Definition

Adjective: 1. Not capable of being resolved or settled: Describes a situation, problem, or conflict for which no solution, answer, or agreement can be found. 2. Not easily solved; extremely difficult to clear up: Describes a state of confusion, a puzzle, or a dilemma that appears to have no clear or satisfactory resolution.

Usage

The adjective unresolvable is used to describe abstract concepts like problems, conflicts, disputes, or questions. It emphasizes the inherent or perceived impossibility of finding an answer or a way forward. It is a formal term often used in academic, technical, or philosophical contexts.

Examples

• The philosophical debate about free will versus determinism may be an unresolvable question.
• The two parties had unresolvable differences, leading to the dissolution of their partnership.
• The detective faced an unresolvable mystery, with all logical leads exhausted.
• There was an unresolvable conflict between the new evidence and the established theory.

Advanced Usage

• In Logic and Mathematics: Can describe a paradox or a problem that is proven to be undecidable or unsolvable within a given system.
  • Gödel's incompleteness theorems showed that within any consistent formal system, there exist unresolvable statements.
• In Computing: May refer to a state where a system error or a dependency conflict cannot be fixed.
  • The software installation failed due to an unresolvable library conflict.

Variants and Related Words

• Irresolvable: A less common variant with the same meaning as "unresolvable."
• Insolvable: Often used interchangeably with "unsolvable," particularly for problems or puzzles. (e.g., "an apparently insolvable problem").
• Unsolvable: A more common synonym, frequently used for problems, equations, or mysteries. It strongly implies that no solution exists.
• Intractable: Describes a very difficult problem that is hard to manage or control, but not necessarily completely without a potential solution.
• Irreconcilable: Often used for differences, conflicts, or viewpoints that cannot be made compatible or harmonious.

Synonyms

• Insolvable
• Unsolvable
• Insoluble
• Inexplicable
• Baffling
• Hopeless (informal, in context)

Antonyms

• Resolvable
• Solvable
• Answerable
• Explainable
• Decidable

Related Phrases and Idioms

• An unresolvable dilemma: A situation requiring a choice between two equally unsatisfactory alternatives, with no clear or good solution.
  • The ethical case presented an unresolvable dilemma for the medical team.
• To reach an unresolvable impasse: To arrive at a point in a negotiation or discussion where no further progress is possible.
  • The peace talks reached an unresolvable impasse over the border issue.

Adjective

1. not capable of being resolved
   • unresolvable confusion
2. not easily solved
   • an apparantly insolvable problem
   • public finance...had long presented problems unsolvable or at least unsolved- C.L.Jones