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Kenneth Rosen Edition 7 Exercise 1.5 Question 31 (Page No. 66)

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Express the negations of each of these statements so that all negation symbols immediately precede predicates.

  1. $\forall x \exists y \forall z T(x,y,z)$
  2. $\forall x \exists y P(x,y) \vee \forall x \exists y Q(x,y)$
  3. $\forall x \exists y (P(x,y) \wedge \exists z R(x,y,z))$
  4. $\forall x \exists y( P(x,y) \rightarrow Q(x,y))$
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Pooja Khatri asked Mar 19, 2019
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Kenneth Rosen Edition 7 Exercise 1.5 Question 34 (Page No. 66)
Find a common domain for the variables $x,y$, and $z$ for which the statement $\forall x \forall y ((x \neq y) \rightarrow \forall z (z=x) \vee (z=y))$ is true and another domain for which it is false.
Find a common domain for the variables $x,y$, and $z$ for which the statement $\forall x \forall y ((x \neq y) \rightarrow \forall z (z=x) \vee (z=y))$ is true and anothe...
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