Hilbert and Ackermann’s "Grundzüge der theoretischen Logik"
E208853
Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" is a foundational early 20th-century textbook that systematically developed first-order logic and helped establish mathematical logic as a rigorous formal discipline.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T1859251 — 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: Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" Context triple: [Hilbert’s program, notableWork, Hilbert and Ackermann’s "Grundzüge der theoretischen Logik"]
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A.
Frege’s system in "Grundgesetze der Arithmetik"
Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
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B.
From a Logical Point of View
From a Logical Point of View is a landmark collection of philosophical essays by W.V.O. Quine that helped reshape analytic philosophy, especially through its critique of the analytic–synthetic distinction and its naturalized approach to epistemology.
-
C.
The Logical Syntax of Language
The Logical Syntax of Language is Rudolf Carnap’s seminal 1934 work that systematically develops a formal, logical framework for analyzing the structure and rules of scientific languages, helping to found logical empiricism and modern philosophy of language.
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D.
Begriffsschrift
Begriffsschrift is Gottlob Frege’s groundbreaking 1879 work that introduced a formal logical notation and is widely regarded as the foundation of modern symbolic logic.
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E.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
- 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: Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" Target entity description: Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" is a foundational early 20th-century textbook that systematically developed first-order logic and helped establish mathematical logic as a rigorous formal discipline.
-
A.
Frege’s system in "Grundgesetze der Arithmetik"
Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
-
B.
From a Logical Point of View
From a Logical Point of View is a landmark collection of philosophical essays by W.V.O. Quine that helped reshape analytic philosophy, especially through its critique of the analytic–synthetic distinction and its naturalized approach to epistemology.
-
C.
The Logical Syntax of Language
The Logical Syntax of Language is Rudolf Carnap’s seminal 1934 work that systematically develops a formal, logical framework for analyzing the structure and rules of scientific languages, helping to found logical empiricism and modern philosophy of language.
-
D.
Begriffsschrift
Begriffsschrift is Gottlob Frege’s groundbreaking 1879 work that introduced a formal logical notation and is widely regarded as the foundation of modern symbolic logic.
-
E.
The Logical Structure of the World
The Logical Structure of the World is Rudolf Carnap’s seminal 1928 work in which he develops a rigorous, formal reconstruction of all scientific concepts from a phenomenalist basis, serving as a foundational text of logical positivism.
- F. None of above. chosen
Statements (48)
| Predicate | Object |
|---|---|
| instanceOf |
logic textbook
ⓘ
mathematics book ⓘ non‑fiction book ⓘ |
| author |
David Hilbert
ⓘ
Wilhelm Ackermann ⓘ |
| contribution |
helped establish mathematical logic as a rigorous formal discipline
ⓘ
influenced the formalization of logical consequence and derivability ⓘ standardized the modern notion of first‑order predicate calculus ⓘ systematic development of first‑order logic ⓘ |
| countryOfOrigin | Germany ⓘ |
| describedAs |
classic work in first‑order logic
ⓘ
foundational textbook in mathematical logic ⓘ |
| era |
Hilbert program in the foundations of mathematics
ⓘ
linked to:
Hilbert’s program
|
| field |
first‑order logic
ⓘ
foundations of mathematics ⓘ mathematical logic ⓘ proof theory ⓘ |
| hasEdition |
later revised editions in the 20th century
ⓘ
second edition 1938 ⓘ |
| hasEnglishEdition | Principles of Mathematical Logic ⓘ |
| historicalPeriod | early 20th century ⓘ |
| influenced |
Alan Turing
ⓘ
Alonzo Church ⓘ Gerhard Gentzen ⓘ Haskell Curry ⓘ Kurt Gödel ⓘ mid‑20th‑century textbooks in mathematical logic ⓘ |
| influencedField |
model theory
ⓘ
philosophy of logic ⓘ proof theory ⓘ recursion theory ⓘ |
| language | German ⓘ |
| notableFor |
clear axiomatic presentation of first‑order logic
ⓘ
influential formal notation for quantifiers and variables ⓘ |
| originalTitle |
Grundzüge der theoretischen Logik
ⓘ
linked to:
"Grundzüge der theoretischen Logik"
|
| placeOfPublication | Berlin ⓘ |
| publicationYear | 1928 ⓘ |
| publisher | Springer ⓘ |
| relatedTo |
Hilbert’s program
ⓘ
formalism in the philosophy of mathematics ⓘ |
| topic |
axiomatic method
ⓘ
completeness and consistency questions ⓘ formal deduction systems ⓘ predicate logic ⓘ propositional logic ⓘ quantification theory ⓘ |
| translatedAs | Principles of Mathematical Logic ⓘ |
| usedIn | university‑level courses in logic ⓘ |
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: Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" Description of subject: Hilbert and Ackermann’s "Grundzüge der theoretischen Logik" is a foundational early 20th-century textbook that systematically developed first-order logic and helped establish mathematical logic as a rigorous formal discipline.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.