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4 cards from this section. Quick, good the night before a test.
Provide an example of a proposition.
Think of a statement that can be true or false.
What symbol is used for the biconditional operator?
Consider how we express 'if and only if'.
What is the definition of a tautology?
Consider statements with universal truth.
True or False: The contrapositive of a statement is logically equivalent to the statement itself.
Draw out the implications to check for equivalence.
Prove that (p ∨ ¬p) is a tautology using a truth table and alternatively using logical identities.
Evaluate the truth values stepwise.
Provide a detailed proof for the equivalence of the two statements: p → q and ¬q → ¬p using a truth table and argumentation of logical identities.
Demonstrate with various cases.
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