truth tables and 6 facts to remember

p & q

TT T, TF F, FT F, FF, F (ALL F EXCEPT TT)

p v q

TT T, TF T, FT T, FF F (ALL T EXCEPT FF: being FRESH and FIT is FUN)

~p/~q

opposite of the given T/F. if T, then F vice versa

p —> q

TT T, TF F, FT T, FF T, (ALL T EXCEPT TF: TF???)

p ←→ q

TT T, TF F, FT F, FF T (MATCH UP)

if an argument p,q therefore r is valid, then (p&q) —> is

A TAUTOLOGY

if an argument p,q therefore r is INvalid, then (p&q) —> r is

A CONTINGENCY/CONTRADICTION

if p is a contradiction, then p,q therefore r is

VALID

if r is a tautology, then p, q therefore r is

VALID

if an argument p,q therefore r is valid, then (p&q)&~r is

A CONTRADICTION

if an argument p,q therefore r is invalid, then (p&q)&~r is

CONTINGENCY OR TAUTOLOGY