Triple
T4645509
| Position | Surface form | Disambiguated ID | Type / Status |
|---|---|---|---|
| Subject | Hume’s Principle (derivable, not postulated) |
E101762
|
entity |
| Predicate | relatesTo |
P37
|
FINISHED |
| Object | Fregean number theory |
E101762
|
NE 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: Fregean number theory | Statement: [Hume’s Principle (derivable, not postulated), relatesTo, Fregean number theory]
NED1
Entity disambiguation (via context triple)
gpt-5-mini-2025-08-07
Target entity: Fregean number theory Context triple: [Hume’s Principle (derivable, not postulated), relatesTo, Fregean number theory]
-
A.
Frege’s system in "Grundgesetze der Arithmetik"
Frege’s system in "Grundgesetze der Arithmetik" is a foundational logical framework for arithmetic based on second-order logic and Basic Law V, whose inconsistency—revealed by Russell’s paradox—marked a turning point in the development of modern logic and set theory.
-
B.
Lectures on the Logic of Arithmetic
Lectures on the Logic of Arithmetic is an educational work by Mary Everest Boole that explores the foundations and teaching of arithmetic through logical and psychological principles.
-
C.
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.
-
D.
Ontological Reduction and the World of Numbers
"Ontological Reduction and the World of Numbers" is a philosophical essay by W.V.O. Quine that examines how mathematical entities, particularly numbers, can be understood and justified within a naturalistic and ontologically parsimonious framework.
-
E.
Hume’s Principle (derivable, not postulated)
chosen
Hume’s Principle (derivable, not postulated) is the numerical equivalence principle in Frege’s logical system that is obtained as a theorem rather than assumed as a foundational axiom.
- F. None of above.
- G. Unsure - the case is ambiguous/there is not enough information to decide.
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_69bd43d3bc7c81908f81fcf380476b0f |
completed | March 20, 2026, 12:55 p.m. |
| NER | Named-entity recognition | batch_69bd623815288190b21cf59a3786363d |
completed | March 20, 2026, 3:05 p.m. |
| NED1 | Entity disambiguation (via context triple) | batch_69bdfadc5dc081908d56a49895105efb |
completed | March 21, 2026, 1:56 a.m. |
Created at: March 20, 2026, 1:14 p.m.