Triple

T568426
Position Surface form Disambiguated ID Type / Status
Subject liar paradox E13608 entity
Predicate relatedTo P37 FINISHED
Object Berry paradox
The Berry paradox is a self-referential logical paradox arising from phrases like “the smallest positive integer not definable in under eleven words,” which appears to define exactly such a number while claiming it cannot be defined.
E73102 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: Berry paradox | Statement: [liar paradox, relatedTo, Berry paradox]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Berry paradox
Context triple: [liar paradox, relatedTo, Berry paradox]
  • A. Barber paradox
    The Barber paradox is a self-referential logical puzzle about a barber who shaves all and only those who do not shave themselves, illustrating a contradiction similar to Russell’s paradox.
  • B. Russell’s paradox
    Russell’s paradox is a foundational logical contradiction in naive set theory that reveals problems with sets that contain themselves, leading to major developments in modern logic and the axiomatization of set theory.
  • C. Burali-Forti paradox
    The Burali-Forti paradox is a foundational logical contradiction in set theory that arises from considering the set of all ordinal numbers, showing that such a totality cannot consistently exist as a set.
  • D. Epimenides paradox
    The Epimenides paradox is a classic self-referential logical puzzle arising from a Cretan philosopher’s claim that all Cretans are liars, illustrating the problem of statements that refer to their own truth or falsehood.
  • E. Cantor’s paradox
    Cantor’s paradox is a foundational result in set theory showing that the “set of all sets” cannot exist because its power set would have a strictly larger cardinality, leading to a contradiction.
  • 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: Berry paradox
Triple: [liar paradox, relatedTo, Berry paradox]
Generated description
The Berry paradox is a self-referential logical paradox arising from phrases like “the smallest positive integer not definable in under eleven words,” which appears to define exactly such a number while claiming it cannot be defined.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Berry paradox
Target entity description: The Berry paradox is a self-referential logical paradox arising from phrases like “the smallest positive integer not definable in under eleven words,” which appears to define exactly such a number while claiming it cannot be defined.
  • A. Barber paradox
    The Barber paradox is a self-referential logical puzzle about a barber who shaves all and only those who do not shave themselves, illustrating a contradiction similar to Russell’s paradox.
  • B. Russell’s paradox
    Russell’s paradox is a foundational logical contradiction in naive set theory that reveals problems with sets that contain themselves, leading to major developments in modern logic and the axiomatization of set theory.
  • C. Burali-Forti paradox
    The Burali-Forti paradox is a foundational logical contradiction in set theory that arises from considering the set of all ordinal numbers, showing that such a totality cannot consistently exist as a set.
  • D. Epimenides paradox
    The Epimenides paradox is a classic self-referential logical puzzle arising from a Cretan philosopher’s claim that all Cretans are liars, illustrating the problem of statements that refer to their own truth or falsehood.
  • E. Cantor’s paradox
    Cantor’s paradox is a foundational result in set theory showing that the “set of all sets” cannot exist because its power set would have a strictly larger cardinality, leading to a contradiction.
  • 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_69a4933fa4d88190a7949cc83c08c5c1 completed March 1, 2026, 7:27 p.m.
NER Named-entity recognition batch_69a49b0406d481908af5fc7bc67103fb completed March 1, 2026, 8:01 p.m.
NED1 Entity disambiguation (via context triple) batch_69a50e219c788190888ef02fad09096e completed March 2, 2026, 4:12 a.m.
NEDg Description generation batch_69a50e8f3be48190afff999bc3fa9f8a completed March 2, 2026, 4:14 a.m.
NED2 Entity disambiguation (via description) batch_69a50ee34654819097bc0f70bd59de4d completed March 2, 2026, 4:15 a.m.
Created at: March 1, 2026, 7:33 p.m.