Számlálhatóak

Számlálhatóak is a Hungarian term that translates to "countable" in English. It is primarily used in linguistics and mathematics to describe sets or items that can be enumerated or counted individually.

In linguistics, countable nouns refer to things that can be counted and typically have both singular and plural forms. For example, "alma" (apple) is countable, as you can have one apple, two apples, or many apples. In contrast, uncountable nouns, such as "víz" (water) or "információ" (information), cannot be counted individually and usually only have a singular form. The distinction between countable and uncountable nouns affects grammatical structures, such as the use of articles and quantifiers.

In mathematics, the concept of countability applies to sets. A set is considered countable if its elements can be put into a one-to-one correspondence with the set of natural numbers {1, 2, 3, ...}. This means that even if the set is infinite, its elements can be listed in an ordered sequence. Finite sets are always countable. The set of integers and the set of rational numbers are examples of countably infinite sets. Uncountable sets, such as the set of real numbers, are those whose elements cannot be put into such a correspondence. The study of countability is fundamental in set theory and has implications in various branches of mathematics.