Can an infinite set be placed into a one-to-one correspondence?
"Can an infinite set be placed into a one-to-one correspondence?"
Yes. For example:
1, 2, 3, 4, 5, .....
| | | | | .....
2, 4, 6, 8, 10, ....
The natural numbers are in one-to-one correspondence with the positive even integers.
