Practice Part A (13.5.1) - Lecture - 13 - Discrete Mathematics

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6 sample questions

Question 1.
Define a predicate for 'x is an even number'.
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Think about the condition that defines even numbers.
Question 2.
What does a counterexample demonstrate?
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Consider how to contradict a universal claim.
3Question 3.
What does the term 'predicate' refer to in logic?
- A logical conclusion
- A true/false statement based on variables
- A statement that is always false
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Reflect on how predicates can be structured.
4Question 4.
True or False: A counterexample can exist even if a universal statement is true.
- True
- False
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Think about the relationship between evidence and claims.
Question 5.
Prove that the statement 'All integers are either even or odd' can be expressed with predicates.
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Break down the definition of integers and the properties of being even or odd.
Question 6.
Construct a valid argument with unexpected premises that lead to a false conclusion, then analyze it.
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Experiment with unexpected conditions that still satisfy premise criteria.

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