### What does **countable set** mean?

# Definitions for **countable set**

count·able set

#### Here are all the possible meanings and translations of the word **countable set**.

### Wiktionary

countable set(Noun)

A set that is finite or can be put in one-to-one relation with the integers.

### Freebase

Countable set

In mathematics, a countable set is a set with the same cardinality as some subset of the set of natural numbers. A set that is not countable is called uncountable. The term was originated by Georg Cantor. The elements of a countable set can be counted one at a time—although the counting may never finish, every element of the set will eventually be associated with a natural number. Some authors use countable set to mean a set with the same cardinality as the set of natural numbers. The difference between the two definitions is that under the former, finite sets are also considered to be countable, while under the latter definition, they are not considered to be countable. To resolve this ambiguity, the term at most countable is sometimes used for the former notion, and countably infinite for the latter. The term denumerable can also be used to mean countably infinite, or countable, in contrast with the term nondenumerable.

### Numerology

Chaldean Numerology

The numerical value of countable set in Chaldean Numerology is:

**3**Pythagorean Numerology

The numerical value of countable set in Pythagorean Numerology is:

**2**

## Translations for **countable set**

### From our Multilingual Translation Dictionary

- எண்ணக்கூடிய தொகுப்புTamil

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### Translation

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"countable set." *Definitions.net.* STANDS4 LLC, 2020. Web. 30 May 2020. <https://www.definitions.net/definition/countable+set>.