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From: Ben Bacarisse <ben@bsb.me.uk>
Newsgroups: sci.math
Subject: Re: More complex numbers than reals?
Date: Thu, 11 Jul 2024 01:35:49 +0100
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Moebius <invalid@example.invalid> writes:

> Am 11.07.2024 um 02:28 schrieb Chris M. Thomasson:
>> 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.
>
> Even if a = b = c = 1?
>
> C'mon man! :-P

Please, that's a red herring, and you know it!  No where did I say that
a, b and c stood for anything (i.e. that they might be variables in the
maths sense).  I this sort of context they are just distinct symbols.

-- 
Ben.