Triple
T3690418
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Cantor’s theorem |
E78328
|
entity |
| Predicate | proofIdea |
P27215
|
FINISHED |
| Object | assume a surjection from S to P(S) and derive a contradiction using a specially constructed subset |
—
|
LITERAL 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: assume a surjection from S to P(S) and derive a contradiction using a specially constructed subset | Statement: [Cantor’s theorem, proofIdea, assume a surjection from S to P(S) and derive a contradiction using a specially constructed subset]
PD
Predicate disambiguation
gpt-5-mini-2025-08-07
Target predicate: proofIdea Context triple: [Cantor’s theorem, proofIdea, assume a surjection from S to P(S) and derive a contradiction using a specially constructed subset]
-
A.
proved
Indicates that one entity has demonstrated the truth or validity of another entity (such as a statement, theorem, or claim) through logical or evidential means.
-
B.
hasTheorem
Indicates that one entity (typically a mathematical theory, field, or work) includes, establishes, or is associated with a particular theorem.
-
C.
typicalProofUses
chosen
Indicates that a proof characteristically or commonly employs a particular method, technique, or component.
-
D.
resolutionIdea
Indicates a proposed method, plan, or approach intended to resolve or address a particular issue, conflict, or problem.
-
E.
proposes
Indicates that one entity formally suggests or puts forward an idea, plan, or course of action to another entity for consideration or approval.
- F. None of above.
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_69ad85e285a081908f8cbfa9e2ed9b75 |
completed | March 8, 2026, 2:21 p.m. |
| NER | Named-entity recognition | batch_69adc4e6147c8190ae358e8cc94f479c |
completed | March 8, 2026, 6:50 p.m. |
| PD | Predicate disambiguation | batch_69adb84dc5808190850aa6975cb09e27 |
completed | March 8, 2026, 5:56 p.m. |
Created at: March 8, 2026, 3:26 p.m.