# Definitions for countabilitycount·abil·i·ty

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1. countabilitynoun

The quality of being countable.

### WikipediaRate this definition:0.0 / 0 votes

1. countability

In mathematics, a set is countable if either it is finite or it can be made in one to one correspondence with the set of natural numbers. Equivalently, a set is countable if there exists an injective function from it into the natural numbers; this means that each element in the set may be associated to a unique natural number, or that the elements of the set can be counted one at a time, although the counting may never finish due to an infinite number of elements. In more technical terms, assuming the axiom of countable choice, a set is countable if its cardinality (its number of elements) is not greater than that of the natural numbers. A countable set that is not finite is said countably infinite. The concept is attributed to Georg Cantor, who proved the existence of uncountable sets, that is, sets that are not countable; for example the set of the real numbers.

### Numerology

1. Chaldean Numerology

The numerical value of countability in Chaldean Numerology is: 2

2. Pythagorean Numerology

The numerical value of countability in Pythagorean Numerology is: 7

### Popularity rank by frequency of use

countability#100000#259402#333333

## Translations for countability

• 가산 성
• 可数

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"countability." Definitions.net. STANDS4 LLC, 2023. Web. 23 Mar. 2023. <https://www.definitions.net/definition/countability>.

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