5 Questions
What does the universal quantifier express in a first-order formula?
That everything in the domain satisfies a property
Which symbol represents the existential quantifier in a formula?
∃
What is the formula ¬ ∃ x P ( x ) used to express in classical logic?
Nothing has the property P
What is a quantified formula required to contain?
A bound variable and a subformula
Which work led to the generalization of quantifiers, beginning with Mostowski and Lindström?
Higher order logics
Learn about the mathematical use of 'for all' and 'there exists' in logic, where quantifiers specify how many individuals in the domain of discourse satisfy an open formula. For example, the universal quantifier expresses that everything in the domain satisfies a particular property.
Make Your Own Quizzes and Flashcards
Convert your notes into interactive study material.
Get started for free
