kokonaislukuun

Kokonaislukuun is the illative singular form of the Finnish noun kokonaisluku, which denotes an integer—a whole number that can be positive, negative, or zero. In mathematics, the concept of integers forms a fundamental number set, often denoted by the symbol Z.

In Finnish, illative case expresses direction toward or into something. Therefore kokonaislukuun appears in contexts where a discussion focuses on the idea of an integer or on something that yields or relates to an integer. It is a grammatical form rather than a mathematical operation in itself. In mathematical prose, the illative can occur when describing mappings, classifications, or properties that are specified as relating to integers.

The plural form for the illative is kokonaislukuihin, used when referring to “to the integers” or “into the integers.” For general statements about the set of integers, Finnish texts typically use the term kokonaisluvut or, more compactly, Z as the notation for the whole set of integers. The illative forms are part of Finnish noun declension and are mostly encountered in more predicate- or phrase-focused expressions within mathematical writing or language studies.

Kokonaisluku as a term designates the mathematical object, while kokonaislukuun represents a grammatical form used to situate discourse toward that object. This distinction reflects the broader interplay between mathematical terminology and Finnish case endings in technical texts. See also kokonaisluku, Z (the set of integers), and Finnish mathematical terminology.