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Philosophy Logic

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Rules

RuleForm
Modus PonensP ► Q , P ▲ Q
Disjunctive SyllogismP v Q , -P ▲ Q
Double Negation --P ▲ P or P ▲ --P
SimplificationP & Q ▲ P or P & Q ▲ Q
ConjunctionP , Q ▲ P & Q or P , Q ▲ Q & P
AdditionP ▲ P v Q
Modus TollensP ► Q , -Q ▲-P
Hypothetical SyllogismP ► Q , Q ► R ▲ P ► R
Biconditional DefinitionP ► Q , Q ► P ▲ P ◊ Q
DilemmaP v Q , P ► R , Q ► R ▲ R
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Key

Question Answer
Therefore
vOr
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: Not
Question Answer
If...Then
&And
Only If
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