Re: Relative Cardinality

mueckenh@xxxxxxxxxxxxxxxxx writes:

> *** T. Winter wrote:
>
>> > It is a very fine criterion! Would Kronecker already have seen it,
>> > nobody knew set theory today.
>>
>> Ok, let's see how your criterion helps you. Consider two sets. Set A
>> contains the natural numbers , set B the negative even numbers. Consider
>> the following relative ordering of the elements of sets A and B in their
>> union:
>>
> Thanks for your construction, but is not necessary. If there is a
> bijection possible between two well-ordered sets A and B, then the
> elements of the two sets can be put in a single well-order such that
> there is always one a e A between two b e B and vice versa (+/-1).

Do that for the above sets A and B. Much fun. Do you even read what
you are purporting to reply to?

--
David Kastrup, Kriemhildstr. 15, 44793 Bochum
.

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