Mathematical Discovery

E637313

book mathematics book

"Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.

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All labels observed (3)

Label	Occurrences
Mathematical Discovery canonical	2
Mathematical Discovery, Volume I	1
Mathematical Discovery, Volume II	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.
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 ⓘ
countryOfOrigin	United States ⓘ linked to: United States of America
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 ⓘ linked to: Mathematical Discovery Mathematical Discovery, Volume II ⓘ linked to: Mathematical Discovery
intendedAudience	general readers interested in mathematics ⓘ students of mathematics ⓘ teachers of mathematics ⓘ
isContinuationOf	How to Solve It ⓘ
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 ⓘ
relatedWork	How to Solve It ⓘ
subfield	mathematical pedagogy ⓘ mathematics education ⓘ
teaches	heuristic principles ⓘ problem-solving strategies ⓘ
uses	numerous worked examples ⓘ problems and exercises ⓘ

How these facts were elicited

Referenced by (4)

Full triples — surface form annotated when it differs from this entity's canonical label.

George Pólya → notableWork → Mathematical Discovery ⓘ

Problems and Theorems in Analysis (with George Pólya) → relatedWork → Mathematical Discovery ⓘ

Mathematical Discovery → hasPart → Mathematical Discovery, Volume I ⓘ

linked to: Mathematical Discovery

Mathematical Discovery → hasPart → Mathematical Discovery, Volume II ⓘ