- #1
Ignea_unda
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Since Tex is giving me a hard time this question is going to be a lot more undeveloped than it was going to be. We were discussing in class the cardinality of the Natural numbers being aleph null and that the cross product was also of cardinality aleph null. Is it true then that:
[tex]|\textbf{N} \times \textbf{N} \times \ldots \times \textbf{N}| = \aleph_0[/tex]
For any finite number of cross products?
Is it true for a countably infinite number of times? If not, why not?
[tex]|\textbf{N} \times \textbf{N} \times \ldots \times \textbf{N}| = \aleph_0[/tex]
For any finite number of cross products?
Is it true for a countably infinite number of times? If not, why not?