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What is a bound variable?

  • A.One within the scope of a quantifier that binds it
  • B.One that has been assigned a particular object
  • C.One appearing more than once in the same formula
  • D.One that cannot be renamed without changing meaning

Answer: A

A bound variable is a placeholder whose name is irrelevant, so renaming it consistently changes nothing, whereas a free variable's name matters because an assignment refers to it. Assignment, repetition and renaming sensitivity are different notions, the last being the opposite of the truth. That the name of a bound variable carries no information is what licenses the standardising apart step in clausal conversion.

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