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What is an atomic sentence in first order logic?

  • A.A proposition symbol with no internal structure
  • B.A predicate applied to a tuple of terms
  • C.A sentence containing no quantifiers whatever
  • D.A term denoting a single individual object

Answer: B

An atomic sentence applies a predicate to the right number of terms and is the smallest expression having a truth value, so everything else is built from atoms by connectives and quantifiers. Quantifier free sentences may still be compound, terms have no truth value at all, and unstructured symbols belong to propositional logic. Identifying the smallest unit that can be true or false is what organises the syntax of any logic into levels. Reading the definition literally, rather than recalling a formula, is the reliable route through questions of this shape.

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