Part Zero: Preliminaries
E163269
Part Zero: Preliminaries is the introductory section of John Conway’s book *On Numbers and Games*, where the foundational concepts and notation for surreal numbers and combinatorial game theory are established.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Part Zero: Preliminaries canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1428796 — resolving that mention is where its identity was fixed. The disambiguator weighed these candidate entities and picked the highlighted one (or “None”, minting a new entity). This is how homonymy is resolved: the same surface form can point to different entities.
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Part Zero: Preliminaries Context triple: [On Numbers and Games, hasPart, Part Zero: Preliminaries]
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A.
Book I: Fundamental Ideas
Book I: Fundamental Ideas is the opening section of John Maynard Keynes’s *A Treatise on Probability*, where he lays out the foundational concepts and philosophical underpinnings of his theory of probability.
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B.
The Beginning
"The Beginning" is a song by John Legend from his R&B album "Love in the Future."
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C.
The Beginning
The Beginning is a studio album by American hip hop group The Black Eyed Peas that continues their dance-pop and electronic sound following the success of The E.N.D.
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D.
On First Principles
On First Principles is a foundational early Christian theological treatise by Origen that systematically explores doctrines such as God, creation, free will, and salvation.
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E.
Book II: Fundamental Theorems
Book II: Fundamental Theorems is a major section of John Maynard Keynes’s *A Treatise on Probability* that develops the core mathematical and logical results underpinning his theory of probability.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Part Zero: Preliminaries Target entity description: Part Zero: Preliminaries is the introductory section of John Conway’s book *On Numbers and Games*, where the foundational concepts and notation for surreal numbers and combinatorial game theory are established.
-
A.
Book I: Fundamental Ideas
Book I: Fundamental Ideas is the opening section of John Maynard Keynes’s *A Treatise on Probability*, where he lays out the foundational concepts and philosophical underpinnings of his theory of probability.
-
B.
The Beginning
"The Beginning" is a song by John Legend from his R&B album "Love in the Future."
-
C.
The Beginning
The Beginning is a studio album by American hip hop group The Black Eyed Peas that continues their dance-pop and electronic sound following the success of The E.N.D.
-
D.
On First Principles
On First Principles is a foundational early Christian theological treatise by Origen that systematically explores doctrines such as God, creation, free will, and salvation.
-
E.
Book II: Fundamental Theorems
Book II: Fundamental Theorems is a major section of John Maynard Keynes’s *A Treatise on Probability* that develops the core mathematical and logical results underpinning his theory of probability.
- F. None of above. chosen
Statements (50)
| Predicate | Object |
|---|---|
| instanceOf |
book section
ⓘ
introductory chapter ⓘ |
| appearsIn |
first edition of On Numbers and Games
ⓘ
second edition of On Numbers and Games ⓘ |
| author |
John H. Conway
ⓘ
surface form:
John Horton Conway
|
| field | mathematics ⓘ |
| hasSubject |
addition of games
ⓘ
basic logical notation ⓘ basic operations on games ⓘ birthdays of numbers ⓘ canonical forms of numbers ⓘ combinatorial game theory ⓘ construction of surreal numbers from games ⓘ conventions for proofs ⓘ equivalence of games ⓘ equivalence relations ⓘ formal definitions of numbers and games ⓘ functions and mappings ⓘ game trees ⓘ game values ⓘ induction on days (birthdays) ⓘ inductive definitions ⓘ informal discussion of infinite numbers ⓘ informal discussion of infinitesimals ⓘ left and right options in games ⓘ mathematical foundations ⓘ motivation for game values ⓘ motivation for surreal numbers ⓘ multiplication of games ⓘ negation of games ⓘ notation for games ⓘ notation for surreal numbers ⓘ ordered fields ⓘ ordered pairs and tuples ⓘ ordering of games ⓘ relations and orderings ⓘ set notation ⓘ set-theoretic constructions ⓘ simplicity principle ⓘ surreal numbers ⓘ |
| language | English ⓘ |
| partOf | On Numbers and Games ⓘ |
| purpose |
to establish foundational concepts for combinatorial games
ⓘ
to establish foundational concepts for surreal numbers ⓘ to introduce notation used in On Numbers and Games ⓘ |
| subfield |
combinatorics
ⓘ
game theory ⓘ mathematical logic ⓘ number theory ⓘ set theory ⓘ |
How these facts were elicited
The pipeline generated the facts above by prompting gpt-5.1 with this entity's name + description and the instruction below.
Instruction
You are a knowledge base construction expert. Given a subject entity and a description of it, return factual statements that you know for the subject as a JSON list of dictionaries(triples), where keys must be "subject", "predicate" and "object". The number of facts may be very high, between 25 to 50 or more, for very popular subjects. For less popular subjects, the number of facts can be very low, like 5 or 10. # Requirements - If you don't know the subject at all, return an empty list. - If the subject is not a named entity, return an empty list. - Include at least one triple where predicate is "instanceOf". - Do not get too wordy. - Separate several objects into multiple triples with one object.
Input
Subject: Part Zero: Preliminaries Description of subject: Part Zero: Preliminaries is the introductory section of John Conway’s book *On Numbers and Games*, where the foundational concepts and notation for surreal numbers and combinatorial game theory are established.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.