Problem related to countability of sets

Question

Set of all finite subsets of $\mathbb{N}$ the set of all natural numbers is finite or infinite?

Does this answer your question? The set of all finite subsets of the natural numbers is countable — Sujit Bhattacharyya, Jan 01 '20 at 12:39
See also Show that the set of all finite subsets of $\mathbb{N}$ is countable. and other questions linked there. — Martin Sleziak, Jan 01 '20 at 13:24

score 1 · Answer 1 · answered Jan 01 '20 at 12:38

1

The following are all examples of finite subsets of $\Bbb N$:

$\{0\}, \{1\},\{2\},\{3\},\ldots$

answered Jan 01 '20 at 12:38

Henno Brandsma

I agree but this doesn't answers my question. – anubhav tiwari Jan 01 '20 at 12:39
1

Actually, it does answer your question. – Jan 01 '20 at 12:40
@anubhavtiwari Is $\Bbb N$ infinite or finite? – Henno Brandsma Jan 01 '20 at 12:50
Got u I wanted to ask weather that set is countable or uncountable. – anubhav tiwari Jan 01 '20 at 12:53

1 Answers1