Answer: SYMBOLICLOGIC

Symbolic logic, also known as formal logic or mathematical logic, is a branch of logic that deals with symbolic representations of logical statements. Instead of using natural language, symbolic logic uses symbols and mathematical notation to represent logical relationships and operations. In the given clue, "P or Q, but not both" is represented as (P∨Q)∧¬(P∧Q) in symbolic logic. Let's break it down: - The symbol ∨ represents the logical operator "or." In this case, (P∨Q) represents the statement "P or Q," which means that at least one of P or Q is true (or both can be true). - The symbol ∧ represents the logical operator "and." In this case, (P∧Q) represents the statement "P and Q," which means that both P and Q are true. - The symbol ¬ represents the logical operator "not." In this case, ¬(P∧Q) represents the negation of the statement "P and Q," which means that "P and Q" is false. Therefore, the entire expression (P∨Q)∧¬(P∧Q) represents the statement "P or Q, but not both," where either P or Q can be true, but not both of them at the same time.

Note: The provided meaning of the answer is for the latest New York Times crossword puzzle clue: In which "P or Q, but not both" is represented as (P∨Q)∧¬(P∧Q). Explanations are generated by AI and may be inaccurate.