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Conditional Statement
If-then statement, includes a hypothesis after if and a conclusion after then
If p, then q; p —> q
Converse
Reverses the hypothesis and the conclusion of a conditional
If q, then p; q —> p
Negation
Has the opposite meaning of the original statement; not p (~p)
Inverse
Negate both the hypothesis & conclusion of the original statement.
If not p, then not q; ~p —> ~q
Contrapositive
Negate and reverse both the hypothesis & conclusion of a conditional
If not q, then not p; ~q —> ~p
Biconditional statement
Combination of a conditional (p —> q) and it’s converse (q —> p)
p <—> q; p if and only if q
When p and q have the same truth value, the biconditional is true. When they have opposite truth values, it is false
