Number systems with simplicity hierarchies: a generalization of Conway's theory of surreal numbers

DOI10.2307/2695104zbMath0988.03069OpenAlexW4252612324MaRDI QIDQ2758056

Philip Ehrlich

Publication date: 5 July 2002

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

Full work available at URL: https://doi.org/10.2307/2695104

zbMATH Keywords

ordered groupordered fieldsurreal numberssimplicity hierarchy

Mathematics Subject Classification ID

Ordered groups (06F15) Ordered abelian groups, Riesz groups, ordered linear spaces (06F20) Ordinal and cardinal numbers (03E10) Ordered fields (12J15)

Related Items (14)

Embedding Henselian fields into power series ⋮ Conway's work on iteration ⋮ NUMBER SYSTEMS WITH SIMPLICITY HIERARCHIES: A GENERALIZATION OF CONWAY’S THEORY OF SURREAL NUMBERS II ⋮ Surreal numbers with derivation, Hardy fields and transseries: a survey ⋮ The surreal numbers as a universal \(H\)-field ⋮ Corrigendum to “Number Systems with Simplicity Hierarchies: A Generalization of Conway's Theory of Surreal Numbers” ⋮ FORMALIZATION, PRIMITIVE CONCEPTS, AND PURITY ⋮ The exponential-logarithmic equivalence classes of surreal numbers ⋮ 2002 European Summer Meeting of the Association for Symbolic Logic Logic Colloquium '02 ⋮ 2005 Spring Meeting of the Association for Symbolic Logic ⋮ 2005 Summer Meeting of the Association for Symbolic Logic. Logic Colloquium '05 ⋮ SURREAL ORDERED EXPONENTIAL FIELDS ⋮ The rise of non-Archimedean mathematics and the roots of a misconception. I: The emergence of non-Archimedean systems of magnitudes ⋮ Finite presentation of homogeneous graphs, posets and Ramsey classes

Cites Work

• Set theory. An introduction to large cardinals
• Wohlgeordnete Untermengen in totalgeordneten Gruppen. Mit einer Anwendung auf Potenzreihenkörper
• A generalization of the ordered group of integers
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