irresolvable

The math problem remained irresolvable for the students.

Definition

1. Adjective:
   • Not able to be resolved: "irresolvable" describes a problem, conflict, or situation that cannot be solved, settled, or brought to a satisfactory conclusion.
   • Not able to be separated into constituent parts: In a more technical or philosophical sense, "irresolvable" means that something cannot be broken down or analyzed into simpler elements.

Usage Examples

• As a problem or conflict:

  • The dispute between the two neighbors seemed irresolvable, as neither would compromise. (The conflict could not be settled.)
  • The team faced an irresolvable technical issue with the software. (The problem could not be fixed.)

• As a philosophical or analytical concept:

  • The philosopher argued that the question of free will is irresolvable by logic alone. (The question cannot be definitively answered.)
  • The chemical compound was considered irresolvable into its elements at that time. (It could not be separated.)

Advanced Usage

• "irresolvable dilemma": a situation where no satisfactory solution exists.

  • The ethical dilemma was irresolvable, leaving the doctor with no good choice. (The dilemma had no clear answer.)

• "irresolvable tension": a state of persistent conflict or strain that cannot be eased.

  • There was an irresolvable tension between the two political parties. (The conflict could not be resolved.)

Variants and Related Words

• Irresolvably (adv): in a manner that cannot be resolved.

  • The two theories are irresolvably opposed. (They cannot be reconciled.)

• Irresolvability (n): the quality of being impossible to resolve.

  • The irresolvability of the dispute frustrated all parties involved. (The impossibility of resolution was frustrating.)

Synonyms

• Unsolvable: cannot be solved.
  • This math problem is unsolvable. (It has no solution.)
• Insoluble: cannot be dissolved or solved.
  • The mystery remained insoluble. (It could not be figured out.)
• Irreconcilable: cannot be brought into agreement.
  • Their differences were irreconcilable. (They could not be settled.)

Antonyms

• Resolvable: able to be solved or settled.
  • The issue was resolvable through dialogue. (It could be fixed.)

Related Idioms

• At an impasse: a situation where no progress is possible.

  • The negotiations were at an impasse, making the conflict seem irresolvable. (Stuck with no way forward.)

• A dead end: a situation with no hope of progress.

  • The investigation hit a dead end, leaving the case irresolvable. (No further progress could be made.)