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Questions and Answers
What does the universal quantifier express in a first-order formula?
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?
Which symbol represents the existential quantifier in a formula?
- ¬
- ∀
- P
- ∃ (correct)
What is the formula ¬ ∃ x P ( x ) used to express in classical logic?
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?
What is a quantified formula required to contain?
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Which work led to the generalization of quantifiers, beginning with Mostowski and Lindström?
Which work led to the generalization of quantifiers, beginning with Mostowski and Lindström?
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