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: Borel–Kolmogorov paradox | Statement: [Émile Borel, notableWork, Borel–Kolmogorov paradox]

Target entity: Borel–Kolmogorov paradox
Context triple: [Émile Borel, notableWork, Borel–Kolmogorov paradox]

• A. Kolmogorov zero–one law
  The Kolmogorov zero–one law is a fundamental result in probability theory stating that certain events determined by the tail behavior of independent random variables must have probability either zero or one.
• B. Mazurkiewicz–Sierpiński paradox
  The Mazurkiewicz–Sierpiński paradox is a result in set-theoretic geometry showing that a sphere can be decomposed and reassembled in a counterintuitive way, illustrating the existence of paradoxical decompositions similar to the Banach–Tarski paradox.
• C. Kolmogorov axioms
  The Kolmogorov axioms are the standard mathematical foundation of probability theory, formalizing probabilities as measures on a sigma-algebra that satisfy non-negativity, normalization, and countable additivity.
• D. Banach–Tarski paradox
  The Banach–Tarski paradox is a theorem in set-theoretic geometry stating that a solid ball in 3‑dimensional space can be decomposed into finitely many non-measurable pieces and reassembled into two identical copies of the original ball, highlighting counterintuitive consequences of the axiom of choice.
• E. St. Petersburg paradox
  The St. Petersburg paradox is a famous problem in probability theory and economics that highlights how a lottery with an infinite expected payoff can still attract only a finite price from rational gamblers, challenging traditional notions of expected value and decision-making under risk.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Generate a one-sentence description of the target entity. 
You are given a context triple in the form (subject, predicate, object), where the object is the target entity. 
# Instructions
Use the triple to infer relevant information about the entity. Describe the entity based on what is most defining, well-known. 
Avoid repeating the information from the triple, unless really essential.
# Response Format
Return only the sentence: "Description: [one-sentence description of the target entity]"

Entity: Borel–Kolmogorov paradox
Triple: [Émile Borel, notableWork, Borel–Kolmogorov paradox]

The Borel–Kolmogorov paradox is a famous example in probability theory showing that conditional probabilities on events of measure zero can be ambiguous without specifying the underlying limiting procedure or σ-algebra.

Target entity: Borel–Kolmogorov paradox
Target entity description: The Borel–Kolmogorov paradox is a famous example in probability theory showing that conditional probabilities on events of measure zero can be ambiguous without specifying the underlying limiting procedure or σ-algebra.

• A. Kolmogorov zero–one law
  The Kolmogorov zero–one law is a fundamental result in probability theory stating that certain events determined by the tail behavior of independent random variables must have probability either zero or one.
• B. Mazurkiewicz–Sierpiński paradox
  The Mazurkiewicz–Sierpiński paradox is a result in set-theoretic geometry showing that a sphere can be decomposed and reassembled in a counterintuitive way, illustrating the existence of paradoxical decompositions similar to the Banach–Tarski paradox.
• C. Kolmogorov axioms
  The Kolmogorov axioms are the standard mathematical foundation of probability theory, formalizing probabilities as measures on a sigma-algebra that satisfy non-negativity, normalization, and countable additivity.
• D. Banach–Tarski paradox
  The Banach–Tarski paradox is a theorem in set-theoretic geometry stating that a solid ball in 3‑dimensional space can be decomposed into finitely many non-measurable pieces and reassembled into two identical copies of the original ball, highlighting counterintuitive consequences of the axiom of choice.
• E. St. Petersburg paradox
  The St. Petersburg paradox is a famous problem in probability theory and economics that highlights how a lottery with an infinite expected payoff can still attract only a finite price from rational gamblers, challenging traditional notions of expected value and decision-making under risk.
• F. None of above. chosen