Triple
T12797630
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Philip J. Davis |
E305929
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
Mathematics and the Imagination (later essays and related work)
Mathematics and the Imagination (later essays and related work) is a collection of Philip J. Davis’s reflective and often philosophical writings that explore the nature, history, and human side of mathematics for a broad audience.
|
E1002062
|
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: Mathematics and the Imagination (later essays and related work) | Statement: [Philip J. Davis, notableWork, Mathematics and the Imagination (later essays and related work)]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Mathematics and the Imagination (later essays and related work) Context triple: [Philip J. Davis, notableWork, Mathematics and the Imagination (later essays and related work)]
-
A.
Mathematics and Plausible Reasoning
Mathematics and Plausible Reasoning is a two-volume work by George Pólya that explores how mathematicians actually think, conjecture, and discover through heuristic and inductive reasoning rather than formal proof alone.
-
B.
A Mathematician's Apology
A Mathematician's Apology is G. H. Hardy’s classic reflective essay that defends the aesthetic value of pure mathematics and offers a candid, personal account of the mathematician’s life and creative process.
-
C.
Elementary Mathematics from an Advanced Standpoint
"Elementary Mathematics from an Advanced Standpoint" is a classic three-volume work by Felix Klein that reexamines school-level mathematics through the lens of modern, rigorous mathematical theory and pedagogy.
-
D.
"Mathematical Snapshots"
"Mathematical Snapshots" is a popular mathematics book by Hugo Steinhaus that presents a wide range of mathematical ideas and curiosities through accessible, engaging short essays and illustrations.
-
E.
Concepts of Modern Mathematics
Concepts of Modern Mathematics is a popular mathematics book by Ian Stewart that introduces key ideas of modern math—such as set theory, logic, topology, and abstract algebra—to a general audience in an accessible, non-technical way.
- 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: Mathematics and the Imagination (later essays and related work) Triple: [Philip J. Davis, notableWork, Mathematics and the Imagination (later essays and related work)]
Generated description
Mathematics and the Imagination (later essays and related work) is a collection of Philip J. Davis’s reflective and often philosophical writings that explore the nature, history, and human side of mathematics for a broad audience.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Mathematics and the Imagination (later essays and related work) Target entity description: Mathematics and the Imagination (later essays and related work) is a collection of Philip J. Davis’s reflective and often philosophical writings that explore the nature, history, and human side of mathematics for a broad audience.
-
A.
Mathematics and Plausible Reasoning
Mathematics and Plausible Reasoning is a two-volume work by George Pólya that explores how mathematicians actually think, conjecture, and discover through heuristic and inductive reasoning rather than formal proof alone.
-
B.
A Mathematician's Apology
A Mathematician's Apology is G. H. Hardy’s classic reflective essay that defends the aesthetic value of pure mathematics and offers a candid, personal account of the mathematician’s life and creative process.
-
C.
Elementary Mathematics from an Advanced Standpoint
"Elementary Mathematics from an Advanced Standpoint" is a classic three-volume work by Felix Klein that reexamines school-level mathematics through the lens of modern, rigorous mathematical theory and pedagogy.
-
D.
"Mathematical Snapshots"
"Mathematical Snapshots" is a popular mathematics book by Hugo Steinhaus that presents a wide range of mathematical ideas and curiosities through accessible, engaging short essays and illustrations.
-
E.
Concepts of Modern Mathematics
Concepts of Modern Mathematics is a popular mathematics book by Ian Stewart that introduces key ideas of modern math—such as set theory, logic, topology, and abstract algebra—to a general audience in an accessible, non-technical way.
- 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_69d7bdf366888190a8cccb982606889c |
completed | April 9, 2026, 2:55 p.m. |
| NER | Named-entity recognition | batch_69d96e6f858c8190915ede38e9a6a2df |
completed | April 10, 2026, 9:41 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69f6850d6ebc8190aaffcac09f4b15eb |
completed | May 2, 2026, 11:13 p.m. |
| NEDg | Description generation | batch_69f6863fada48190afe2ff7896a60094 |
completed | May 2, 2026, 11:18 p.m. |
| NED2 | Entity disambiguation (via description) | batch_69f686bcac94819088782273effbb06a |
completed | May 2, 2026, 11:20 p.m. |
Created at: April 9, 2026, 5:30 p.m.