On Carruth's axioms for natural sums and products

DOI10.1007/s40879-023-00696-zOpenAlexW4387491426MaRDI QIDQ6055058

Pedro Pablo Pérez Velasco, Lorenz Halbeisen

Publication date: 25 October 2023

Published in: European Journal of Mathematics (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s40879-023-00696-z

zbMATH Keywords

arithmeticordinal numbersHessenberg sumCarruth axioms

Mathematics Subject Classification ID

Second- and higher-order arithmetic and fragments (03F35) Ordinal and cardinal numbers (03E10)

Cites Work

• An infinite natural sum
• An Ehrenfeucht-Fraïssé game for Lω1ω
• Some transfinite natural sums
• Natural sums of ordinals
• Arithmetic of ordinals with applications to the theory of ordered Abelian groups
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