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.

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Presentation transcript:

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