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.