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Which quantifier is used to express uniqueness in first order logic?

  • ∃!
  • ∀∃
  • ∃∀
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The quantifier used to express uniqueness in first-order logic is: ∃!

The symbol ∃! is read as "there exists a unique" and is used to assert that there is exactly one element satisfying a given property. It combines the existential quantifier (∃) with the uniqueness assertion (!). For example, ∃!x P(x) would be read as "There exists a unique x such that P(x) is true."

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Category
Math
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