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: Feferman–Schütte ordinal Γ₀ | Statement: [Veblen hierarchy, canReach, Feferman–Schütte ordinal Γ₀]

Target entity: Feferman–Schütte ordinal Γ₀
Context triple: [Veblen hierarchy, canReach, Feferman–Schütte ordinal Γ₀]

• A. Feferman–Schütte ordinal chosen
  The Feferman–Schütte ordinal is a large countable ordinal that marks the proof-theoretic strength of predicative arithmetic and analysis, serving as a key boundary in ordinal analysis and foundations of mathematics.
• B. Graham's number
  Graham's number is an extraordinarily large number that arose in a problem in Ramsey theory and became famous as one of the largest numbers ever used in a serious mathematical proof.
• C. Ackermann function
  The Ackermann function is a classic example of a computable function that grows faster than any primitive recursive function, often used in theoretical computer science to illustrate extreme computational complexity.
• D. Conway chained arrow notation
  Conway chained arrow notation is a mathematical system of hyper-operator-style notation introduced by John Horton Conway to concisely represent extremely large numbers.
• E. Cantor normal form
  Cantor normal form is a canonical way of expressing any ordinal number as a finite sum of decreasing powers of the first infinite ordinal ω with natural number coefficients.
• F. None of above.
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target predicate: canReach
Context triple: [Veblen hierarchy, canReach, Feferman–Schütte ordinal Γ₀]

• A. tieneAlcance
  Indicates that something possesses or has a certain scope, reach, or range of effect in relation to something else.
• B. canRefer
  Indicates that one entity has the ability or permission to mention, point to, or direct attention to another entity.
• C. hasLongerReachThan
  Indicates that one entity can extend, influence, or physically reach farther than another entity.
• D. canLeadTo
  Indicates that one entity, condition, or event has the potential to cause, result in, or bring about another.
• E. accessibleFrom
  Indicates that one entity can be reached, entered, or used starting from another entity, typically without obstruction.
• F. None of above. chosen