Re: Incompleteness of Cantor's enumeration of the rational numbers (extra-ordinary)

Am Thu, 09 Jan 2025 17:18:16 +0100 schrieb WM:

On 09.01.2025 10:56, FromTheRafters wrote:

WM explained :

 

The set {1, 2, 3, ...} is smaller by one element than the set {0, 1,
2, 3, ...}.

Both sets are equal in size

No. Both sets appear equal (although everybody can see that they are
not) when measured by an insufficient tool.

Nobody said they were equal to each other.

I wonder which cardinality you assign to the sets
{k^2 +2} and {k^2 +1}, k e N?

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Am Sat, 20 Jul 2024 12:35:31 +0000 schrieb WM in sci.math:
It is not guaranteed that n+1 exists for every n.