[FOM] A question about a new definition of Cardinality.
Zuhair Abdul Ghafoor Al-Johar
zaljohar at yahoo.com
Wed Jan 18 12:19:50 EST 2012
Dear FOMers,
Cardinality is a one place function satisfying the following
basic property.
for all x, for all y: Cardinality(x) = Cardinality(y) iff x bijective to y
Now Let C(x) be the set of all sets hereditarily subnumerous to
P(P(x)) that are equinumerous to x.
Is there a known model of ZF in which C does not satisfy the above
basic property?
Best Regards
Zuhair
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