Untersuchungen über das logische Schließen
E846924
Untersuchungen über das logische Schließen is Gerhard Gentzen’s landmark 1934–35 work that founded structural proof theory and introduced natural deduction and sequent calculus.
All labels observed (1)
| Label | Occurrences |
|---|---|
| Untersuchungen über das logische Schließen canonical | 1 |
How this entity was disambiguated
This entity first appeared as the object of triple T10198007 — 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.
Target entity: Untersuchungen über das logische Schließen Context triple: [Gerhard Gentzen, notableWork, Untersuchungen über das logische Schließen]
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A.
On a Problem of Formal Logic
"On a Problem of Formal Logic" is a seminal philosophical and mathematical paper by F. P. Ramsey that contributed to the foundations of logic and helped inspire what is now known as Ramsey theory.
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B.
Hilbert and Ackermann’s "Grundzüge der theoretischen Logik"
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.
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C.
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.
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D.
Logische Studien
Logische Studien is a philosophical work by Friedrich Albert Lange that explores issues in logic and the foundations of knowledge within the broader context of his neo-Kantian thought.
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E.
Recherches sur la théorie de la démonstration
Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
Target entity: Untersuchungen über das logische Schließen Target entity description: Untersuchungen über das logische Schließen is Gerhard Gentzen’s landmark 1934–35 work that founded structural proof theory and introduced natural deduction and sequent calculus.
-
A.
On a Problem of Formal Logic
"On a Problem of Formal Logic" is a seminal philosophical and mathematical paper by F. P. Ramsey that contributed to the foundations of logic and helped inspire what is now known as Ramsey theory.
-
B.
Hilbert and Ackermann’s "Grundzüge der theoretischen Logik"
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.
-
C.
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.
-
D.
Logische Studien
Logische Studien is a philosophical work by Friedrich Albert Lange that explores issues in logic and the foundations of knowledge within the broader context of his neo-Kantian thought.
-
E.
Recherches sur la théorie de la démonstration
Recherches sur la théorie de la démonstration is Jacques Herbrand’s foundational work in mathematical logic, introducing key results in proof theory and what is now known as Herbrand’s theorem.
- F. None of above. chosen
Statements (46)
| Predicate | Object |
|---|---|
| instanceOf |
scholarly article
ⓘ
work in proof theory ⓘ |
| aim |
to analyze the structure of logical inference
ⓘ
to provide rigorous systems for logical deduction ⓘ |
| author | Gerhard Gentzen NERFINISHED ⓘ |
| authorAffiliation | University of Göttingen NERFINISHED ⓘ |
| cites |
David Hilbert
NERFINISHED
ⓘ
Jan Łukasiewicz NERFINISHED ⓘ Paul Bernays NERFINISHED ⓘ |
| contributedTo | foundations of structural proof theory NERFINISHED ⓘ |
| countryOfOrigin | Germany ⓘ |
| era | 1930s logic ⓘ |
| field |
mathematical logic
ⓘ
proof theory ⓘ |
| focusesOn |
formalization of logical inference
ⓘ
rules of inference for logical connectives ⓘ structural properties of proofs ⓘ |
| hasEnglishTitle | Investigations into Logical Deduction NERFINISHED ⓘ |
| hasKeyConcept |
introduction and elimination rules
ⓘ
proof transformation ⓘ sequents ⓘ structural rules ⓘ |
| hasPart |
first paper on natural deduction
ⓘ
second paper on sequent calculus ⓘ |
| historicalSignificance |
foundational work in 20th-century logic
ⓘ
standard reference in proof theory ⓘ |
| influenced |
automated theorem proving
ⓘ
modern proof theory ⓘ philosophy of logic ⓘ type theory NERFINISHED ⓘ |
| introduced |
natural deduction calculus
NERFINISHED
ⓘ
sequent calculus ⓘ structural rules in sequent calculus ⓘ |
| logicSystemType |
classical logic
ⓘ
intuitionistic logic NERFINISHED ⓘ |
| method |
axiomatic and rule-based presentation of logic
ⓘ
formal proof systems ⓘ |
| originalLanguage | German ⓘ |
| publicationYear |
1934
ⓘ
1935 ⓘ |
| publishedIn | Mathematische Zeitschrift NERFINISHED ⓘ |
| topic |
formal deduction systems
ⓘ
logical consequence ⓘ natural deduction ⓘ sequent calculus ⓘ structural proof theory ⓘ |
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Subject: Untersuchungen über das logische Schließen Description of subject: Untersuchungen über das logische Schließen is Gerhard Gentzen’s landmark 1934–35 work that founded structural proof theory and introduced natural deduction and sequent calculus.
Referenced by (1)
Full triples — surface form annotated when it differs from this entity's canonical label.