The basic difference between finite and infinite set is that finite set has a specific, countable number of elements, while an infinite set has an uncountable or endless number of elements.

**Finite set**

A finite set is a collection of distinct elements that has a specific, countable number of members, which can be zero or more. For example, the set of integers from 1 to 5 {1, 2, 3, 4, 5} is a finite set with five elements.

**Infinite set**

An infinite set is a set that has an uncountable or endless number of elements, such as the set of all natural numbers (1, 2, 3, …) or the set of all real numbers.

**Finite set Vs infinite set**

The key differences between finite and infinite sets are given below:

Characteristic | Finite Set | Infinite Set |

Number of Elements | Limited, countable | Unlimited, often uncountable |

Example | {1, 2, 3, 4, 5} | {1, 2, 3, …} |

Countability | Finite, specific count | Infinite, no specific count |

Endpoint | Has an endpoint | Has no endpoint |

Cardinality | Has a finite cardinality | Has an infinite cardinality |

Subset of Itself? | No | Yes (infinite sets contain infinite subsets) |

Operations | Standard set operations apply | Standard set operations apply |

Enumeration | All elements can be listed | Cannot list all elements |