Orders of Infinity
E120390
"Orders of Infinity" is a mathematical treatise by G. H. Hardy that systematically develops the theory of divergent series and the comparative growth rates of functions in analysis.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Orders of Infinity canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T1060238 — 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: Orders of Infinity Context triple: [G. H. Hardy, notableWork, Orders of Infinity]
-
A.
The Infinite Plan
The Infinite Plan is a novel by Isabel Allende that follows the tumultuous life of a man seeking identity and meaning against the backdrop of mid-20th-century American social and political upheaval.
-
B.
Wowbagger the Infinitely Prolonged
Wowbagger the Infinitely Prolonged is a character from Douglas Adams' Hitchhiker's Guide universe, an immortal being who copes with endless life by traveling the cosmos to insult every sentient being in alphabetical order.
-
C.
Infinite in All Directions (book)
Infinite in All Directions is a 1988 book by physicist and mathematician Freeman Dyson that explores cosmology, philosophy, ethics, and the future of humanity through a series of reflective essays and lectures.
-
D.
Surreal numbers
Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
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E.
The Restless Universe
The Restless Universe is a popular science book by physicist Max Born that explains modern physics and quantum theory to a general audience in clear, accessible language.
- 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: Orders of Infinity Target entity description: "Orders of Infinity" is a mathematical treatise by G. H. Hardy that systematically develops the theory of divergent series and the comparative growth rates of functions in analysis.
-
A.
The Infinite Plan
The Infinite Plan is a novel by Isabel Allende that follows the tumultuous life of a man seeking identity and meaning against the backdrop of mid-20th-century American social and political upheaval.
-
B.
Wowbagger the Infinitely Prolonged
Wowbagger the Infinitely Prolonged is a character from Douglas Adams' Hitchhiker's Guide universe, an immortal being who copes with endless life by traveling the cosmos to insult every sentient being in alphabetical order.
-
C.
Infinite in All Directions (book)
Infinite in All Directions is a 1988 book by physicist and mathematician Freeman Dyson that explores cosmology, philosophy, ethics, and the future of humanity through a series of reflective essays and lectures.
-
D.
Surreal numbers
Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
-
E.
The Restless Universe
The Restless Universe is a popular science book by physicist Max Born that explains modern physics and quantum theory to a general audience in clear, accessible language.
- F. None of above. chosen
Statements (31)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematical treatise ⓘ |
| author |
G. H. Hardy
ⓘ
Godfrey Harold Hardy ⓘ
linked to:
G. H. Hardy
|
| authorAffiliation |
University of Cambridge
ⓘ
linked to:
Cambridge University
University of Oxford ⓘ |
| authorOccupation | mathematician ⓘ |
| countryOfOrigin | United Kingdom ⓘ |
| field |
mathematical analysis
ⓘ
mathematics ⓘ |
| genre |
mathematics book
ⓘ
non-fiction ⓘ |
| hasPart |
applications to analysis
ⓘ
theory of divergent series ⓘ theory of orders of infinity ⓘ |
| influenced | development of asymptotic notation in analysis ⓘ |
| influencedBy |
classical analysis
ⓘ
theory of infinite series ⓘ |
| language | English ⓘ |
| mainSubject |
asymptotic analysis
ⓘ
comparative growth rates of functions ⓘ divergent series ⓘ orders of growth of functions ⓘ |
| notAbout |
Cantorian transfinite numbers
ⓘ
set-theoretic cardinalities ⓘ |
| publicationCentury | 20th century ⓘ |
| topic |
asymptotic series
ⓘ
comparison of infinite quantities ⓘ divergent expansions ⓘ growth of functions at infinity ⓘ hierarchies of infinity in analysis ⓘ |
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: Orders of Infinity Description of subject: "Orders of Infinity" is a mathematical treatise by G. H. Hardy that systematically develops the theory of divergent series and the comparative growth rates of functions in analysis.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.