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From: "Chris M. Thomasson" <chris.m.thomasson.1@gmail.com>
Newsgroups: sci.math
Subject: Re: More complex numbers than reals?
Date: Wed, 10 Jul 2024 17:28:15 -0700
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On 7/10/2024 5:24 PM, Moebius wrote:
> Am 11.07.2024 um 02:16 schrieb Chris M. Thomasson:
> 
>> {a, b, c} vs { 3, 4, 5 }
>>
>> Both have the same number of elements, [...]
> 
> HOW do you know that? Please define (for any sets A, B):
> 
>      A and B /have the same number of elements/ iff ___________________ .
> 
> (i.e. fill out the blanks). :-)
> 
> Hint: That's what Ben Bacarisse is asking for.
> 
> Sure, it's "obvious" for us. But how would you define "have the same 
> number of elements" (in mathematical terms) such that it can be DEDUCED 
> (!) für certain sets A and B?
> 
> ________________________________________
> 
> Ok, I'm slighty vicious now... :-)
> 
> If a = b = c, {a, b, c} still has "the same number of elements" as {3, 
> 4, 5 }? :-P

I see {a, b, c} and {3, 4, 5} and think three elements.