Practice De Morgan's Laws Involving Quantified Statements (8. 1.7.1)

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6 sample questions

Question 1.
Define predicate logic in your own words.
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Think about logic with variables.
Question 2.
What does universal quantification assert?
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Remember the symbol ∀.
3Question 3.
What does the universal quantifier ∀ signify?
- It is true for all elements
- It is true for at least one
- None of the above
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Think about every or at least one.
4Question 4.
True or False: ∃x (P(x)) means for all x, P is true.
- True
- False
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Consider the difference in implications.
Question 5.
Prove that ¬∃x (P(x)) is logically equivalent to ∀x ¬P(x).
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Translate the existential statement using negation.
Question 6.
Provide an example of a domain where universal quantification would switch to false due to included numbers.
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Think about specific values and their outcomes.

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