Analysis of the continuum with surreal numbers

DOI10.1007/s00591-022-00316-zzbMath1500.00004OpenAlexW4210247715MaRDI QIDQ2088185

Thomas Morgenstern

Publication date: 21 October 2022

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

Full work available at URL: https://doi.org/10.1007/s00591-022-00316-z

zbMATH Keywords

AristotelesParmenidesInfinitesimaleKontinuumsurrealen ZahlenZenons Paradoxie der Vielheit

Mathematics Subject Classification ID

Philosophy of mathematics (00A30) Philosophical and critical aspects of logic and foundations (03A05) Ordinal and cardinal numbers (03E10)

Cites Work

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• Betrachtungen über das Vollständigkeitsaxiom und verwandte Axiome
• Zahlen
• On the basic problem of limiting values
• Historical and philosophical notices on the continuum
• Graph Theory
• Philosophie der Mathematik
• Contemporary Infinitesimalist Theories of Continua and Their Late Nineteenth- and Early Twentieth-Century Forerunners
• Mathematische Modelle des Kontinuums
• Real numbers. The classic continuum and natural sequences

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