Practice Summary (8. 2) - Predicate Logic - Discrete Mathematics

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6 sample questions

Question 1.
What is a predicate in logical terms?
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Think about how we describe something in terms of characteristics.
Question 2.
What symbol represents universal quantification?
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This symbol looks like an upside-down A!
3Question 3.
What does predicate logic allow us to represent?
- Complex relationships between variables
- Only true and false propositions
- Fixed statements only
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Think about why we need predicates for variables.
4Question 4.
True or False: Universal quantification states that a property holds for at least one value in the domain.
- True
- False
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Remember the difference between 'all' and 'some'.
Question 5.
Consider the predicates P(x): 'x > 3' and Q(x): 'x is even'. Analyze their logical equivalence in two different domains.
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Test a few values and see how both predicates perform!
Question 6.
Create a statement using existential quantification and analyze how changing the domain alters its truth.
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Think of examples to illustrate your findings!

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