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2 cards from this section. Quick, good the night before a test.
What does the negation of p = 'It is sunny' mean?
Think about what it means to negate a statement.
Translate the statement 'If it rains, then the ground is wet' into logical notation.
Identify the 'if' and 'then' parts in your statement.
What logical connective indicates if-then relationships?
Think about what happens in an if-then statement.
Is the contrapositive of p → q logically equivalent to p → q?
Think about the structure of contrapositives.
Prove that if p ↔ q and ¬q → r, then p → r is also valid.
Start with p ↔ q as two implications.
If p is true, q as false, and r as true, determine the truth values for p → q, p ∨ r, and their implications.
Use truth assignments and verify for each operation.
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