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## 201501290735

by: Kaitlyn Herbst

47

0

2

# 201501290735

Kaitlyn Herbst
OSU
GPA 4.0

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KARMA
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This 2 page Class Notes was uploaded by Kaitlyn Herbst on Thursday January 29, 2015. The Class Notes belongs to a course at Ohio State University taught by a professor in Fall. Since its upload, it has received 47 views.

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Date Created: 01/29/15
Chap 81 Statement Logic Proofs lmplicational Rules of Inference 1500 Intro to Logic Vocab Proof series of steps that leads form the premises of a symbolic argument to its conclusion System of natural deduction use a set of inference rules to prove that the conclusion of an argument follows from its premises quotAny argument that can be proved valid in our system of natural deduction is indeed validquot lmplicational Rules of Inference 1 Modus ponens MP P q p q 2 Modus toIens MT P q q P 3 Hypothetical syllogism HS P q 0 PW 4 Disjunctive syllogism DS in two forms PVq PVq P q q P 5 Constructive Dilemma CD P V q PW 1quot5 rv s 6 Simpli cation Simp in two forms P00 P00 P q 7 Conjunction Conj p q P00 8 Addition Add P q PVq qVP Proper Proof Procedure Number each line Conclusion to far right following the triple dot symbol List which lines we are applying to rule of inference to List the abbreviation of the inference rule Any step without annotation is understood to be a premise Tl35 1 Check that you copied the proof correctly 2 scan the premises to see whether tey t any rule patterns 3 Try to nd the conclusion or elements thereof in the conclusion 4 Apply the inference rule to break down the premisies 5f the conclusion contains a statement letter that does not appear in the premises use the rule of addition Ned39s Wish List Strategy Keep track of what you want to get in order to help you assemble the proof Also write in parenthesis how you plan to use the compound

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