Justify each conclusion with a derivation rule. (a) If Joe is artistic, he must also be creative. Joe is not creative. Therefore, Joe is not artistic. O De Morgan's Laws O double negation O modus ponens O modus tollens simplification (b) Lingli is both athletic and intelligent. Therefore, Lingli is athletic. O De Morgan's Laws double negation O modus ponens O modus tollens O simplification (c) If Monique is 18 years old, then she may vote. Monique is 18 years old. Therefore, Monique may vote. O De Morgan's Laws O double negation O modus ponens
Justify each conclusion with a derivation rule. (a) If Joe is artistic, he must also be creative. Joe is not creative. Therefore, Joe is not artistic. O De Morgan's Laws O double negation O modus ponens O modus tollens simplification (b) Lingli is both athletic and intelligent. Therefore, Lingli is athletic. O De Morgan's Laws double negation O modus ponens O modus tollens O simplification (c) If Monique is 18 years old, then she may vote. Monique is 18 years old. Therefore, Monique may vote. O De Morgan's Laws O double negation O modus ponens
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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Transcribed Image Text:Justify each conclusion with a derivation rule.
(a) If Joe is artistic, he must also be creative. Joe is not creative. Therefore, Joe is not artistic.
O De Morgan's Laws
O double negation
O modus ponens
O modus tollens
O simplification
(b) Lingli is both athletic and intelligent. Therefore, Lingli is athletic.
O De Morgan's Laws
O double negation
O modus ponens
O modus tollens
O simplification
(c) If Monique is 18 years old, then she may vote. Monique is 18 years old. Therefore, Monique may vote.
O De Morgan's Laws
O double negation
O modus ponens
O modus tollens
O simplification
(d) Marianne has never been north of Saskatoon or south of Santo Domingo. In other words, she has never been north of Saskatoon and she has never been south of Santo Domingo.
O De Morgan's Laws
O double negation
O modus ponens
O modus tollens
O simplification
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Introduction:
Simple arguments can serve as the foundation for more complex but equally sound arguments. The use of some straightforward arguments that have been proven to be true is crucial. These justifications are known as Rules of Inference.
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