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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Label Occurrences
Part Zero canonical 1

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Statements (40)

Predicate Object
instanceOf book section ⓘ
introductory section ⓘ
appearsIn first edition of On Numbers and Games ⓘ
author John Horton Conway ⓘ
linked to: John H. 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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Referenced by (1)

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

On Numbers and Games → hasPart → Part Zero ⓘ