Practice Arguments In Predicate Logic (9.2.4) - Rules of Inferences in Predicate Logic

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6 sample questions

Question 1.
What does the predicate S(x) represent?
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Think about what S stands for in the context of the course.
Question 2.
Is the statement 'Some students are enrolled in CS201' universally quantified?
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Consider the words 'some' versus 'all'.
3Question 3.
What does universal quantification state?
- It is true for at least one
- It is true for all
- It is dependent on conditions
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Focus on the definitions of universal quantification.
4Question 4.
True or False: 'There exists a predicate that is always false.'
- True
- False
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Consider extreme cases of predicates.
Question 5.
Given the statement 'Not every bird can fly,' translate this into a logical form and explain if it's a universal or existential claim.
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Think about how to express the negation in logical terms.
Question 6.
Formulate a logically equivalent expression for 'Every student who studies hard will succeed.'
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Recognize the conditional structure of the statement.

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