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4 cards from this section. Quick, good the night before a test.
What is a tautology? Give an example.
Think of a logical disjunction that includes both a variable and its negation.
Define contradiction and provide an example.
Consider a logical conjunction that cannot logically be true.
What is the definition of a tautology?
Think of a logical expression that is universally true.
Is the statement 'p ∧ ¬p' a contradiction?
Consider the logical compatibility of p and its negation.
Prove that ¬(p ∨ q) is logically equivalent to ¬p ∧ ¬q.
Recall how negation interacts with disjunctions.
Show that (p → q) ↔ (¬q → ¬p) using a truth table.
Typical truth tables can help clarify the relationships between implications.
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