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Ramified Frege arithmetic

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Publication:766295
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DOI10.1007/s10992-010-9158-yzbMath1250.03011OpenAlexW2097441263MaRDI QIDQ766295

Richard G. jun. Heck

Publication date: 23 March 2012

Published in: Journal of Philosophical Logic (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s10992-010-9158-y

zbMATH Keywords

second-order arithmeticFrege arithmeticramified second-order logic


Mathematics Subject Classification ID

Philosophical and critical aspects of logic and foundations (03A05) Second- and higher-order arithmetic and fragments (03F35)


Related Items

FREGE MEETS BROUWER (OR HEYTING OR DUMMETT), Zigzag and Fregean Arithmetic



Cites Work

  • Amending Frege's \textit{Grundgesetze der Arithmetik}
  • Finitude and Hume's principle
  • Cardinality, counting, and equinumerosity
  • The development of arithmetic in Frege'sGrundgesetze der arithmetik
  • Predicative Fragments of Frege Arithmetic
  • On a consistent subsystem of Frege's Grundgesetze
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