Triple

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).

Phrase: Hume's Principle | Statement: [Basic Law V, weakenedVariantsInclude, Hume's Principle]

Target entity: Hume's Principle
Context triple: [Basic Law V, weakenedVariantsInclude, Hume's Principle]

• A. 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.
• B. 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.
• C. Principia Mathematica
  Principia Mathematica is a landmark three-volume work in mathematical logic and the foundations of mathematics, co-authored by Bertrand Russell and Alfred North Whitehead, which aimed to derive all mathematical truths from a formal system of symbolic logic.
• 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. On the Fourfold Root of the Principle of Sufficient Reason
  On the Fourfold Root of the Principle of Sufficient Reason is a foundational philosophical treatise by Arthur Schopenhauer that analyzes the different ways in which the principle of sufficient reason structures human knowledge and experience.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: weakenedVariantsInclude
Context triple: [Basic Law V, weakenedVariantsInclude, Hume's Principle]

• A. weakerThan
  Indicates that one entity has less strength, power, or effectiveness than another entity.
• B. affectsVariant
  Indicates that one entity has an influence or impact on a specific variant or version of another entity.
• C. usedInVariant
  Indicates that something (such as a component, feature, or element) is utilized or included within a particular variant or version of a larger entity.
• D. weakenedDuring
  Indicates that an entity’s strength, intensity, or effectiveness is reduced over the course of a specified time period or event.
• E. hasVariant
  Indicates that one entity exists as an alternative form, version, or variation of another entity.
• F. None of above. chosen