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Topic: Well Ordering
Replies: 4   Last Post: Feb 14, 2013 10:48 AM

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William Elliot

Posts: 1,238
Registered: 1/8/12
Well Ordering
Posted: Feb 13, 2013 5:17 AM
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Let S be a set with cardinality aleph_nu.
Since S is equinumerous with omega_nu, there's
. . a bijection h:S -> omega_nu.

Thus S is well ordered by x <= y when h(x) <= h(y);
. . well ordered without using AxC. Hm...







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