njëjti

Njëjti is an Albanian noun that denotes identity or sameness. In everyday, academic, and technical contexts, it refers to the quality of being identical to something else or to oneself. The word is built from the numeral një, meaning one, and conveys the sense of “the one” or “the same entity.”

In philosophy and logic, njëjti is used to discuss the principle of identity, the idea that every object is identical with itself. The law of identity is often summarized as A is A, underscoring that an object has no different essence or properties from itself. In Albanian discussions, this principle is expressed in logical and metaphysical arguments about what it means for a thing to be the same across contexts or over time.

In mathematics and formal logic, the concept appears through the identity relation, the identity function, and the identity element. The identity relation I(x, y) holds precisely when x equals y. The identity function f(x) = x maps every element to itself. In algebraic structures, an identity element e satisfies a · e = a and e · a = a for all elements a in the set, depending on the operation.

Linguistically, the root płus forms related to njëjti appear in Albanian expressions that denote sameness or indistinguishability, with usage varying by context and syntax. Overall, njëjti serves as a general term for discussing how things are the same or identical in philosophical, mathematical, and linguistic contexts.