Practice Further Examples (9.5) - Rules of Inferences in Predicate Logic - part A

Practice: Further Examples

Lesson 9.5Rules of Inferences in Predicate Logic - part A

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8 questions

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6 sample questions

Question 1.
Translate 'All birds are animals' into predicate logic.
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Think about how to represent 'all' in logic.
Question 2.
What does '∃x (S(x) ∧ C(x))' represent?
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Focus on the meaning of 'some'.
3Question 3.
What does the expression ∀x (S(x) → C(x)) imply?
- Every student studies calculus
- If a student is in CS201
- then they studied calculus
- Some students do not study calculus
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Refer to the definition of implication.
4Question 4.
True or False: ∃y (P(y) ∧ ¬Q(y)) is true if there exists a number y that makes P(y) true and Q(y) false.
- True
- False
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Think about the requirements of existential quantification.
Question 5.
Given the expressions ∀x P(x) and ∃y (P(y) → Q(y)), analyze the conditions under which Q must hold true.
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Use the relationships between universal and existential quantifiers.
Question 6.
Design a scenario illustrating both universal and existential quantifiers in a classroom setting.
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Translate the scenario into logical terms.

4 more questions in this section. Enroll free to practise them all.