Conjunctive addition states that if we know that each of two statements is true, we can join them with the conjunction connective and the resulting conjunction will be true.
T T T T T F F T T Valid
T T T T T T T T T T F T T Valid
T T F T T T T T ? ? ?
Conjunctive Simplification Conjunctive Simplification Conjunctive Addition Conjunctive Addition Disjunctive Addition Conjunctive Addition Disjunctive Syll. Modus Tollens Conjunctive Simp. Modus Ponens Modus Tollens Disjunctive Addition
T F T T T T T T Valid
T T ? F T T ?
T T T T F T T T T Valid
T T T F T T T T T T Valid
T F T T F F T T T T Valid
T T T T T T T T Valid
T T T ? T T T T ?
F F T T T F T T T T Valid
T T T T F T F F T Valid
F F F T T T T T T Valid
T F T T T T T
F F T T F F F F T T T ?
T T T T T T T T F T T T T T T Valid
T T T T T F T F T T T T T T T VALID
T T T T T T T T T T T T VALID