The contribution of Zygmunt Ratajczyk to the foundations of arithmetic

DOI10.1305/NDJFL/1040136911zbMath0844.03001OpenAlexW1993884083MaRDI QIDQ1913625

Roman Murawski

Publication date: 8 July 1996

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

Full work available at URL: https://doi.org/10.1305/ndjfl/1040136911

zbMATH Keywords

foundations of arithmeticRatajczyk

Mathematics Subject Classification ID

Biographies, obituaries, personalia, bibliographies (01A70) First-order arithmetic and fragments (03F30) History of mathematical logic and foundations (03-03)

Cites Work

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• Subsystems of true arithmetic and hierarchies of functions
• Inductive full satisfaction classes
• More on induction in the language with a satisfaction class
• Satisfaction Classes and Combinatorial Sentences Independent From PA
• A combinatorial analysis of functions provably recursive in $ΙΣ_n$
• A characterization of expandability of models for ZF to models for KM
• Arithmetical transfinite induction and hierarchies of functions
• Functions provably total in $I^{-}Σ_{n}$

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