Existence quantifier

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In mathematics and logic, the existence quantifier is a quantifier used to state that a proposition is true for at least one element in the universe of discourse. The existence quantifier is commonly written as (a mirrored E), and is read as "there exists".[1] An example involving an existence quantifier is the statement "some natural number is equal to 3+5", which can be written as .

In general, a statement of the form is true if there is an x in the universe of discourse satisfying the predicate , and is false otherwise.[2] An existence quantifier is different from a universal quantifier, which is used to state that a proposition is true for all elements in the universe of discourse.[3]

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References[change | change source]

  1. "Comprehensive List of Logic Symbols". Math Vault. 2020-04-06. Retrieved 2020-09-04.
  2. "1.2 Quantifiers". www.whitman.edu. Retrieved 2020-09-04.
  3. "Predicates and Quantifiers". www.csm.ornl.gov. Retrieved 2020-09-04.