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.