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by seanyeh 3976 days ago
Technically, you can create a bijection between all natural numbers and all even numbers. For all natural numbers k, there is an even number 2k (and for every even number 2k, there is a natural number k). So, the number of even numbers and natural numbers is the same. That's what happens when you try to reason with infinity ;)
1 comments

Yes, with Natural numbers

Curious what is possible in Integer numbers

> That's what happens when you try to reason with infinity ;)

Ah yes! Fascinating subject

Cardinality of natural numbers and integers is also the same. 0 -1 1 -2 2 -3 3... 0 1 2 3 4 5 6...