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
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 10CT: Statement P and Q are true while R is a false statement. Classify as true or false:...
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![TABLE I Rules 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
Tantolngy
Name
[PA(p- -
Modus ponens
Modus tollens
I eat a balanced diet and exercise daily.
If 1 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:
P- (pV4)
Addition
Simplification
[(p) A (g) - (png)
Conjunction
.. pAg
[p vq)^(-pvr)] - (a vr)
Resolution](/v2/_next/image?url=https%3A%2F%2Fcontent.bartleby.com%2Fqna-images%2Fquestion%2F5f7bac44-d352-488d-9607-aafe7c3cf239%2F921c8e46-c95e-402e-9717-ce4ce5d36cf7%2Ffxeds4l_processed.png&w=3840&q=75)
Transcribed Image Text:TABLE I Rules 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
Tantolngy
Name
[PA(p- -
Modus ponens
Modus tollens
I eat a balanced diet and exercise daily.
If 1 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:
P- (pV4)
Addition
Simplification
[(p) A (g) - (png)
Conjunction
.. pAg
[p vq)^(-pvr)] - (a vr)
Resolution
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