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: consequence operator in logic | Statement: [Alfred Tarski, notableIdea, consequence operator in logic]

Target entity: consequence operator in logic
Context triple: [Alfred Tarski, notableIdea, consequence operator in logic]

• A. On the Concept of Logical Consequence
  "On the Concept of Logical Consequence" is Alfred Tarski’s seminal 1936 essay that formally characterizes logical consequence using model-theoretic semantics and helped shape modern logic and philosophy of language.
• B. On the Concept of Following Logically
  "On the Concept of Following Logically" is a seminal philosophical essay by Alfred Tarski that rigorously analyzes the notion of logical consequence and its formal characterization.
• C. Anderson–Belnap relevant logics
  Anderson–Belnap relevant logics are a family of non-classical logics that require premises to be relevant to conclusions, developed by Alan Anderson and Nuel Belnap as a formal alternative to classical implication.
• D. sequent calculus
  Sequent calculus is a formal logical system introduced by Gerhard Gentzen that represents deductions as sequences (sequents) to analyze and structure proofs, especially in proof theory and logic.
• E. routley star semantics
  Routley star semantics is a possible-worlds-style semantic framework for relevant and paraconsistent logics that uses a special “star” operation on worlds to model negation without explosion.
• F. None of above. chosen
• G. Unsure - the case is ambiguous/there is not enough information to decide.

Target entity: consequence operator in logic
Target entity description: The consequence operator in logic is a formal, Tarski-style mapping from sets of sentences to their logical consequences, capturing the notion of logical entailment in an abstract, algebraic way.

• A. On the Concept of Logical Consequence
  "On the Concept of Logical Consequence" is Alfred Tarski’s seminal 1936 essay that formally characterizes logical consequence using model-theoretic semantics and helped shape modern logic and philosophy of language.
• B. On the Concept of Following Logically
  "On the Concept of Following Logically" is a seminal philosophical essay by Alfred Tarski that rigorously analyzes the notion of logical consequence and its formal characterization.
• C. Anderson–Belnap relevant logics
  Anderson–Belnap relevant logics are a family of non-classical logics that require premises to be relevant to conclusions, developed by Alan Anderson and Nuel Belnap as a formal alternative to classical implication.
• D. sequent calculus
  Sequent calculus is a formal logical system introduced by Gerhard Gentzen that represents deductions as sequences (sequents) to analyze and structure proofs, especially in proof theory and logic.
• E. routley star semantics
  Routley star semantics is a possible-worlds-style semantic framework for relevant and paraconsistent logics that uses a special “star” operation on worlds to model negation without explosion.
• F. None of above. chosen