TABLE 1.14 More Inference Rules From Can Derive Name/Abbreviation for Rule P→Q, Q→R PVQ, P' P→R[Example 16] Hypothetical syllogism-hs Q [Exercise 25] Q' →P' [Exercise 26] Disjunctive syllogism–ds Contraposition-cont Q' → P' P→Q [Exercise 27] Contraposition-cont PAP[Exercise 28] Self-reference-self PVP P[Exercise 29] Self-reference-self (РЛО) —R P→(Q→R) [Exercise 30] Exportation-exp Q [Exercise 31] (PAQ) V (PAR) [Exercise 32] (PVQ) A (P V R) [Exercise 33] P, P' Inconsistency-Inc PA (QVR) Distributive-dist PV (QAR) Distributive-dist
TABLE 1.14 More Inference Rules From Can Derive Name/Abbreviation for Rule P→Q, Q→R PVQ, P' P→R[Example 16] Hypothetical syllogism-hs Q [Exercise 25] Q' →P' [Exercise 26] Disjunctive syllogism–ds Contraposition-cont Q' → P' P→Q [Exercise 27] Contraposition-cont PAP[Exercise 28] Self-reference-self PVP P[Exercise 29] Self-reference-self (РЛО) —R P→(Q→R) [Exercise 30] Exportation-exp Q [Exercise 31] (PAQ) V (PAR) [Exercise 32] (PVQ) A (P V R) [Exercise 33] P, P' Inconsistency-Inc PA (QVR) Distributive-dist PV (QAR) Distributive-dist
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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write the argument using propositional wffs (use the statement letters shown). Then, using propositional logic,
If the ad is successful, then the sales volume will go up. Either the ad is successful or the store will close.The sales volume will not go up. Therefore, the store will close. A, S, C
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