Practice Translating English Statements Using Predicates (9.2.2) - Rules of Inferences in Predicate Logic - part A

Practice: Translating English Statements using Predicates

Lesson 9.2.2Rules of Inferences in Predicate Logic - part A

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9 questions

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6 sample questions

Question 1.
Translate 'All students pass the exam' into predicate logic.
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Look for a universal quantifier.
Question 2.
Translate 'There exists a student who is studying math' into predicate logic.
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Use the existential quantifier for at least one student.
3Question 3.
What does the universal quantifier (∀) indicate?
- At least one
- All
- None
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Focus on the meaning of 'every' or 'all'.
4Question 4.
True or False: The statement 'Some birds are large' is equivalent to 'There exists at least one large bird'.
- True
- False
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Consider how existence is defined in logic.
Question 5.
Create an argument using predicates to show how specific students relate to their graduation status based on course completion. How would you logically infer their graduation?
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Think through the relationships between course completion and graduation.
Question 6.
Given a universe of cars, define predicates for electric (E) and hybrid (H) cars. Express 'Some hybrid cars are electric' logically and discuss its meaning.
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Consider the characteristics of hybrid and electric cars.

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