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It is believed that space is infinite, therefore containing an infinite number of universes. Since there is an infinite number of universes, then there are an infinite amount of Earth's exactly like ours, an infinite number of Earth's with subtle changes, etc. However, if this is true, then there is also an infinite amount of universes in which this is not true, creating a sort of paradox. How would you solve this?

It is believed that space is infinite, therefore containing an infinite number of universes. Since there is an infinite number of universes, then there are an infinite amount of Earth's exactly like ours, an infinite number of Earth's with subtle changes, etc. However, if this is true, then there is also an infinite amount of universes in which this is not true, creating a sort of paradox. How would you solve this?

Response from Stephen Maitzen on :

It doesn't seem difficult to solve, if we're willing to accept more than one universe. Analogy: There are infinitely many numbers that are even, infinitely many numbers that are odd, and infinitely many numbers that are neither even nor odd (because they aren't integers). The infinity of numbers satisfying the description "even" and the infinity of numbers satisfying the description "odd" doesn't preclude an infinity of numbers satisfying "neither even nor odd." It would be paradoxical only if there had to be numbers satisfying more than one of those descriptions.