Part Zero

E163267

Part Zero is the introductory section of John Conway and Richard Guy’s book "On Numbers and Games," where the foundational ideas of surreal numbers and combinatorial game theory are first developed.

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Part Zero canonical 1

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Predicate Object
instanceOf book section
introductory section
appearsIn first edition of On Numbers and Games
author John H. Conway
surface form: John Horton Conway

Richard K. Guy
developsConcept addition of games
birthdays of numbers
canonical forms of games
combinatorial games
equivalence of games
game values
induction on birthdays
multiplication of games
negation of games
numbers as games
ordering of games
surreal numbers
explains construction of surreal numbers from the empty set
day-by-day generation of surreal numbers
relationship between games and ordered fields
field combinatorial game theory
number theory
set theory
genre mathematics
hasInfluenceOn later work on surreal numbers
research in combinatorial game theory
hasSubject combinatorial game theory
surreal numbers
introduces Conway notation for numbers and games
cold games
hot games
left and right options of a game
recursive definitions of numbers
short games
language English
partOf On Numbers and Games
purpose to introduce basic notions of combinatorial games
to lay foundations for surreal numbers
targetAudience advanced mathematics students
mathematicians

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Full triples — surface form annotated when it differs from this entity's canonical label.

On Numbers and Games hasPart Part Zero