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From: WM <wolfgang.mueckenheim@tha.de>
Newsgroups: sci.math
Subject: Re: The reality of sets, on a scale of 1 to 10 [Was: The
 non-existence of "dark numbers"]
Date: Sun, 23 Mar 2025 18:18:15 +0100
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On 22.03.2025 15:04, Alan Mackenzie wrote:
> WM <wolfgang.mueckenheim@tha.de> wrote:
> 
> Tell me, which of these infinite sets is bigger: {0, 4, 8, 12, 16, ....}
> and {1, 3, 5, 7, 9, ....}?

The second, of course. You need only consider finite sections and take 
the limit. Great mathematicians have devised this method.
> 
> The mathematically correct answer is that they are both the same size
> (cardinality) because there is a bijection between them.

Nonsense. The "bijection" is invalid because there are always infinitely 
many elements following after every defined pair.
>>> I doubt very much Cantor said such rubbish.
> 
>> You have pronounced your own sentence: Your opinions are rubbish.

You should be ashamed to be so misinformed and nevertheless a bigmouth.

Regards, WM