çözüm

Çözüm is a Turkish noun meaning solution or resolution. It denotes the result of solving a problem, a satisfactory explanation, or the plan or agreement that ends a dispute. In mathematics and logic, it refers to the set of values that satisfy an equation or condition; for example, çözüm kümesi means the solution set. The phrase problemin çözümü is common, and bir denklemin çözümü expresses the solution of an equation. In everyday language, one speaks of finding a çözüm to a difficulty—çözüm bulmak—or presenting çözüm önerileri. In social and political discourse, çözüm is used for a settlement or reconciliation, such as peaceful resolutions to conflicts or disputes; the term is often associated with processes aiming to resolve issues without violence.

Etymology and related forms

The word derives from the verb çözmek, meaning to solve, untangle, or dissolve, with the nominal suffix -üm forming the noun that denotes the act or result of solving. Related terms include çözümlemek (to work out or resolve) and çözümleyici (resolutive or analytical), though usage varies across contexts.

Contexts and usage

Çözüm is widely used across education, science, and everyday language to describe answers, explanations, and settlements. In mathematics, it is paired with phrases such as çözüm yolu (solution method) and çözüm kümesi (solution set). In political and social discussions, it conveys the idea of a peaceful or negotiated settlement to a problem.

Relation to other terms

In Turkish, çözelti is the standard term for a chemical solution, not çözüm. While related in meaning as outcomes of processes, çözelti refers specifically to a homogeneous liquid mixture in chemistry. Çözüm functions more broadly as the concept of resolution, answer, or settlement.