Closure properties of countable non-standard integers

DOI10.4064/fm-103-3-205-215zbMath0421.03051OpenAlexW1207460113MaRDI QIDQ3853628

George Mills, Jeffrey Bruce Paris

Publication date: 1979

Published in: Fundamenta Mathematicae (Search for Journal in Brave)

Full work available at URL: https://eudml.org/doc/211035

zbMATH Keywords

initial segmentuncountable models

Mathematics Subject Classification ID

Nonstandard models of arithmetic (03H15)

Related Items (9)

Automorphisms of models of arithmetic: a unified view ⋮ The theory of \(\kappa\)-like models of arithmetic ⋮ Nonstandard definability ⋮ An improper arithmetically closed Borel subalgebra of \(\mathcal P(\omega)\) mod FIN ⋮ Where pigeonhole principles meet Koenig lemmas ⋮ Largest initial segments pointwise fixed by automorphisms of models of set theory ⋮ Saturation and simple extensions of models of Peano arithmetic ⋮ A model-theoretic characterization of the weak pigeonhole principle ⋮ The diversity of minimal cofinal extensions

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