PHIL 105 Lecture 10: Lecture 10 (right before midterm)

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The truth of the antecedent is suf cient for the truth of the consequent. and. The truth of the consequent is a necessary condition for the truth of the antecedent. When there"s an only if , this implies that the consequent is necessary. example: my house is green only if it is coloured (this is also a true statement) When there"s an unless , it simply means it is not the case that example: unless my house is coloured, then it"s not green. So p and q are both suf cient for each other. Soundness and strength we must deal with deductive and inductive arguments separately. An argument is deductively sound if and only if it is valid, and all of its premises are true. examples: all valid arguments whose premises correspond to the facts. It may be strong for one person but not for another depending on their circumstances, and evidence.

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