Re: More complex numbers than reals?

On 7/10/2024 5:28 PM, Chris M. Thomasson wrote:

On 7/10/2024 5:24 PM, Moebius wrote:

Am 11.07.2024 um 02:16 schrieb Chris M. Thomasson:
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{a, b, c} vs { 3, 4, 5 }
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Both have the same number of elements, [...]

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HOW do you know that? Please define (for any sets A, B):
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     A and B /have the same number of elements/ iff ___________________ .
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(i.e. fill out the blanks). :-)
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Hint: That's what Ben Bacarisse is asking for.
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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?
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________________________________________
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Ok, I'm slighty vicious now... :-)
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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.

Then I start to examine how the elements are different and their potential similarities, if any. For some reason, { a, b, c } and { 3, 4, 5 } makes me think of monotonically increasing.