Triple

T3478144
Position Surface form Disambiguated ID Type / Status
Subject Curry paradox E73424 entity
Predicate arisesIn P48990 FINISHED
Object naive set theory
Naive set theory is an early, intuitive approach to set theory that treats any definable collection as a set, but is known to be inconsistent due to paradoxes such as Russell’s and Curry’s.
E361579 NE FINISHED

How this triple was built (5 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: naive set theory | Statement: [Curry paradox, arisesIn, naive set theory]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: naive set theory
Context triple: [Curry paradox, arisesIn, naive set theory]
  • A. set theory
    Set theory is a foundational branch of mathematical logic that studies collections of objects, called sets, and underpins much of modern mathematics.
  • B. Zermelo–Fraenkel set theory
    Zermelo–Fraenkel set theory is the standard axiomatic framework for modern set theory, designed to avoid paradoxes and provide a rigorous foundation for much of mathematics.
  • C. Zermelo set theory
    Zermelo set theory is an early axiomatic system for set theory, introduced by Ernst Zermelo to rigorously formalize the concept of sets and avoid known paradoxes.
  • D. von Neumann universe
    The von Neumann universe is a cumulative, well-founded hierarchy of sets used as a standard model of the set-theoretic universe in axiomatic set theory.
  • E. von Neumann–Bernays–Gödel set theory
    Von Neumann–Bernays–Gödel set theory is an axiomatic set theory extending Zermelo–Fraenkel set theory by formally distinguishing between sets and classes, widely used in foundational studies of mathematics.
  • 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: naive set theory
Triple: [Curry paradox, arisesIn, naive set theory]
Generated description
Naive set theory is an early, intuitive approach to set theory that treats any definable collection as a set, but is known to be inconsistent due to paradoxes such as Russell’s and Curry’s.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: naive set theory
Target entity description: Naive set theory is an early, intuitive approach to set theory that treats any definable collection as a set, but is known to be inconsistent due to paradoxes such as Russell’s and Curry’s.
  • A. set theory
    Set theory is a foundational branch of mathematical logic that studies collections of objects, called sets, and underpins much of modern mathematics.
  • B. Zermelo–Fraenkel set theory
    Zermelo–Fraenkel set theory is the standard axiomatic framework for modern set theory, designed to avoid paradoxes and provide a rigorous foundation for much of mathematics.
  • C. Zermelo set theory
    Zermelo set theory is an early axiomatic system for set theory, introduced by Ernst Zermelo to rigorously formalize the concept of sets and avoid known paradoxes.
  • D. von Neumann universe
    The von Neumann universe is a cumulative, well-founded hierarchy of sets used as a standard model of the set-theoretic universe in axiomatic set theory.
  • E. von Neumann–Bernays–Gödel set theory
    Von Neumann–Bernays–Gödel set theory is an axiomatic set theory extending Zermelo–Fraenkel set theory by formally distinguishing between sets and classes, widely used in foundational studies of mathematics.
  • F. None of above. chosen
PD Predicate disambiguation gpt-5-mini-2025-08-07
Target predicate: arisesIn
Context triple: [Curry paradox, arisesIn, naive set theory]
  • A. occurredIn
    Indicates that an event or action took place within a specific location, context, or time frame.
  • B. areUsedIn
    Indicates that certain entities serve as components, tools, or resources within a particular process, context, or application.
  • C. risesIn
    Indicates that a river or similar watercourse originates or begins its flow in a specified location.
  • D. appearsFor
    Indicates that one entity is presented, shown, or made visible on behalf of, or in representation of, another entity.
  • E. appearsIn
    Indicates that an entity is present, featured, or occurs within a particular context, work, or medium.
  • F. None of above. chosen

Provenance (7 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_69ad85b3c9b08190857cae74c7f36da9 completed March 8, 2026, 2:20 p.m.
NER Named-entity recognition batch_69adbb5b7584819096eadd1c5268eab1 completed March 8, 2026, 6:09 p.m.
NED1 Entity disambiguation (via context triple) batch_69b3681822488190a9876a21236f9aa3 completed March 13, 2026, 1:27 a.m.
NEDg Description generation batch_69b368b4e504819094ca0adbdbe7bfd9 completed March 13, 2026, 1:30 a.m.
NED2 Entity disambiguation (via description) batch_69b3693a8d6481909dadce4ac6109ff3 completed March 13, 2026, 1:32 a.m.
PD Predicate disambiguation batch_69adae0935ac8190bfa8a8bd3dcd3301 completed March 8, 2026, 5:12 p.m.
PDg Predicate description generation batch_69adb1ecb02881908394f197e31431b4 completed March 8, 2026, 5:29 p.m.
Created at: March 8, 2026, 3:17 p.m.