1.4-1.6 math quiz - vocab, notation, laws

conditional

p —> q

converse

q —> p

negation

~p

inverse

~p —> ~q

contrapositive

~q —> ~p

conjunction

p ^ q (p AND q)

disjunction

p V q (p OR q)

for a CONjunction, how many statements must be true in order for the conjunction to be true?for

all

for a DISjunction, how many statements must be true in order for the DISjunction to be true?

only 1

law of detachment

if statement and hypothesis are true, conclusion is also true

law of syllogism

p —> q —> r is true then p —> r is true

biconditional

p ←→ q or q ←→ p

p if and only if q, q if and only if p