Arithmetic, Algebra, Analysis
E262446
"Arithmetic, Algebra, Analysis" is a foundational mathematics text that systematically develops core topics in number theory, algebraic structures, and real analysis from a rigorous, advanced perspective.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Arithmetic, Algebra, Analysis canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T2408434 — 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: Arithmetic, Algebra, Analysis Context triple: [Elementary Mathematics from an Advanced Standpoint, volume, Arithmetic, Algebra, Analysis]
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A.
Mathematics
"Mathematics" is a politically charged hip-hop track by Mos Def that critiques social injustice, systemic inequality, and the statistical realities of urban life.
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B.
Principles of Mathematics
Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
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C.
The Higher Arithmetic
The Higher Arithmetic is a classic introductory textbook on number theory, widely regarded for its clear exposition and influence on generations of mathematicians.
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D.
Mathematike Syntaxis
Mathematike Syntaxis, better known by its later Arabic-derived title Almagest, is Ptolemy’s foundational astronomical treatise that systematically presents the geocentric model of the cosmos and dominated Western and Islamic astronomy for over a millennium.
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E.
Mathematics and Computation
"Mathematics and Computation" is a book by Avi Wigderson that explores the deep connections between theoretical computer science and mathematics, emphasizing how computational complexity shapes modern mathematical thought.
- 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: Arithmetic, Algebra, Analysis Target entity description: "Arithmetic, Algebra, Analysis" is a foundational mathematics text that systematically develops core topics in number theory, algebraic structures, and real analysis from a rigorous, advanced perspective.
-
A.
Mathematics
"Mathematics" is a politically charged hip-hop track by Mos Def that critiques social injustice, systemic inequality, and the statistical realities of urban life.
-
B.
Principles of Mathematics
Principles of Mathematics is Bertrand Russell’s foundational work in mathematical logic and the philosophy of mathematics, arguing that mathematics can be derived from purely logical principles.
-
C.
The Higher Arithmetic
The Higher Arithmetic is a classic introductory textbook on number theory, widely regarded for its clear exposition and influence on generations of mathematicians.
-
D.
Mathematike Syntaxis
Mathematike Syntaxis, better known by its later Arabic-derived title Almagest, is Ptolemy’s foundational astronomical treatise that systematically presents the geocentric model of the cosmos and dominated Western and Islamic astronomy for over a millennium.
-
E.
Mathematics and Computation
"Mathematics and Computation" is a book by Avi Wigderson that explores the deep connections between theoretical computer science and mathematics, emphasizing how computational complexity shapes modern mathematical thought.
- F. None of above. chosen
Statements (20)
| Predicate | Object |
|---|---|
| instanceOf |
advanced mathematics text
ⓘ
mathematics textbook ⓘ nonfiction book ⓘ |
| approach | rigorous ⓘ |
| coversTopic |
algebra
ⓘ
algebraic structures ⓘ arithmetic ⓘ mathematical analysis ⓘ number theory ⓘ real analysis ⓘ |
| emphasizes |
proof-based learning
ⓘ
theoretical foundations ⓘ |
| field | mathematics ⓘ |
| genre | educational literature ⓘ |
| intendedAudience |
advanced students of mathematics
ⓘ
graduate students in mathematics ⓘ |
| intendedUse |
self-study reference
ⓘ
university textbook ⓘ |
| language | English ⓘ |
| structure | systematic development of topics ⓘ |
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: Arithmetic, Algebra, Analysis Description of subject: "Arithmetic, Algebra, Analysis" is a foundational mathematics text that systematically develops core topics in number theory, algebraic structures, and real analysis from a rigorous, advanced perspective.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.