Search All of the Math Forum:
Views expressed in these public forums are not endorsed by
NCTM or The Math Forum.


Math Forum
»
Discussions
»
sci.math.*
»
sci.math
Notice: We are no longer accepting new posts, but the forums will continue to be readable.
Topic:
Given a set , is there a disjoint set with an arbitrary cardinality?
Replies:
28
Last Post:
Dec 4, 2012 5:50 PM



jaakov
Posts:
11
Registered:
12/3/12


Given a set , is there a disjoint set with an arbitrary cardinality?
Posted:
Dec 3, 2012 9:21 AM


Dear all:
Given a set X and a cardinal k, is there a set Y such that card(Y)=k and X is disjoint from Y?
Is there a proof of this fact that works without the axiom of regularity (= axiom of foundation) and does not assume purity of sets?
Thanks in advance
Jaakov.
 news://freenews.netfront.net/  complaints: news@netfront.net 



