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While there are larger and smaller infinite sets the two sets you give are the same size. They are both countably infinite. A way to see this is that for every
by cbr 14y ago
While there are larger and smaller infinite sets the two sets you give are the same size. They are both countably infinite. A way to see this is that for every element in the set of even positive integers there is a corresponding positive integer and vice versa.
All math is abstraction, and you need to make sure it applies to the current case. In this case it doesn't: infinite resources don't exist.