Quantifier (logic) - Wikipedia
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Questions and Answers

What does the universal quantifier express in a first-order formula?

  • That nothing in the domain satisfies a property
  • That everything in the domain satisfies a property (correct)
  • That something in the domain satisfies a property
  • That exists something in the domain which satisfies a property

    • Which symbol represents the existential quantifier in a formula?

  • ¬
  • ∀
  • P
  • ∃ (correct)

    • What is the formula ¬ ∃ x P ( x ) used to express in classical logic?

  • Something in the domain satisfies a property
  • There exists something in the domain which satisfies a property
  • Nothing has the property P (correct)
  • Everything has the property P

    • What is a quantified formula required to contain?

    <p>A bound variable and a subformula</p> Signup and view all the answers

    Which work led to the generalization of quantifiers, beginning with Mostowski and Lindström?

    <p>Higher order logics</p> Signup and view all the answers

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