# Category:Finite Sets

This category contains results about Finite Sets.
Definitions specific to this category can be found in Definitions/Finite Sets.

A set $S$ is defined as finite if and only if:

$\exists n \in \N: S \sim \N_{<n}$

where $\sim$ denotes set equivalence.

That is, if there exists an element $n$ of the set of natural numbers $\N$ such that the set of all elements of $\N$ less than $n$ is equivalent to $S$.

Equivalently, a finite set is a set with a count.

## Subcategories

This category has the following 2 subcategories, out of 2 total.

## Pages in category "Finite Sets"

The following 15 pages are in this category, out of 15 total.