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On 23.11.2024 22:07, FromTheRafters wrote:Show me Cantor shifting interval hats!WM wrote :>>A bijection between natural numbers and prime numbers proves that for every prime number there is a natural number: p_1, p_2, p_3, ...What makes you think that that follows?
If that is correct, then there are as many natural numbers as prime numbers and as many prime numbers as natural numbers. Then the following scenario is possible:
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Cover the unit intervals of prime numbers by red hats. Then shift the red hats so that all unit intervals of the positive real axis get red hats.
Cantor.
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