2018/10/23 by Matthew Roughan, Roughan, Matthew
Computer Science · Mathematics · #00A08 #03E75 #05C25 #Computability, Logic, AI Algorithms #FOS: Mathematics #History and Overview (math.HO) #math.HO #msc:00A08 #msc:03E75 #msc:05C25
paper · pdf · doi:10.48550/arxiv.1810.10373
12 pages, 7 figures
openalex publication_date 2018/10/23 · arxiv created 2018/10/25 · arxiv updated 2018/10/26 · openalex created_date 2025/10/10 · openalex updated_date 2026/07/28
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.