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Questions and Answers
What does the universal quantifier express in the first order formula $\forall x P(x)$?
What does the universal quantifier express in the first order formula $\forall x P(x)$?
- Something in the domain satisfies the property denoted by $P$
- There exists something in the domain which satisfies the property denoted by $P$
- Nothing in the domain satisfies the property denoted by $P$
- Everything in the domain satisfies the property denoted by $P$ (correct)
What is the existential quantifier in the formula $\exists x P(x)$ expressing?
What is the existential quantifier in the formula $\exists x P(x)$ expressing?
- Nothing in the domain satisfies the property denoted by $P$
- There exists something in the domain which satisfies the property denoted by $P$ (correct)
- Everything in the domain satisfies the property denoted by $P$
- Something in the domain satisfies the property denoted by $P$
What is a formula called when a quantifier takes widest scope?
What is a formula called when a quantifier takes widest scope?
- Negated formula
- Quantified formula (correct)
- Bound formula
- Universal formula
Which quantifiers are standardly defined as duals in classical logic?
Which quantifiers are standardly defined as duals in classical logic?
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What does the formula $\neg \exists x P(x)$ express?
What does the formula $\neg \exists x P(x)$ express?
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