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: small Veblen ordinal | Statement: [Feferman–Schütte ordinal, lessThan, small Veblen ordinal]

Target entity: small Veblen ordinal
Context triple: [Feferman–Schütte ordinal, lessThan, small Veblen ordinal]

• A. Bachmann–Howard ordinal
  The Bachmann–Howard ordinal is a large countable ordinal that serves as a key benchmark in proof theory, marking the strength of powerful formal systems extending predicative arithmetic.
• B. Feferman–Schütte ordinal
  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.
• C. 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.
• D. Woodin cardinal
  A Woodin cardinal is a large cardinal in set theory with strong consistency and determinacy properties, central to modern research on the foundations of mathematics and descriptive set theory.
• E. Aleph (mathematics)
  Aleph (mathematics) denotes the infinite cardinal numbers used in set theory to measure and compare the sizes of infinite sets.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: small Veblen ordinal
Target entity description: The small Veblen ordinal is a large countable ordinal that extends the hierarchy of ordinals generated by the Veblen functions far beyond the Feferman–Schütte ordinal and serves as an important benchmark in proof theory and ordinal analysis.

• A. Bachmann–Howard ordinal
  The Bachmann–Howard ordinal is a large countable ordinal that serves as a key benchmark in proof theory, marking the strength of powerful formal systems extending predicative arithmetic.
• B. Feferman–Schütte ordinal
  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.
• C. 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.
• D. Woodin cardinal
  A Woodin cardinal is a large cardinal in set theory with strong consistency and determinacy properties, central to modern research on the foundations of mathematics and descriptive set theory.
• E. Aleph (mathematics)
  Aleph (mathematics) denotes the infinite cardinal numbers used in set theory to measure and compare the sizes of infinite sets.
• F. None of above. chosen