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.