Definition

1. Noun:
   • The quality or state of being solvable: The property of a problem, equation, or difficulty that makes it possible to find a solution or resolution.

Usage

• Solvability is an abstract noun used to describe the inherent characteristic of a challenge that allows it to be solved. It is often discussed in academic, scientific, and technical contexts.
• It is typically used with verbs like , , , or .
• Common collocations include: , , .

Examples

• The mathematician published a paper on the solvability of quintic equations.
• Before investing more resources, the team needed to assess the solvability of the technical issue.
• A key factor in the project's approval was the perceived solvability of the logistical challenges.

Advanced Usage

• "In principle" solvability: Refers to whether a solution exists theoretically, regardless of practical constraints.
  • The debate centered on the in-principle solvability of the philosophical paradox.
• "Computational" solvability: Pertains to whether a problem can be solved by an algorithm within a reasonable amount of time or resources.
  • The solvability of this class of problems is a major topic in computer science.

Variants and Related Words

• Solvable (adj): Capable of being solved.
  • The puzzle is complex but ultimately solvable.
• Solve (v): To find an answer or solution to a problem.
  • Engineers worked to solve the design flaw.
• Solution (n): The means of solving a problem or the answer itself.
  • After hours of work, she found the solution.

Synonyms

• Resolvability: The capability of being resolved.
• Solubleness (less common, often in specific contexts): The quality of being soluble or solvable.

Antonyms

• Insolvability: The property of being impossible to solve.
• Intractability: The quality of being very difficult or impossible to manage or solve.

Noun

1. the property (of a problem or difficulty) that makes it possible to solve