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Deeper than primes - Continuation

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In that case the cardinality of the sequence <41,42,43,...> is < |N|, which is not true.

Actually your Never is equivalent to the claim that the cardinality of the sequence <1,2,3,...> is not |N|.
 
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In that case the cardinality of the sequence <41,42,43,...> is < |N|, which is not true.

Actually your Never is equivalent to the claim that the cardinality of the sequence <1,2,3,...> is not |N|.

False and false. That there is no element in an infinite sequence with infinitely many segments is independent of the sequence's cardinality.
 
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