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.