Triple

T4492952
Position Surface form Disambiguated ID Type / Status
Subject constructible universe E100621 entity
Predicate hasReferenceWork P48731 FINISHED
Object Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"
Gödel's 1940 monograph "The Consistency of the Continuum Hypothesis" is a landmark work in set theory that introduced the constructible universe (L) and proved that the Continuum Hypothesis and the Axiom of Choice are consistent with Zermelo–Fraenkel set theory, assuming ZF itself is consistent.
E446860 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: Gödel 1940 monograph "The Consistency of the Continuum Hypothesis" | Statement: [constructible universe, hasReferenceWork, Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"
Context triple: [constructible universe, hasReferenceWork, Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"]
  • A. 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.
  • 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. Untersuchungen über die Grundlagen der Mengenlehre
    Untersuchungen über die Grundlagen der Mengenlehre is Ernst Zermelo’s foundational work in set theory, in which he formulated and axiomatized key principles that shaped modern axiomatic set theory.
  • D. 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.
  • E. Gödel's ontological proof
    Gödel's ontological proof is a formal, modal-logic-based argument for the existence of God that rigorously develops and refines earlier ontological arguments within a precise axiomatic framework.
  • 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: Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"
Triple: [constructible universe, hasReferenceWork, Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"]
Generated description
Gödel's 1940 monograph "The Consistency of the Continuum Hypothesis" is a landmark work in set theory that introduced the constructible universe (L) and proved that the Continuum Hypothesis and the Axiom of Choice are consistent with Zermelo–Fraenkel set theory, assuming ZF itself is consistent.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Gödel 1940 monograph "The Consistency of the Continuum Hypothesis"
Target entity description: Gödel's 1940 monograph "The Consistency of the Continuum Hypothesis" is a landmark work in set theory that introduced the constructible universe (L) and proved that the Continuum Hypothesis and the Axiom of Choice are consistent with Zermelo–Fraenkel set theory, assuming ZF itself is consistent.
  • A. 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.
  • 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. Untersuchungen über die Grundlagen der Mengenlehre
    Untersuchungen über die Grundlagen der Mengenlehre is Ernst Zermelo’s foundational work in set theory, in which he formulated and axiomatized key principles that shaped modern axiomatic set theory.
  • D. 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.
  • E. Gödel's ontological proof
    Gödel's ontological proof is a formal, modal-logic-based argument for the existence of God that rigorously develops and refines earlier ontological arguments within a precise axiomatic framework.
  • 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_69bd43cdf15081909a4fa2585ff63b3e completed March 20, 2026, 12:55 p.m.
NER Named-entity recognition batch_69bd5570ba0881908f5fb4f8d0730e64 completed March 20, 2026, 2:10 p.m.
NED1 Entity disambiguation (via context triple) batch_69bd67b40fd4819098636b6f29304312 completed March 20, 2026, 3:28 p.m.
NEDg Description generation batch_69bd688e84fc8190a8900be40e3cf694 completed March 20, 2026, 3:32 p.m.
NED2 Entity disambiguation (via description) batch_69bd69bcf10c8190bd6ceb6bc604b3f5 completed March 20, 2026, 3:37 p.m.
Created at: March 20, 2026, 12:59 p.m.