Practice Interpretation Of Logical Statements (9.4) - Rules of Inferences in Predicate Logic - part A

Practice: Interpretation of Logical Statements

Lesson 9.4Rules of Inferences in Predicate Logic - part A

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8 questions

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2 cards from this section. Quick, good the night before a test.
Exercise
6 questions · about 4 min · pass mark 70%. Hints available.
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Quiz
2 questions · about 1 min · pass mark 70%. Hints available.
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6 sample questions

Question 1.
Translate the statement 'Every professor in the department tests students' into predicate form.
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Focus on how to represent the 'every' part.
Question 2.
What does the expression 'For all x, S(x) ∧ C(x)' mean?
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Consider what conjunction means.
3Question 3.
What is the correct representation for the statement 'Every student in CS201 has studied calculus'?
- For all x
- S(x) → C(x)
- There exists x such that S(x) → C(x)
- For all x
- S(x) ∧ C(x)
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Focus on the meaning of 'every' in the statement.
4Question 4.
True or False: "The expression 'There exists x such that S(x) → C(x)' implies that all x studied calculus."
- True
- False
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Consider what happens when S(x) is not true.
Question 5.
Create a complex argument involving both universal and existential quantification to describe a scenario involving pets. Then, explain its logical implications.
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Focus on the relationships between different types of pets and their behaviors.
Question 6.
Assess a statement's truth value using given truth assignments: 'For all x, S(x) → C(x)' is true if S(A) is true and C(A) is false. Does this hold?
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Remember implications determine truth based on their conditions.

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