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What is a term in first order logic?

  • A.A predicate applied to its arguments
  • B.A quantifier together with its variable
  • C.An expression denoting an object
  • D.An expression that is either true or false

Answer: C

Terms are constants, variables and function applications, and they denote objects rather than having truth values. Applying a predicate to terms gives an atomic sentence, which does have a truth value. Quantifiers bind variables in sentences. Keeping the two categories apart, expressions that denote and expressions that assert, is what prevents the commonest syntactic errors in writing formulas.

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