Re: Cardinality

Am Tue, 08 Oct 2024 12:22:50 +0200 schrieb WM:

On 07.10.2024 18:11, Alan Mackenzie wrote:

What I should have written (WM please take note) is:
 
The idea of one countably infinite set being "bigger" than another
countably infinite set is simply nonsense.

The idea is supported by the fact that set A as a superset of set B is
bigger than B. Simply nonsense is the claim that there are as many
algebraic numbers as prime numbers. For Cantor's enumeration of all
fractions I have given a simple disproof.

You have claimed that infinite sets that don’t contain each other can’t
be compared in size. Does {0, 1, 2, …} not have the same „number” of
elements as {a, 1, 2, …}?

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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.