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Math Forum » Discussions » sci.math.* » sci.math.independent

Topic: Given a set , is there a disjoint set with an arbitrary cardinality?
Replies: 1   Last Post: Dec 4, 2012 6:49 AM

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Aatu Koskensilta

Posts: 2,579
Registered: 6/28/08
Re: Given a set , is there a disjoint set with an arbitrary cardinality?
Posted: Dec 4, 2012 6:49 AM
  Click to see the message monospaced in plain text Plain Text   Click to reply to this topic Reply

jaakov <removeit_jaakov@deleteit_ro.ru> writes:

>> I'd like to be sure that the claims
>>
>> |X|<|A| => |A| = |A\X|
>>
>> k<|B| => exists Y subset B such that |Y|=k
>>
>> are valid without the regularity and purity axioms.
>
> I think that these claims to not depend on regularity or purity.

They don't.

--
Aatu Koskensilta (aatu.koskensilta@uta.fi)

"Wovon man nicht sprechen kann, darüber muss man schweigen"
- Ludwig Wittgenstein, Tractatus Logico-Philosophicus

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