English

Surreal Birthdays and Their Arithmetic

History and Overview 2018-10-26 v2

Abstract

Surreal numbers are created recursively, with the "birthday" being the depth of the recursion. Birthday arithmetic describes how birthdays of surreal numbers are transformed by standard arithemetic operations. This paper shows that birthday arithmetic follows simple rules.

Cite

@article{arxiv.1810.10373,
  title  = {Surreal Birthdays and Their Arithmetic},
  author = {Matthew Roughan},
  journal= {arXiv preprint arXiv:1810.10373},
  year   = {2018}
}

Comments

12 pages, 7 figures

R2 v1 2026-06-23T04:51:16.296Z