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arXiv:1810.10373math.HO

Surreal Birthdays and Their Arithmetic

Matthew Roughan

Early discovery. Linked by one identifiable commenter. This paper is outside the main ranking; a mention is not an endorsement.

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.

arXiv comments
12 pages, 7 figures
Journal reference
DOI
Subjects
math.HOHistory and Overview

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Linked by 1 identifiable commenter in 1 comment across 1 thread, from Apr 2020 to Apr 2020.

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Discussed in comments1 thread

  1. Ask HN: Which programming language has the best `number' implementation? 1 comment

    • Not my area, but it oooks like there’s a surreal numbers package: https://github.com/mroughan/SurrealNumbers.jl And a nice paper: https://arxiv.org/pdf/1810.10373

      elcritchView on HNParent context

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