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Find the negation of quantified statements

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Reference no: EM131906924

Translate prose with quantified statements to symbolic and find the negation of quantified statements.

Negate the statement and simplify so that no quantifier or connective lies within the scope of a negation:

(∀x)(∃y)(P(x,y)→Q(x,y))

(b.) Consider the domain of people working at field site HuppaLoo. Let M(x,y): x has access to mailbox y.

Translate into predicate logic using quantifiers:

Every worker at Huppaloo has access to some mailbox.

There exists a worker at Huppaloo who has access to all mailboxes.

(c.) Consider the domain of real numbers. Compare the following two statements and explain their meaning (in words).

(∀x)(∃y)(x+y=1)

(∃y)(∀x)(x+y=1)

Reference no: EM131906924

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