The following premises are given. Choose the order of rules of inference that are listed below to show that q must be true. I. Modus ponens II. Modus tollens II. Hypothetical Syllogism IV. Disjunctive syllogism V. Addition VI. Simplification VII. Conjunction VIII. Resolution -p -r -(p or q) –r

Elementary Geometry For College Students, 7e
7th Edition
ISBN:9781337614085
Author:Alexander, Daniel C.; Koeberlein, Geralyn M.
Publisher:Alexander, Daniel C.; Koeberlein, Geralyn M.
ChapterP: Preliminary Concepts
SectionP.CT: Test
Problem 16CT: Let P represent any statement. Classify as true or false. a P and P b P or P
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IV, VI
O b. V, VI, I
Oc.
VI, VI, I, II
d.
V. VI, I, I
II, II, IV
е.
Of.
IV, VI, VI, I
Og.
II, I, V, VIII
O h. V, VI, VI, II
Oi. !. V, II, VII
Oj. I.I
Ok. I, I
O. I, IV
Transcribed Image Text:IV, VI O b. V, VI, I Oc. VI, VI, I, II d. V. VI, I, I II, II, IV е. Of. IV, VI, VI, I Og. II, I, V, VIII O h. V, VI, VI, II Oi. !. V, II, VII Oj. I.I Ok. I, I O. I, IV
The following premises are given. Choose the order of rules of inference that are listed below to show that q must be true.
I. Modus ponens
II. Modus tollens
II. Hypothetical Syllogism
IV. Disjunctive syllogism
V. Addition
VI. Simplification
Conjunction
VIII. Resolution
-p
-r
-(p or g) →r
Transcribed Image Text:The following premises are given. Choose the order of rules of inference that are listed below to show that q must be true. I. Modus ponens II. Modus tollens II. Hypothetical Syllogism IV. Disjunctive syllogism V. Addition VI. Simplification Conjunction VIII. Resolution -p -r -(p or g) →r
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