Triple
T4597148
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Kronecker’s finitism |
E100231
|
entity |
| Predicate | associatedWith |
P37
|
FINISHED |
| Object |
constructivism in mathematics
Constructivism in mathematics is a philosophical and methodological stance that accepts only mathematical objects and proofs that can be explicitly constructed, rejecting non-constructive existence arguments and certain uses of the law of excluded middle.
|
E100231
|
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: constructivism in mathematics | Statement: [Kronecker’s finitism, associatedWith, constructivism in mathematics]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: constructivism in mathematics Context triple: [Kronecker’s finitism, associatedWith, constructivism in mathematics]
-
A.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
-
B.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
-
C.
Elements of Intuitionism
Elements of Intuitionism is a foundational philosophical and logical treatise by Michael Dummett that systematically develops and defends intuitionistic logic and mathematics.
-
D.
Kronecker’s finitism
Kronecker’s finitism is a philosophical and mathematical stance asserting that only finite, constructible mathematical objects and proofs are legitimate, rejecting the existence of actual infinities.
-
E.
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.
- 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: constructivism in mathematics Triple: [Kronecker’s finitism, associatedWith, constructivism in mathematics]
Generated description
Constructivism in mathematics is a philosophical and methodological stance that accepts only mathematical objects and proofs that can be explicitly constructed, rejecting non-constructive existence arguments and certain uses of the law of excluded middle.
NED2
Entity disambiguation (via description)
gpt-5-mini-2025-08-07
Target entity: constructivism in mathematics Target entity description: Constructivism in mathematics is a philosophical and methodological stance that accepts only mathematical objects and proofs that can be explicitly constructed, rejecting non-constructive existence arguments and certain uses of the law of excluded middle.
-
A.
Remarks on the Foundations of Mathematics
Remarks on the Foundations of Mathematics is a posthumously published collection of Ludwig Wittgenstein’s later writings that critically examines the nature of mathematical truth, proof, and practice from a philosophical and language-centered perspective.
-
B.
Hilbert’s program
Hilbert’s program was an influential early-20th-century initiative in the foundations of mathematics that sought to formalize all of mathematics and prove its consistency using finitistic methods.
-
C.
Elements of Intuitionism
Elements of Intuitionism is a foundational philosophical and logical treatise by Michael Dummett that systematically develops and defends intuitionistic logic and mathematics.
-
D.
Kronecker’s finitism
chosen
Kronecker’s finitism is a philosophical and mathematical stance asserting that only finite, constructible mathematical objects and proofs are legitimate, rejecting the existence of actual infinities.
-
E.
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.
- F. None of above.
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_69bd43cbc014819098b45f435908f88a |
completed | March 20, 2026, 12:55 p.m. |
| NER | Named-entity recognition | batch_69bd594055dc8190a50f1b4be2be1ba0 |
completed | March 20, 2026, 2:27 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bdfa4a99c88190b7332fd2e1799b3a |
completed | March 21, 2026, 1:54 a.m. |
| NEDg | Description generation | batch_69bdfb83b5d08190b2d8502e763a0841 |
completed | March 21, 2026, 1:59 a.m. |
| NED2 | Entity disambiguation (via description) | batch_69bdfc0e456c81908efa3858d981ccc0 |
completed | March 21, 2026, 2:01 a.m. |
Created at: March 20, 2026, 1:11 p.m.