Triple
T10055634
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Grundzüge der theoretischen Logik |
E208853
|
entity |
| Predicate | translatedAs |
P15
|
FINISHED |
| Object |
Principles of Mathematical Logic
Principles of Mathematical Logic is a foundational work in mathematical logic by David Hilbert and Wilhelm Ackermann that systematically develops the formal underpinnings of logical reasoning and proof theory.
|
E838589
|
NE FINISHED |
How this triple was built (4 steps)
Every LLM step that produced this triple, in pipeline order — named-entity classification, the disambiguation choices (the exact options shown, with the pick highlighted), and the generated description. The batch + timestamp of each is in the Provenance table below.
NER
Named-entity recognition
gpt-5-mini
Instruction
Given a phrase, classify it is english named entity (e.g., persons, organizations, works of art) in Latin script, or not (e.g., literals, dates, URLs, verbose phrases). For disambiguation, the statement where the phrase occurs as object is also given. Please return a JSON object with `phrase` (string, the phrase being analyzed) and `is_ne` (boolean, indicating whether the phrase is a Named Entity).
Input
Phrase: Principles of Mathematical Logic | Statement: [Grundzüge der theoretischen Logik, translatedAs, Principles of Mathematical Logic]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Principles of Mathematical Logic Context triple: [Grundzüge der theoretischen Logik, translatedAs, Principles of Mathematical Logic]
-
A.
Introduction to Metamathematics
Introduction to Metamathematics is a classic 1952 textbook by Stephen Kleene that systematically develops the foundations of mathematical logic and recursion theory.
-
B.
New Foundations for Mathematical Logic
New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
-
C.
Grundgesetze der Arithmetik, Volume I
Grundgesetze der Arithmetik, Volume I is Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he develops his formal system aimed at deriving arithmetic from purely logical principles.
-
D.
Arithmetices principia, nova methodo exposita
Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
-
E.
From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931
From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931 is a landmark anthology that collects and translates many of the foundational papers in modern mathematical logic from the late 19th to early 20th century.
- F. None of above. chosen
- G. Unsure - the case is ambiguous/there is not enough information to decide.
NEDg
Description generation
gpt-5.1
Instruction
Generate a one-sentence description of the target entity. You are given a context triple in the form (subject, predicate, object), where the object is the target entity. # Instructions Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. Avoid repeating the information from the triple, unless really essential. # Response Format Return only the sentence: "Description: [one-sentence description of the target entity]"
Input
Entity: Principles of Mathematical Logic Triple: [Grundzüge der theoretischen Logik, translatedAs, Principles of Mathematical Logic]
Generated description
Principles of Mathematical Logic is a foundational work in mathematical logic by David Hilbert and Wilhelm Ackermann that systematically develops the formal underpinnings of logical reasoning and proof theory.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Principles of Mathematical Logic Target entity description: Principles of Mathematical Logic is a foundational work in mathematical logic by David Hilbert and Wilhelm Ackermann that systematically develops the formal underpinnings of logical reasoning and proof theory.
-
A.
Introduction to Metamathematics
Introduction to Metamathematics is a classic 1952 textbook by Stephen Kleene that systematically develops the foundations of mathematical logic and recursion theory.
-
B.
New Foundations for Mathematical Logic
New Foundations for Mathematical Logic is W.V.O. Quine’s influential essay proposing an alternative set theory, known as "New Foundations," aimed at resolving paradoxes while preserving a broad, intuitive universe of sets.
-
C.
Grundgesetze der Arithmetik, Volume I
Grundgesetze der Arithmetik, Volume I is Gottlob Frege’s foundational work in logic and the philosophy of mathematics, in which he develops his formal system aimed at deriving arithmetic from purely logical principles.
-
D.
Arithmetices principia, nova methodo exposita
Arithmetices principia, nova methodo exposita is Giuseppe Peano’s foundational work in mathematical logic that presents an axiomatization of arithmetic using symbolic notation.
-
E.
From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931
From Frege to Gödel: A Source Book in Mathematical Logic, 1879–1931 is a landmark anthology that collects and translates many of the foundational papers in modern mathematical logic from the late 19th to early 20th century.
- F. None of above. chosen
Provenance (5 batches)
The batch behind each pipeline step, in order, with when it ran. Timestamps are batch-level — stages were processed in waves, so the object chain (NER → NED1 → NEDg → NED2) reads in order, but predicate / elicitation batches can sit in a different wave.
| Step | Stage | Batch ID | Status | When |
|---|---|---|---|---|
| creating | Elicitation | batch_69ca836094408190a36a1ea7e9a86fcd |
completed | March 30, 2026, 2:06 p.m. |
| NER | Named-entity recognition | batch_69cdcfacacd08190abe66f8bb17b92c7 |
completed | April 2, 2026, 2:08 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69d29a49cb208190b56d991a523efbac |
completed | April 5, 2026, 5:22 p.m. |
| NEDg | Description generation | batch_69d29b7430248190b8965eaf1286dd7c |
completed | April 5, 2026, 5:27 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69d29c7ba9f081908f4614098d6c954b |
completed | April 5, 2026, 5:31 p.m. |
Created at: March 30, 2026, 8:57 p.m.