The Plymouth Student Scientist
Document Type
Engineering, Computing and Mathematics Article
Abstract
In the first half of this paper we study John H. Conway’s construction of the Surreal Numbers, showing it is a proper class that forms the totally ordered Field No that extends the real and ordinal numbers, and then explore some of these novel numbers, such as w - 1, where w is the first von Neumann ordinal. In the second half we then introduce the notion of Games as a precise expression of two player perfect information sequential games, and analyse several of these Games such as Nim, Brussel Sprouts, and the original Game of Borages.
Publication Date
2019-07-24
Publication Title
The Plymouth Student Scientist
Volume
12
Issue
1
First Page
63
Last Page
134
ISSN
1754-2383
Deposit Date
July 2019
Creative Commons License
This work is licensed under a Creative Commons Attribution 4.0 International License.
Recommended Citation
Holden, Daniel
(2019)
"The Surreal Numbers and Combinatorial Games,"
The Plymouth Student Scientist: Vol. 12:
Iss.
1, Article 6.
DOI: https://doi.org/10.24382/9cg9-fb03
Available at:
https://pearl.plymouth.ac.uk/tpss/vol12/iss1/6
