Concepts of Modern Mathematics
E589561
Concepts of Modern Mathematics is a popular mathematics book by Ian Stewart that introduces key ideas of modern math—such as set theory, logic, topology, and abstract algebra—to a general audience in an accessible, non-technical way.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Concepts of Modern Mathematics canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6389512 — 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: Concepts of Modern Mathematics Context triple: [Ian Stewart, notableWork, Concepts of Modern Mathematics]
-
A.
Elementary Mathematics from an Advanced Standpoint
"Elementary Mathematics from an Advanced Standpoint" is a classic three-volume work by Felix Klein that reexamines school-level mathematics through the lens of modern, rigorous mathematical theory and pedagogy.
-
B.
Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics
Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics is a philosophical and foundational study in which Friedrich Waismann analyzes how mathematical concepts are formed, clarified, and used in modern mathematics.
-
C.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
-
D.
A Course of Pure Mathematics
A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
-
E.
A Mathematician's Apology
A Mathematician's Apology is G. H. Hardy’s classic reflective essay that defends the aesthetic value of pure mathematics and offers a candid, personal account of the mathematician’s life and creative process.
- 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: Concepts of Modern Mathematics Target entity description: Concepts of Modern Mathematics is a popular mathematics book by Ian Stewart that introduces key ideas of modern math—such as set theory, logic, topology, and abstract algebra—to a general audience in an accessible, non-technical way.
-
A.
Elementary Mathematics from an Advanced Standpoint
"Elementary Mathematics from an Advanced Standpoint" is a classic three-volume work by Felix Klein that reexamines school-level mathematics through the lens of modern, rigorous mathematical theory and pedagogy.
-
B.
Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics
Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics is a philosophical and foundational study in which Friedrich Waismann analyzes how mathematical concepts are formed, clarified, and used in modern mathematics.
-
C.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
-
D.
A Course of Pure Mathematics
A Course of Pure Mathematics is a classic early 20th-century textbook that rigorously introduces the foundations of mathematical analysis and helped shape modern university-level mathematics education.
-
E.
A Mathematician's Apology
A Mathematician's Apology is G. H. Hardy’s classic reflective essay that defends the aesthetic value of pure mathematics and offers a candid, personal account of the mathematician’s life and creative process.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
popular mathematics book ⓘ |
| aimsTo |
demystify modern mathematics for non-specialists
ⓘ
show unity of different mathematical fields ⓘ |
| audience | general audience ⓘ |
| author | Ian Stewart ⓘ |
| countryOfOrigin | United Kingdom ⓘ |
| covers | historical context of modern mathematics ⓘ |
| educationalLevel | undergraduate-level background or advanced high-school ⓘ |
| explains |
axiomatic method
ⓘ
cardinality ⓘ combinatorial reasoning ⓘ fields ⓘ graphs ⓘ groups ⓘ infinite sets ⓘ mathematical proof ⓘ probability distributions ⓘ rings ⓘ topological spaces ⓘ |
| genre |
mathematics
ⓘ
non-fiction ⓘ popular science ⓘ |
| hasFormat |
hardcover
ⓘ
paperback ⓘ print ⓘ |
| hasPerspective | conceptual overview rather than technical detail ⓘ |
| hasReputation | classic popular mathematics text ⓘ |
| intendedUse | introduction to modern mathematics ⓘ |
| language | English ⓘ |
| relatedTo |
discrete mathematics
ⓘ
foundations of mathematics ⓘ mathematical logic ⓘ |
| relatedWorkByAuthor |
Does God Play Dice?
ⓘ
linked to:
essay "Does God Play Dice?"
Game, Set and Math ⓘ |
| subject |
abstract algebra
ⓘ
combinatorics ⓘ logic ⓘ modern mathematics ⓘ number theory ⓘ probability ⓘ set theory ⓘ topology ⓘ |
| writingStyle |
accessible
ⓘ
non-technical ⓘ |
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: Concepts of Modern Mathematics Description of subject: Concepts of Modern Mathematics is a popular mathematics book by Ian Stewart that introduces key ideas of modern math—such as set theory, logic, topology, and abstract algebra—to a general audience in an accessible, non-technical way.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.