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 a Democrat is elected then taxes will go up. Either a Democrat will be elected or the bill will pass. Therefore, if taxes do not go up, then the bill will pass. D, T, B
![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](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2Faa626ee8-a869-4ea0-b9de-634f407a1a2b%2F923087a3-69c0-470b-82f4-0370c06b8791%2Fecx2w6m.png&w=3840&q=75)
Transcribed Image Text: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
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