irratsionaalse

Irratsionaalse is the genitive singular form of the Estonian adjective irratsionaalne, meaning irrational. In Estonian, adjectives inflect to agree with the noun they modify in case, number, and gender; when the noun is in the genitive singular, the form irratsionaalse is used. This inflected form appears in phrases such as irratsionaalse väite (“an irrational claim”) or irratsionaalse mõistuse (“of an irrational mind”).

Beyond its grammatical use, the root irratsionaalne is employed to describe things that are not rational. It can modify ideas, behavior, or arguments to indicate a lack of logical justification or coherence. For example, irratsionaalne käitumine translates to irrational or illogical behavior.

In mathematics, the related concept of irrational numbers refers to real numbers that cannot be expressed as a ratio of two integers. Common examples include the square root of 2, pi, and the base of natural logarithms e. The Estonian term for this mathematical notion is irratsionaalne arv, and discussions of irrationality frequently use the adjective irratsionaalne in various cases and numbers within Estonian text.

In summary, irratsionaalse is a grammatical form used in Estonian to modify a noun in the genitive singular, while irratsionaalne and its derivatives describe irrational concepts, whether in logic, everyday reasoning, or mathematics. See also irratsionaalne, irrational numbers, rational.