Practice Compound Propositions (1.4.3) - Introduction to Mathematical Logic

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6 sample questions

Question 1.
What is a proposition?
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Think about statements that declare something.
Question 2.
What does the negation of a true proposition yield?
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Negation flips the truth value.
3Question 3.
A proposition must be what?
- Always true
- Always false
- Either true or false
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Recall the definition of a proposition you learned.
4Question 4.
If p is true, then ¬p is?
- True
- False
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Think about the concept of negation.
Question 5.
Given p: 'It is raining' and q: 'I will carry an umbrella', express the statement 'I will carry an umbrella only if it is raining' using a logical implication. Evaluate its truth when it is not raining.
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Consider how the logical implication defines when the situation is false.
Question 6.
Construct a truth table for the propositions p and q to show all outcomes of p | p ˄ q, q | p ⋁ q. Analyze which combinations yield true results.
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Remember to fill out all combinations for true and false values.

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