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Models of arithmetic and categories with finiteness conditions

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Publication:1097274
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DOI10.1016/0168-0072(87)90059-5zbMath0635.03058OpenAlexW2008125838MaRDI QIDQ1097274

Radu Diaconescu, Laurence Kirby

Publication date: 1987

Published in: Annals of Pure and Applied Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1016/0168-0072(87)90059-5


zbMATH Keywords

total ordermodels of arithmeticfragments of arithmeticfiniteness conditionwell ordermodels of \(I\Delta _ 0+EXP\)Peano axioms


Mathematics Subject Classification ID

Topoi (18B25) First-order arithmetic and fragments (03F30) Categories admitting limits (complete categories), functors preserving limits, completions (18A35) Models of arithmetic and set theory (03C62)


Related Items (1)

On Comparability in a Topos




Cites Work

  • Ultrafilters and types on models of arithmetic
  • Overspill and fragments of arithmetic
  • Counting $Δ_0$ sets
  • On the complexity of models of arithmetic
  • Expectations for Inbreeding Depression on Self-Fertilization of Tetraploids
  • AN ELEMENTARY THEORY OF THE CATEGORY OF SETS
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