Experiencing Mathematics
E1007449
Experiencing Mathematics is a philosophical and reflective book by Reuben Hersh that explores the human, social, and experiential nature of mathematical practice.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Experiencing Mathematics canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T12852831 — 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: Experiencing Mathematics Context triple: [Reuben Hersh, notableWork, Experiencing Mathematics]
-
A.
The Mathematical Experience
The Mathematical Experience is a widely acclaimed book that explores the nature, history, philosophy, and human side of mathematics in an accessible and reflective way.
-
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.
Mathematical Discovery
"Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
-
D.
The Computer as a Medium for Exploring Mathematics
The Computer as a Medium for Exploring Mathematics is the subtitle of the book *Turtle Geometry*, which explores mathematical ideas through computer-based turtle graphics and interactive experimentation.
-
E.
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.
- 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: Experiencing Mathematics Target entity description: Experiencing Mathematics is a philosophical and reflective book by Reuben Hersh that explores the human, social, and experiential nature of mathematical practice.
-
A.
The Mathematical Experience
The Mathematical Experience is a widely acclaimed book that explores the nature, history, philosophy, and human side of mathematics in an accessible and reflective way.
-
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.
Mathematical Discovery
"Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
-
D.
The Computer as a Medium for Exploring Mathematics
The Computer as a Medium for Exploring Mathematics is the subtitle of the book *Turtle Geometry*, which explores mathematical ideas through computer-based turtle graphics and interactive experimentation.
-
E.
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.
- F. None of above. chosen
Statements (41)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
non-fiction book ⓘ philosophy of mathematics book ⓘ |
| author | Reuben Hersh ⓘ |
| discusses |
the community aspects of validation in mathematics
ⓘ
the nature of mathematical objects ⓘ the process of mathematical discovery ⓘ the relationship between proof and conviction ⓘ the status of mathematical truth ⓘ |
| explores |
how mathematicians experience their work
ⓘ
the culture of the mathematical community ⓘ the practice of doing mathematics ⓘ the role of intuition in mathematics ⓘ the role of proof in mathematics ⓘ the social construction of mathematical knowledge ⓘ |
| focusesOn |
experiential nature of mathematics
ⓘ
human nature of mathematical activity ⓘ social nature of mathematical activity ⓘ |
| genre |
essay collection
ⓘ
mathematics ⓘ philosophy of mathematics ⓘ |
| hasAuthorProfession |
mathematician
ⓘ
philosopher of mathematics ⓘ |
| hasPerspective |
fallibilist philosophy of mathematics
ⓘ
humanistic view of mathematics ⓘ |
| hasTheme |
experience of doing mathematics
ⓘ
mathematics as a human activity ⓘ mathematics as a social enterprise ⓘ philosophical reflection on mathematics ⓘ |
| intendedAudience |
general readers interested in mathematics
ⓘ
mathematicians ⓘ philosophers of mathematics ⓘ students of mathematics ⓘ |
| language | English ⓘ |
| relatedWorkByAuthor | What Is Mathematics, Really? ⓘ |
| subject |
human aspects of mathematics
ⓘ
mathematical practice ⓘ mathematics ⓘ philosophy of mathematics ⓘ social aspects of mathematics ⓘ sociology of mathematics ⓘ |
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: Experiencing Mathematics Description of subject: Experiencing Mathematics is a philosophical and reflective book by Reuben Hersh that explores the human, social, and experiential nature of mathematical practice.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.