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The Diversity of Minimal Cofinal Extensions

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 نشر من قبل James Schmerl
 تاريخ النشر 2021
  مجال البحث
والبحث باللغة English
 تأليف James H. Schmerl




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Fix a countable nonstandard model $mathcal M$ of Peano Arithmetic. Even with some rather severe restrictions placed on the types of minimal cofinal extensions $mathcal N succ mathcal M$ that are allowed, we still find that there are $2^{aleph_0}$ possible theories of $(mathcal N,M)$ for such $mathcal N$s.



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