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What is a contingent sentence?

  • A.One true in every model of the premises
  • B.One whose truth depends on a further assumption
  • C.One that cannot be written in conjunctive normal form
  • D.One true in some models and false in others

Answer: D

A contingent sentence is satisfiable but not valid, so it carries genuine information about which world we are in. Valid sentences are uninformative and unsatisfiable ones are impossible. Every sentence has a conjunctive normal form. Classifying a sentence as valid, unsatisfiable or contingent is the first thing to establish about it, since only the third kind says anything.

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