Question

What is a countable infinite set?

Answer 1

a set in which each number can be counted without missing out any element
an example is the set of positive integers
u can count 1,2,3,4 etc although it is infinite

Answer 2

It's a set with which you can create a bijective relation with the set of natural numbers.

Answer 3

One u can theoretically count the number of elements (if u had endless amount of time).

Answer 4

So is it basically a set that you can place in a one to one correspondence with natural numbers?

Answer 5

Yep

Answer 6

set with set, numbers with elements

Answer 7

Thank you guys!!

Answer 8

yw

Answer 9

What would be an example to show?

Answer 10

The set of all finite subsets of the natural numbers is countable

Answer 11

The set of even numbers is countable. Or odd ones.