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What types of quantifiers exist in mathematics?

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Alec KretchAUG 12, 2021, 8:25:20 AM

Existential quantifiers: "there exists". For instance, x(x<0) asserts that there exists a number less than zero.

Universal quantifiers: "for all". For instance, x(x>=0) asserts that every number is greater than or equal to 0.

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imgDiscrete Mathematics (page 31)

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Think you've got it?

Translate the following sentence into symbols: There is a prime number that is even.

Select one of the following options:
  • A.

    x(P(x)E(x)) (where P(x) means "x is prime")

  • B.

    xy(P(x)E(y)) (where P(x) means "x is prime")

  • C.

    xy(P(x)E(y)) (where P(x) means "x is prime")

  • D.

    x(P(x)E(x)) (where P(x) means "x is prime")

  • E.

    x(P(x)E(x)) (where P(x) means "x is prime")

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