how to teach your child number arithmetic mathematics - writing down sets and set logic equations | sums will set you free at abelard.org

# writing down sets and set logic equations how to teach your child number arithmetic mathematics - writing down sets and set logic equations is part of the series of documents about fundamental education at abelard.org. These pages are a sub-set of
 examples tautology contradiction contingency logic and programming computers end notes
 how to teach a person number, arithmetic, mathematics on teaching reading

## truth tables for connectives

NOT

 state ~ state (¬) state ~ state (¬) True [T] False [F] 1 0 False [F] True [T] 0 1

AND

 AND truth tables (&   • ) state state and state state state and state True [T] True [T] True [T] 1 1 1 True [T] False [F] False [F] 1 0 0 False [F] True [T] False [F] 0 1 0 False [F] False [F] False [F] 0 0 0

OR (inclusive OR)

 OR (inclusive OR) truth tables (v ) state state or state state state or state True [T] True [T] True [T] 1 1 1 True [T] False [F] True [T] 1 0 1 False [F] True [T] True [T] 0 1 1 False [F] False [F] False [F] 0 0 0

XOR (EXCLUSIVE OR)

 XOR (exclusive OR) truth tables state state XOR state state state XOR state True [T] True [T] False [F] 1 1 0 True [T] False [F] True [T] 1 0 1 False [F] True [T] True [T] 0 1 1 False [F] False [F] False [F] 0 0 0

implication truth table [implies] a b a b True [T] True [T] True [T] True [T] False [F] False [F] False [F] True [T] True [T] False [F] False [F] True [T]

equivalence truth table [equivalence] a b a b True [T] True [T] True [T] True [T] False [F] False [F] False [F] True [T] False [F] False [F] False [F] True [T]