by all experts. (It could not be solved.)
Inexplicability: the quality of being impossible to explain.
- The inexplicability of the phenomenon baffled scientists. (It could not be explained.)
Related Idioms
A dead end: a situation with no possible solution or progress.
- The investigation reached a dead end, highlighting the insolvability of the case. (No further progress could be made.)
Beyond solution: impossible to resolve.
- The conflict was beyond solution, demonstrating its insolvability. (It could not be resolved.)