Die mathematische Denkweise
E599909
"Die mathematische Denkweise" is a work by mathematician Andreas Speiser that explores the nature, structure, and philosophy of mathematical thinking.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Die mathematische Denkweise canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T6624427 — 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: Die mathematische Denkweise Context triple: [Andreas Speiser, notableWork, Die mathematische Denkweise]
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A.
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.
-
B.
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.
-
C.
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.
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D.
Die Grundlagen der Arithmetik
Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
-
E.
Indiscrete Thoughts
Indiscrete Thoughts is a collection of essays by mathematician Gian-Carlo Rota, blending personal reflections, philosophical insights, and commentary on the practice and culture of 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: Die mathematische Denkweise Target entity description: "Die mathematische Denkweise" is a work by mathematician Andreas Speiser that explores the nature, structure, and philosophy of mathematical thinking.
-
A.
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.
-
B.
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.
-
C.
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.
-
D.
Die Grundlagen der Arithmetik
Die Grundlagen der Arithmetik is Gottlob Frege’s seminal philosophical work that lays the logical foundations of arithmetic and advances the logicist thesis that arithmetic is reducible to pure logic.
-
E.
Indiscrete Thoughts
Indiscrete Thoughts is a collection of essays by mathematician Gian-Carlo Rota, blending personal reflections, philosophical insights, and commentary on the practice and culture of mathematics.
- F. None of above. chosen
Statements (44)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics book ⓘ |
| aim |
to analyze the structure of mathematical theories
ⓘ
to clarify the nature of mathematical thought ⓘ to relate mathematics to general philosophy ⓘ |
| author | Andreas Speiser ⓘ |
| countryOfOrigin | Switzerland ⓘ |
| fieldOfStudy |
epistemology of mathematics
ⓘ
mathematics ⓘ philosophy ⓘ |
| genre |
history of mathematics
ⓘ
philosophy of mathematics ⓘ |
| hasPart |
discussion of axioms and systems
ⓘ
discussion of causality and lawfulness in mathematics ⓘ discussion of mathematical structures ⓘ discussion of mathematical symbolism ⓘ discussion of space and geometry ⓘ discussion of the concept of number ⓘ historical reflections on mathematical development ⓘ |
| influencedBy |
19th-century mathematics
ⓘ
classical Greek mathematics ⓘ early 20th-century foundations of mathematics ⓘ |
| intendedAudience |
mathematicians
ⓘ
philosophers of mathematics ⓘ students of mathematics ⓘ |
| language | German ⓘ |
| mainSubject |
abstraction in mathematics
ⓘ
axiomatic method ⓘ foundations of mathematics ⓘ infinity in mathematics ⓘ mathematical logic ⓘ mathematical proof ⓘ mathematical thinking ⓘ nature of mathematics ⓘ philosophical aspects of mathematics ⓘ rigor in mathematics ⓘ structure of mathematical thought ⓘ symbolic representation in mathematics ⓘ |
| notableFor |
integration of historical and philosophical perspectives on mathematics
ⓘ
reflection on abstraction and symbolism in mathematics ⓘ systematic treatment of mathematical thinking ⓘ |
| philosophicalApproach |
critical analysis of mathematical concepts
ⓘ
rationalism ⓘ structuralism in 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: Die mathematische Denkweise Description of subject: "Die mathematische Denkweise" is a work by mathematician Andreas Speiser that explores the nature, structure, and philosophy of mathematical thinking.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.