TABLE I Rules of Inference.8. Define and label the propositions in thehypothesis with logic variables (p,q.r,...), thenconstruct the logic argument using conjunction,disjunction, implication, bi-conditional, andnegation. Finally, list the Rule(s) of Inferencethat apply in order to validate this argument.Rule of InferenceTantolngyName[PA(p- -Modus ponensModus tollensI eat a balanced diet and exercise daily.If 1 do not get 8 hours of sleep then I do notexercise daily. Therefore, I get 8 hours ofsleep.Hypothetical syllogismDisjunctive syllogismanswer:P- (pV4)AdditionSimplification[(p) A (g) - (png)Conjunction.. pAg[p vq)^(-pvr)] - (a vr)Resolution

Name: TABLE I Rules of Inference.8. Define and label the propositions in th
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Description: TABLE I Rules of Inference.8. Define and label the propositions in thehypothesis with logic variables (p,q.r,...), thenconstruct the logic argument using conjunction,disjunction, implication, bi-conditional, andnegation. Finally, list the Rule(s) of

Let p denotes the statement p:I eat balanced diet q: I exercise daily r: I get 8 hours of sleep Hence, given argument can be written as p∧q, ¬r→¬q, ∴rwe have to check the validity of the given argument using rules of inference we make the following table: No. Step Reason 1 p∧q Premise 2 q simplification of 1 3 ¬r→¬q Premise 4 ¬¬r modus tollens on 2 and 3 5 r double negation law on 4 Thus, we reach to conclusion r. Hence, given argument is valid.

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TABLE I Rukes of Inference. 8. Define and label the propositions in the hypothesis with logic variables (p,q.r,..), then construct the logic argument using conjunction, disjunction, implication, bi-conditional, and negation. Finally, list the Rule(s) of Inference that apply in order to validate this argument. Rule of Inference Tantulogy Name Modus penens Modus tellens I eat a balanced diet and exercise daily. If I do not get 8 hours of sleep then I do not exercise daily. Therefore, I get 8 hours of sleep. Hypothetical syllogism Disjunctive syllogism answer: Addition Simplification Conjunction

TABLE I Rukes of Inference. 8. Define and label the propositions in the hypothesis with logic variables (p,q.r,..), then construct the logic argument using conjunction, disjunction, implication, bi-conditional, and negation. Finally, list the Rule(s) of Inference that apply in order to validate this argument. Rule of Inference Tantulogy Name Modus penens Modus tellens I eat a balanced diet and exercise daily. If I do not get 8 hours of sleep then I do not exercise daily. Therefore, I get 8 hours of sleep. Hypothetical syllogism Disjunctive syllogism answer: Addition Simplification Conjunction

Advanced Engineering Mathematics

10th Edition

ISBN:9780470458365

Author:Erwin Kreyszig

Publisher:Erwin Kreyszig

Chapter2: Second-order Linear Odes

Section: Chapter Questions

Problem 1RQ

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