dc.contributor.author	Holden, D.
dc.date.accessioned	2019-07-24T10:49:54Z
dc.date.available	2019-07-24T10:49:54Z
dc.date.issued	2019
dc.identifier.uri	http://hdl.handle.net/10026.1/14684
dc.description.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.	en_US
dc.language.iso	en	en_US
dc.publisher	Holden, D. (2019) 'The Surreal Numbers and Combinatorial Games', The Plymouth Student Scientist, 12(1), p. 63-134.	en_US
dc.rights	Attribution 3.0 United States	*
dc.rights.uri	http://creativecommons.org/licenses/by/3.0/us/	*
dc.subject	Surreal Numbers	en_US
dc.subject	John H. Conway	en_US
dc.subject	Game Theory	en_US
dc.subject	Axioms	en_US
dc.subject	Truncation Theorem	en_US
dc.subject	Nim	en_US
dc.subject	Brussel Sprouts	en_US
dc.subject	Game of Borages	en_US
dc.title	The Surreal Numbers and Combinatorial Games	en_US
plymouth.issue	1
plymouth.volume	12
plymouth.journal	The Plymouth Student Scientist

The Surreal Numbers and Combinatorial Games