Incompleteness: The Proof and Paradox of Kurt Gödel
E725908
Incompleteness: The Proof and Paradox of Kurt Gödel is a biographical and philosophical study that intertwines Kurt Gödel’s life with an accessible exploration of his incompleteness theorems and their broader intellectual implications.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Incompleteness: The Proof and Paradox of Kurt Gödel canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T8321840 — 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: Incompleteness: The Proof and Paradox of Kurt Gödel Context triple: [Rebecca Goldstein, notableWork, Incompleteness: The Proof and Paradox of Kurt Gödel]
-
A.
The Undecidable
The Undecidable is a classic anthology edited by Martin Davis that collects foundational papers on computability, Gödel’s incompleteness theorems, and the limits of formal mathematical systems.
-
B.
Gödel's incompleteness theorems
Gödel's incompleteness theorems are two fundamental results in mathematical logic showing that any sufficiently powerful, consistent formal system cannot prove all true statements about arithmetic, and cannot prove its own consistency.
-
C.
Gödel, Escher, Bach
Gödel, Escher, Bach is a Pulitzer Prize–winning interdisciplinary book by Douglas Hofstadter that explores deep connections between mathematics, art, music, and human consciousness.
-
D.
Uncle Petros and Goldbach’s Conjecture
Uncle Petros and Goldbach’s Conjecture is a novel that blends mathematical history and fiction to explore obsession, genius, and the pursuit of an unsolved problem in number theory.
-
E.
Everything and More: A Compact History of Infinity
"Everything and More: A Compact History of Infinity" is a non-fiction book by David Foster Wallace that explores the mathematical concept of infinity through a blend of rigorous exposition, historical narrative, and the author’s distinctive literary style.
- 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: Incompleteness: The Proof and Paradox of Kurt Gödel Target entity description: Incompleteness: The Proof and Paradox of Kurt Gödel is a biographical and philosophical study that intertwines Kurt Gödel’s life with an accessible exploration of his incompleteness theorems and their broader intellectual implications.
-
A.
The Undecidable
The Undecidable is a classic anthology edited by Martin Davis that collects foundational papers on computability, Gödel’s incompleteness theorems, and the limits of formal mathematical systems.
-
B.
Gödel's incompleteness theorems
Gödel's incompleteness theorems are two fundamental results in mathematical logic showing that any sufficiently powerful, consistent formal system cannot prove all true statements about arithmetic, and cannot prove its own consistency.
-
C.
Gödel, Escher, Bach
Gödel, Escher, Bach is a Pulitzer Prize–winning interdisciplinary book by Douglas Hofstadter that explores deep connections between mathematics, art, music, and human consciousness.
-
D.
Uncle Petros and Goldbach’s Conjecture
Uncle Petros and Goldbach’s Conjecture is a novel that blends mathematical history and fiction to explore obsession, genius, and the pursuit of an unsolved problem in number theory.
-
E.
Everything and More: A Compact History of Infinity
"Everything and More: A Compact History of Infinity" is a non-fiction book by David Foster Wallace that explores the mathematical concept of infinity through a blend of rigorous exposition, historical narrative, and the author’s distinctive literary style.
- F. None of above. chosen
Statements (45)
| Predicate | Object |
|---|---|
| instanceOf |
biography
ⓘ
book ⓘ |
| about |
Gödel's intellectual context
ⓘ
Gödel's life ⓘ implications of incompleteness theorems ⓘ |
| author | Rebecca Goldstein ⓘ |
| authorName |
Rebecca Newberger Goldstein
ⓘ
linked to:
Rebecca Goldstein
|
| countryOfOrigin |
United States
ⓘ
linked to:
United States of America
|
| explains |
first incompleteness theorem
ⓘ
linked to:
Gödel's incompleteness theorems
second incompleteness theorem ⓘ
linked to:
Gödel's incompleteness theorems
|
| featuresPerson |
Albert Einstein
ⓘ
members of the Vienna Circle ⓘ |
| genre |
biography
ⓘ
history of mathematics ⓘ philosophy ⓘ |
| hasParatext |
bibliography
ⓘ
index ⓘ notes ⓘ |
| hasSubject |
Platonism in mathematics
ⓘ
Vienna Circle ⓘ logical positivism ⓘ relationship between logic and human rationality ⓘ |
| intendedAudience |
general readers
ⓘ
readers interested in mathematics and philosophy ⓘ |
| language | English ⓘ |
| mainSubject |
Gödel's incompleteness theorems
ⓘ
Kurt Gödel ⓘ logic ⓘ philosophy of mathematics ⓘ |
| mediaType |
hardcover
ⓘ
paperback ⓘ print ⓘ |
| narrativeStyle | interweaves biography and exposition of ideas ⓘ |
| notableFor |
accessible explanation of Gödel's incompleteness theorems
ⓘ
combining biography with philosophy of mathematics ⓘ |
| philosophicalPerspective | sympathetic to Gödel's rationalism and Platonism ⓘ |
| publicationYear | 2005 ⓘ |
| publisher | W. W. Norton & Company ⓘ |
| series |
Great Discoveries series
ⓘ
linked to:
Great Discoveries
|
| setting |
20th-century Europe
ⓘ
Princeton ⓘ |
| topic |
foundations of mathematics
ⓘ
history of logic ⓘ mathematical logic ⓘ philosophy of mind ⓘ |
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: Incompleteness: The Proof and Paradox of Kurt Gödel Description of subject: Incompleteness: The Proof and Paradox of Kurt Gödel is a biographical and philosophical study that intertwines Kurt Gödel’s life with an accessible exploration of his incompleteness theorems and their broader intellectual implications.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.