Triple
T1835353
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Raymond Smullyan |
E41052
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
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.
|
E206685
|
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: Satan, Cantor, and Infinity | Statement: [Raymond Smullyan, notableWork, Satan, Cantor, and Infinity]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Satan, Cantor, and Infinity Context triple: [Raymond Smullyan, notableWork, Satan, Cantor, and Infinity]
-
A.
Orders of Infinity
"Orders of Infinity" is a mathematical treatise by G. H. Hardy that systematically develops the theory of divergent series and the comparative growth rates of functions in analysis.
-
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.
Cantor’s theorem
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.
-
D.
von Neumann paradox in set theory
The von Neumann paradox in set theory is a foundational result showing that, under certain group-theoretic conditions, a set can be decomposed and reassembled into paradoxical subsets of equal “size,” illustrating the counterintuitive consequences of the axiom of choice.
-
E.
Surreal numbers
Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
- 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: Satan, Cantor, and Infinity Triple: [Raymond Smullyan, notableWork, Satan, Cantor, and Infinity]
Generated description
"Satan, Cantor, and Infinity" is a popular logic and mathematics book by Raymond Smullyan that presents puzzles and paradoxes through playful dialogues and stories.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Satan, Cantor, and Infinity Target entity description: "Satan, Cantor, and Infinity" is a popular logic and mathematics book by Raymond Smullyan that presents puzzles and paradoxes through playful dialogues and stories.
-
A.
Orders of Infinity
"Orders of Infinity" is a mathematical treatise by G. H. Hardy that systematically develops the theory of divergent series and the comparative growth rates of functions in analysis.
-
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.
Cantor’s theorem
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.
-
D.
von Neumann paradox in set theory
The von Neumann paradox in set theory is a foundational result showing that, under certain group-theoretic conditions, a set can be decomposed and reassembled into paradoxical subsets of equal “size,” illustrating the counterintuitive consequences of the axiom of choice.
-
E.
Surreal numbers
Surreal numbers are a class of numbers introduced by John H. Conway that form an extensive ordered field encompassing the real numbers, infinite quantities, and infinitesimals within a unified framework.
- 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_69a88647f9388190909bc36e795bdaec |
completed | March 4, 2026, 7:21 p.m. |
| NER | Named-entity recognition | batch_69abb026aa7c8190bc988d3ee0fd9f41 |
completed | March 7, 2026, 4:57 a.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69adc9b4b4f08190a0e5ad50de5c0ba8 |
completed | March 8, 2026, 7:10 p.m. |
| NEDg | Description generation | batch_69adcd9359b88190ad312ff0389ff1a6 |
completed | March 8, 2026, 7:27 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69adce11558c8190bd8c6341837eb792 |
completed | March 8, 2026, 7:29 p.m. |
Created at: March 4, 2026, 7:33 p.m.