Triple

T7030852
Position Surface form Disambiguated ID Type / Status
Subject George Pólya E163265 entity
Predicate notableWork P4 FINISHED
Object Mathematical Discovery
"Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
E637313 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: Mathematical Discovery | Statement: [George Pólya, notableWork, Mathematical Discovery]
NED1 Entity disambiguation (via context triple) gpt-5-mini-2025-08-07
Target entity: Mathematical Discovery
Context triple: [George Pólya, notableWork, Mathematical Discovery]
  • A. 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.
  • B. Die mathematische Denkweise
    "Die mathematische Denkweise" is a work by mathematician Andreas Speiser that explores the nature, structure, and philosophy of mathematical thinking.
  • C. The Great Mathematical Problems
    The Great Mathematical Problems is a popular mathematics book by Ian Stewart that explores some of the most famous unsolved and historically significant problems in mathematics for a general audience.
  • D. Dialogues on Mathematics
    Dialogues on Mathematics is a popular science book by Hungarian mathematician Alfréd Rényi that presents key mathematical ideas through fictional conversations.
  • E. Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics
    Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics is a philosophical and foundational study in which Friedrich Waismann analyzes how mathematical concepts are formed, clarified, and used in modern mathematics.
  • 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: Mathematical Discovery
Triple: [George Pólya, notableWork, Mathematical Discovery]
Generated description
"Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
NED2 Entity disambiguation (via description) gpt-5-mini-2025-08-07
Target entity: Mathematical Discovery
Target entity description: "Mathematical Discovery" is a two-volume work by George Pólya that explores the processes of mathematical problem solving and heuristic reasoning.
  • A. 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.
  • B. Die mathematische Denkweise
    "Die mathematische Denkweise" is a work by mathematician Andreas Speiser that explores the nature, structure, and philosophy of mathematical thinking.
  • C. The Great Mathematical Problems
    The Great Mathematical Problems is a popular mathematics book by Ian Stewart that explores some of the most famous unsolved and historically significant problems in mathematics for a general audience.
  • D. Dialogues on Mathematics
    Dialogues on Mathematics is a popular science book by Hungarian mathematician Alfréd Rényi that presents key mathematical ideas through fictional conversations.
  • E. Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics
    Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics is a philosophical and foundational study in which Friedrich Waismann analyzes how mathematical concepts are formed, clarified, and used in modern mathematics.
  • 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_69c6885d691c81908cf7d31083113886 completed March 27, 2026, 1:38 p.m.
NER Named-entity recognition batch_69c6e20ee1208190811be10a84e7d8a4 completed March 27, 2026, 8:01 p.m.
NED1 Entity disambiguation (via context triple) batch_69c775980920819081d31b8d2843fb3d completed March 28, 2026, 6:30 a.m.
NEDg Description generation batch_69c77aa1c704819088a9561ac55f9037 completed March 28, 2026, 6:52 a.m.
NED2 Entity disambiguation (via description) batch_69c77b082f3c8190a649297ce0f816bb completed March 28, 2026, 6:54 a.m.
Created at: March 27, 2026, 2:35 p.m.