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A variation of Hilbert's axioms for Euclidean geometry

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Publication:6114795
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DOI10.1007/s00591-022-00320-3zbMath1518.51005OpenAlexW4281686223WikidataQ114228870 ScholiaQ114228870MaRDI QIDQ6114795

Hanna Peters, Hermann Hähl

Publication date: 12 July 2023

Published in: Mathematische Semesterberichte (Search for Journal in Brave)

Full work available at URL: https://doi.org/10.1007/s00591-022-00320-3


zbMATH Keywords

plane geometryabsolute geometryHilbert's axiomsside-angle-side axiom


Mathematics Subject Classification ID

Foundations of classical theories (including reverse mathematics) (03B30) Absolute planes in metric geometry (51F05)




Cites Work

  • 100 years \textit{Grundlagen der Geometrie} -- David Hilbert's decisive contribution to the formalization of mathematics
  • Geometry and Empirical Science
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