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countability
This term is primarily used as a technical descriptor across three distinct fields: general logic, linguistics, and mathematics. In general usage, it refers to the simple possibility of enumeration. In linguistics, it describes a grammatical category that dictates how a noun interacts with determiners and number markers, distinguishing between discrete units and mass substances.
In the context of set theory, the term takes on a highly specialized meaning regarding cardinality. Here, it does not merely mean "can be counted" in a finite sense, but refers to sets that can be put into a one-to-one correspondence with the set of natural numbers, including countably infinite sets.
Ý nghĩa
The quality of being able to be counted or enumerated.
The countability of the items in the inventory was verified by the auditor.
In linguistics, the property of a noun that allows it to be used with numerals or in a plural form.
The countability of a noun determines whether it takes a plural suffix or requires a quantifier like some or any.
In mathematics, specifically set theory, the property of a set having the same cardinality as a subset of the natural numbers.
The mathematician discussed the countability of the set of rational numbers.