Triple
T4678548
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Friedrich Waismann |
E103740
|
entity |
| Predicate | notableWork |
P4
|
FINISHED |
| Object |
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.
|
E462023
|
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: Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics | Statement: [Friedrich Waismann, notableWork, Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics Context triple: [Friedrich Waismann, notableWork, Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics]
-
A.
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.
-
B.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
-
C.
A Beginner’s Guide to Mathematical Logic
A Beginner’s Guide to Mathematical Logic is an introductory textbook that explains the fundamental concepts and techniques of mathematical logic in a clear and accessible style.
-
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.
Proofs and Refutations
Proofs and Refutations is a seminal work in the philosophy of mathematics that explores how mathematical knowledge develops through a dialectical process of conjectures, criticisms, and revisions.
- 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: Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics Triple: [Friedrich Waismann, notableWork, Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics]
Generated description
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.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: Introduction to Mathematical Thinking: The Formation of Concepts in Modern Mathematics Target entity description: 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.
-
A.
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.
-
B.
The Foundations of Mathematics
The Foundations of Mathematics is a posthumously published collection of F. P. Ramsey’s influential papers on logic, philosophy of mathematics, and the foundations of knowledge.
-
C.
A Beginner’s Guide to Mathematical Logic
A Beginner’s Guide to Mathematical Logic is an introductory textbook that explains the fundamental concepts and techniques of mathematical logic in a clear and accessible style.
-
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.
Proofs and Refutations
Proofs and Refutations is a seminal work in the philosophy of mathematics that explores how mathematical knowledge develops through a dialectical process of conjectures, criticisms, and revisions.
- 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_69bd43dda32c8190938b37744ca270fc |
completed | March 20, 2026, 12:55 p.m. |
| NER | Named-entity recognition | batch_69bd636acffc819094e03c5bb53203d8 |
completed | March 20, 2026, 3:10 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69be03a497ac8190bd278a4bd531aa45 |
completed | March 21, 2026, 2:34 a.m. |
| NEDg | Description generation | batch_69be050e0f488190804c512e7cc17c56 |
completed | March 21, 2026, 2:40 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69be05a6bed081909c8d8830fb103610 |
completed | March 21, 2026, 2:42 a.m. |
Created at: March 20, 2026, 1:16 p.m.