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Journal of Logic and Analysis
Article . 2011 . Peer-reviewed
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Journal of Logic and Analysis
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Journal of Logic and Analysis
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https://dx.doi.org/10.4115/jla...
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Conway names, the simplicity hierarchy and the surreal number tree

descriptionPublicationkeyboard_double_arrow_right Article 01 Jan 2011Publisher:Journal of Logic and AnalysisJournal:Journal of Logic and Analysis (eissn: 1759-9008, Copyright policy )
Authors: Philip Ehrlich;

doi: 10.4115/jla.2011.3.1

Conway names, the simplicity hierarchy and the surreal number tree

Abstract

Each surreal number has a unique Conway name (or normal form) that is characteristic of its individual properties. The paper answers the following two questions that are naturally suggested by the surreal number system's structure as a lexicographically ordered full binary tree. (i) Given the Conway name of a surreal number, what are the Conway names of its two immediate successors? (ii) Given the Conway names of the members of a chain of surreal numbers of limit length, what is the Conway name of the immediate successor of the chain?

Keywords

QA1-939, Mathematics

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selected citations
These citations are derived from selected sources.
This is an alternative to the "Influence" indicator, which also reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Citations provided by BIP!
popularity
This indicator reflects the "current" impact/attention (the "hype") of an article in the research community at large, based on the underlying citation network.
BIP!Popularity provided by BIP!
influence
This indicator reflects the overall/total impact of an article in the research community at large, based on the underlying citation network (diachronically).
BIP!Influence provided by BIP!
impulse
This indicator reflects the initial momentum of an article directly after its publication, based on the underlying citation network.
BIP!Impulse provided by BIP!
5
Top 10%
Top 10%
Average
gold