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: Veblen function φ_α | Statement: [Veblen hierarchy, hasPart, Veblen function φ_α]

Target entity: Veblen function φ_α
Context triple: [Veblen hierarchy, hasPart, Veblen function φ_α]

• A. Veblen hierarchy chosen
  The Veblen hierarchy is a transfinite sequence of ordinal functions used in mathematical logic and set theory to systematically generate and classify very large countable ordinals.
• B. Tarski’s fixed point theorem
  Tarski’s fixed point theorem is a fundamental result in order theory and lattice theory that guarantees the existence of fixed points for monotone functions on complete lattices, with wide applications in logic, computer science, and economics.
• C. Du Bois-Reymond function
  The Du Bois-Reymond function is a classic example of a continuous but nowhere differentiable function, illustrating pathological behavior in real analysis.
• D. Du Bois-Reymond theory of orders of infinity
  The Du Bois-Reymond theory of orders of infinity is a foundational framework in analysis that rigorously compares the growth rates of functions by classifying them into hierarchies of infinitesimal and infinite magnitudes.
• E. Fraenkel–Mostowski permutation models
  Fraenkel–Mostowski permutation models are set-theoretic constructions using permutations of atoms to demonstrate the independence of certain choice principles from Zermelo–Fraenkel set theory.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.