Practice Introduction To Mathematical Logic (1) - Introduction to Mathematical Logic

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6 sample questions

Question 1.
What is a proposition?
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Think of a simple statement you can verify.
Question 2.
Give an example of a logical operator.
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What operator flips a proposition's truth value?
3Question 3.
What does a proposition represent?
- A declarative statement that is always true
- A statement that can be true or false
- A mathematical operation
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Think about its definition.
4Question 4.
The conjunction operator is true when:
- Both propositions are false
- At least one proposition is true
- Both propositions are true
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Consider how AND functions.
Question 5.
Create a truth table for the expression (p ˄ q) V r. How does the truth of this statement change based on the values of p, q, and r?
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Remember that V represents OR and ˄ represents AND.
Question 6.
Given a logical statement P: 'If I study, then I will pass' and the statement Q: 'I did not pass', determine the validity of the implication P → Q.
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Think through the conditions of the implication carefully.

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