Was sind und was sollen die Zahlen?
E634839
*Was sind und was sollen die Zahlen?* is a foundational work in the philosophy of mathematics by Richard Dedekind that rigorously investigates the nature and logical basis of numbers.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Was sind und was sollen die Zahlen? canonical | 2 |
How this entity was disambiguated
This entity first appeared as the object of triple T7011059 — 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: Was sind und was sollen die Zahlen? Context triple: [Richard Dedekind, notableWork, Was sind und was sollen die Zahlen?]
-
A.
What is Mathematics?
"What is Mathematics?" is a classic introductory book on mathematics by Richard Courant (with Herbert Robbins) that explains fundamental mathematical ideas and methods to a broad audience with clarity and rigor.
-
B.
Numbers
Numbers is the fourth book of the Hebrew Bible and the Christian Old Testament, recounting the Israelites’ wilderness wanderings and organizing laws and censuses.
-
C.
Numbers
Numbers is Apple's spreadsheet application for macOS and iOS, used to create, analyze, and visualize data in tables and charts.
-
D.
What’s Your Number?
"What’s Your Number?" is a 2011 romantic comedy film starring Anna Faris as a woman who revisits her past relationships in search of her true love.
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E.
Digits
"Digits" is a trap-influenced hip-hop single by Young Thug known for its melodic delivery and distinctive production.
- 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: Was sind und was sollen die Zahlen? Target entity description: *Was sind und was sollen die Zahlen?* is a foundational work in the philosophy of mathematics by Richard Dedekind that rigorously investigates the nature and logical basis of numbers.
-
A.
What is Mathematics?
"What is Mathematics?" is a classic introductory book on mathematics by Richard Courant (with Herbert Robbins) that explains fundamental mathematical ideas and methods to a broad audience with clarity and rigor.
-
B.
Numbers
Numbers is Apple's spreadsheet application for macOS and iOS, used to create, analyze, and visualize data in tables and charts.
-
C.
Numbers
Numbers is the fourth book of the Hebrew Bible and the Christian Old Testament, recounting the Israelites’ wilderness wanderings and organizing laws and censuses.
-
D.
What’s Your Number?
"What’s Your Number?" is a 2011 romantic comedy film starring Anna Faris as a woman who revisits her past relationships in search of her true love.
-
E.
Digits
"Digits" is a trap-influenced hip-hop single by Young Thug known for its melodic delivery and distinctive production.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
book
ⓘ
mathematics monograph ⓘ philosophy of mathematics work ⓘ |
| author | Richard Dedekind ⓘ |
| centralQuestion |
How can numbers be defined purely logically?
ⓘ
What are numbers? ⓘ What is the logical foundation of arithmetic? ⓘ |
| countryOfOrigin | Germany ⓘ |
| focusesOn |
concept of infinity
ⓘ
construction of real numbers ⓘ definition of natural numbers ⓘ logical basis of arithmetic ⓘ set-theoretic methods in arithmetic ⓘ |
| genre |
mathematical treatise
ⓘ
non-fiction ⓘ |
| hasPart |
axiomatic characterization of natural numbers
ⓘ
definition of real numbers via Dedekind cuts ⓘ |
| historicalPeriod | 19th-century mathematics ⓘ |
| influenced |
20th-century foundations of mathematics
ⓘ
Peano arithmetic ⓘ axiomatic set theory ⓘ logicism in the philosophy of mathematics ⓘ |
| introducesConcept |
Dedekind cut
ⓘ
simply infinite system ⓘ |
| mainSubject |
axiomatic foundations
ⓘ
foundations of arithmetic ⓘ
linked to:
Die Grundlagen der Arithmetik
logic of number ⓘ natural numbers ⓘ philosophy of mathematics ⓘ real numbers ⓘ set-theoretic construction of numbers ⓘ |
| mathematicalDiscipline |
analysis
ⓘ
number theory ⓘ set theory ⓘ |
| notableFor |
influence on modern mathematical logic
ⓘ
introduction of Dedekind cuts ⓘ rigorous logical treatment of number ⓘ set-theoretic construction of the reals ⓘ |
| originalLanguage | German ⓘ |
| philosophicalPosition | logicist approach to arithmetic ⓘ |
| publicationYear | 1888 ⓘ |
| relatedThinker |
Bertrand Russell
ⓘ
Giuseppe Peano ⓘ Gottlob Frege ⓘ |
| relatedWork |
Grundlagen der Arithmetik
ⓘ
linked to:
Die Grundlagen der Arithmetik
|
| titleTranslation | What are numbers and what should they be? ⓘ |
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: Was sind und was sollen die Zahlen? Description of subject: *Was sind und was sollen die Zahlen?* is a foundational work in the philosophy of mathematics by Richard Dedekind that rigorously investigates the nature and logical basis of numbers.
Referenced by (2)
Full triples — surface form annotated when it differs from this entity's canonical label.