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Can an infinite set be placed into a one-to-one correspondence?

 Oct 2, 2020
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"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.

 Oct 2, 2020

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