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Topic: Anti-foundation axiom
Replies: 11   Last Post: Mar 15, 2013 6:00 AM

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K_h

Posts: 333
Registered: 4/12/07
Re: Anti-foundation axiom
Posted: Mar 15, 2013 12:04 AM
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"Shmuel (Seymour J.)Metz" wrote in message
news:514221ad$7$fuzhry+tra$mr2ice@news.patriot.net...

> Choice inplies the existence of nonconstructible sets in ZFC.

Only in the sense that choice doesn't necessarily give you a procedure for
producing the set. But I was using the term `non-constructible' in the
sense of a set that does not exist in L -- (Godel's constructible universe).
In that sense, choice does not imply the existence of non-constructible
sets.

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