The diversity of minimal cofinal extensions

DOI10.1215/00294527-2022-0028OpenAlexW3199691237MaRDI QIDQ2108579

James H. Schmerl

Publication date: 19 December 2022

Published in: Notre Dame Journal of Formal Logic (Search for Journal in Brave)

Full work available at URL: https://arxiv.org/abs/2109.08130

zbMATH Keywords

Peano arithmeticminimal cofinal extensions

Mathematics Subject Classification ID

Models of arithmetic and set theory (03C62)

Cites Work

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• On cofinal submodels and elementary interstices
• Substructure lattices and almost minimal end extensions of models of Peano arithmetic
• Closure properties of countable non-standard integers
• Discernible elements in models for Peano arithmetic
• Über die Nicht-charakterisierbarkeit der Zahlenreihe mittels endlich oder abzählbar unendlich vieler Aussagen mit ausschliesslich Zahlenvariablen
• The canonical Ramsey theorem and computability theory
• A Combinatorial Theorem

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