Mathematical Discovery
E637313
"Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Mathematical Discovery canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T7030852 — 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: Mathematical Discovery Context triple: [George Pólya, notableWork, Mathematical Discovery]
-
A.
Concepts of Modern Mathematics
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.
-
B.
Die mathematische Denkweise
"Die mathematische Denkweise" is a work by mathematician Andreas Speiser that explores the nature, structure, and philosophy of mathematical thinking.
-
C.
The Great Mathematical Problems
The Great Mathematical Problems is a popular mathematics book by Ian Stewart that explores some of the most famous unsolved and historically significant problems in mathematics for a general audience.
-
D.
Dialogues on Mathematics
Dialogues on Mathematics is a popular science book by Hungarian mathematician Alfréd Rényi that presents key mathematical ideas through fictional conversations.
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E.
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.
- 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: Mathematical Discovery Target entity description: "Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
-
A.
Concepts of Modern Mathematics
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.
-
B.
Die mathematische Denkweise
"Die mathematische Denkweise" is a work by mathematician Andreas Speiser that explores the nature, structure, and philosophy of mathematical thinking.
-
C.
The Great Mathematical Problems
The Great Mathematical Problems is a popular mathematics book by Ian Stewart that explores some of the most famous unsolved and historically significant problems in mathematics for a general audience.
-
D.
Dialogues on Mathematics
Dialogues on Mathematics is a popular science book by Hungarian mathematician Alfréd Rényi that presents key mathematical ideas through fictional conversations.
-
E.
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.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics book ⓘ |
| aimsTo |
clarify the nature of mathematical discovery
ⓘ
help readers become better problem solvers ⓘ |
| author | George Pólya NERFINISHED ⓘ |
| countryOfOrigin |
United States of America
ⓘ
surface form:
United States
|
| explores |
analogical reasoning in mathematics
ⓘ
creative aspects of mathematics ⓘ inductive reasoning in mathematics ⓘ patterns of reasoning in mathematics ⓘ process of formulating and testing hypotheses ⓘ processes of mathematical thinking ⓘ role of conjectures in mathematics ⓘ role of experimentation in mathematics ⓘ |
| field | mathematics ⓘ |
| focusesOn |
heuristic methods
ⓘ
methods of solving mathematical problems ⓘ strategies for mathematical discovery ⓘ |
| genre |
educational literature
ⓘ
mathematics ⓘ |
| hasForm | expository prose ⓘ |
| hasInfluenced |
mathematics education
ⓘ
problem-solving pedagogy ⓘ |
| hasPart |
Mathematical Discovery, Volume I
NERFINISHED
ⓘ
Mathematical Discovery, Volume II NERFINISHED ⓘ |
| intendedAudience |
general readers interested in mathematics
ⓘ
students of mathematics ⓘ teachers of mathematics ⓘ |
| isContinuationOf | How to Solve It NERFINISHED ⓘ |
| language | English ⓘ |
| mainSubject |
discovery in mathematics
ⓘ
heuristic reasoning ⓘ mathematical heuristics ⓘ mathematical problem solving ⓘ |
| notableFor |
influence on problem-solving instruction in schools
ⓘ
systematic treatment of mathematical heuristics ⓘ |
| numberOfVolumes | 2 ⓘ |
| relatedAuthor | George Pólya NERFINISHED ⓘ |
| relatedWork | How to Solve It NERFINISHED ⓘ |
| subfield |
mathematical pedagogy
ⓘ
mathematics education ⓘ |
| teaches |
heuristic principles
ⓘ
problem-solving strategies ⓘ |
| uses |
numerous worked examples
ⓘ
problems and exercises ⓘ |
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: Mathematical Discovery Description of subject: "Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.