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Question

The truth value of the statements:

∃!xP(x)→∃xP(x) and ∃!x˥P(x)→˥∀xP(x), (where the notation ∃!xP(x) denotes the proposition "There exists a unique x such that P(x) is true'') are:

a.

True and False

b.

False and True

c.

False and False

d.

True and True

Answer: (d).True and True

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Q. The truth value of the statements: ∃!xP(x)→∃xP(x) and ∃!x˥P(x)→˥∀xP(x), (where the notation ∃!xP(x) denotes the proposition "There exists a unique x such that P(x) is true'')...

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