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3 cards from this section. Quick, good the night before a test.
What does the negation of the statement 'p' represent?
Think of it as contrary to the truth of 'p'.
How many possible truth values are there for two propositions?
Consider the truth outcomes for each proposition combined.
If p is true and q is false, what is the value of p → q?
Remember the definition of an implication.
Is ¬(p ∨ q) logically equivalent to ¬p ∧ ¬q?
Think about how negation distributes over disjunction.
Create a compound proposition using p, q, and r that reflects a real-world scenario, then provide its truth table.
Break down each scenario to see the impacts of each proposition.
Prove the logical equivalence between the statements p → q and ¬q → ¬p by constructing truth tables.
Ensure to cover all combinations in your truth tables.
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