Triple

T12886110
Position Surface form Disambiguated ID Type / Status
Subject Everything and More: A Compact History of Infinity E308227 entity
Predicate exploresConcept P1857 FINISHED
Object Cantor’s diagonal argument E78328 NE FINISHED

How this triple was built (2 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: Cantor’s diagonal argument | Statement: [Everything and More: A Compact History of Infinity, exploresConcept, Cantor’s diagonal argument]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Cantor’s diagonal argument
Context triple: [Everything and More: A Compact History of Infinity, exploresConcept, Cantor’s diagonal argument]
  • A. Cantor’s theorem chosen
    Cantor’s theorem is a fundamental result in set theory stating that the power set of any set has a strictly greater cardinality than the set itself, implying there is no largest infinity.
  • B. 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.
  • C. Satan, Cantor, and Infinity
    "Satan, Cantor, and Infinity" is a popular logic and mathematics book by Raymond Smullyan that presents puzzles and paradoxes through playful dialogues and stories.
  • D. Kleene–Rosser paradox
    The Kleene–Rosser paradox is a logical contradiction in untyped lambda calculus that demonstrated the inconsistency of Alonzo Church’s original formulation of the system.
  • E. 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.
  • F. None of above.
  • G. Unsure - the case is ambiguous/there is not enough information to decide.

Provenance (3 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_69d7bdf7c1f0819098102569a8d8cbf5 completed April 9, 2026, 2:55 p.m.
NER Named-entity recognition batch_69d9714415c08190aa9944b494a3ddad completed April 10, 2026, 9:53 p.m.
NED1 Entity disambiguation (via context triple) batch_69f6a5576ae4819084914697b2e86d9f completed May 3, 2026, 1:31 a.m.
Created at: April 9, 2026, 5:39 p.m.