(b) Let F(x) be "x is friendly," T(x) be "x learns a trick," and S(r) be "x is shy," where the domain consists of all dogs. Every dog who is friendly learns a trick. Every dog is friendly or shy. Therefore, every dog who isn't shy learns a trick. Write each of the following arguments in argument form (i.e., using propositions, predicates, quantifiers, and logical operators). Then, use the rules of inference and the laws of propositional logic to prove that each argument is valid. You must indicate the name of the rule used in each step of the proof. EXAMPLE: Let r be "I run" and let e be "I eat." If I run, then I eat. I run. Therefore, I run and I eat. hypothesis hypothesis Answer: 1. re re 2. r r 3. e .. гле modus ponens (1, 2) 4. гле conjunction (2, 3)

Database System Concepts
7th Edition
ISBN:9780078022159
Author:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Chapter1: Introduction
Section: Chapter Questions
Problem 1PE
icon
Related questions
Question
(b) Let F(x) be "x is friendly," T(x) be "x learns a trick," and S(r) be "x is shy," where the domain
consists of all dogs.
Every dog who is friendly learns a trick. Every dog is friendly or shy. Therefore, every dog who isn't
shy learns a trick.
Transcribed Image Text:(b) Let F(x) be "x is friendly," T(x) be "x learns a trick," and S(r) be "x is shy," where the domain consists of all dogs. Every dog who is friendly learns a trick. Every dog is friendly or shy. Therefore, every dog who isn't shy learns a trick.
Write each of the following arguments in argument form (i.e., using propositions, predicates, quantifiers, and
logical operators). Then, use the rules of inference and the laws of propositional logic to prove that each
argument is valid. You must indicate the name of the rule used in each step of the proof.
EXAMPLE: Let r be "I run" and let e be "I eat."
If I run, then I eat. I run. Therefore, I run and I eat.
hypothesis
hypothesis
Answer:
1.
re
re
2.
r
r
3.
e
.. гле
modus ponens (1, 2)
4.
гле
conjunction (2, 3)
Transcribed Image Text:Write each of the following arguments in argument form (i.e., using propositions, predicates, quantifiers, and logical operators). Then, use the rules of inference and the laws of propositional logic to prove that each argument is valid. You must indicate the name of the rule used in each step of the proof. EXAMPLE: Let r be "I run" and let e be "I eat." If I run, then I eat. I run. Therefore, I run and I eat. hypothesis hypothesis Answer: 1. re re 2. r r 3. e .. гле modus ponens (1, 2) 4. гле conjunction (2, 3)
Expert Solution
steps

Step by step

Solved in 2 steps

Blurred answer
Similar questions
  • SEE MORE QUESTIONS
Recommended textbooks for you
Database System Concepts
Database System Concepts
Computer Science
ISBN:
9780078022159
Author:
Abraham Silberschatz Professor, Henry F. Korth, S. Sudarshan
Publisher:
McGraw-Hill Education
Starting Out with Python (4th Edition)
Starting Out with Python (4th Edition)
Computer Science
ISBN:
9780134444321
Author:
Tony Gaddis
Publisher:
PEARSON
Digital Fundamentals (11th Edition)
Digital Fundamentals (11th Edition)
Computer Science
ISBN:
9780132737968
Author:
Thomas L. Floyd
Publisher:
PEARSON
C How to Program (8th Edition)
C How to Program (8th Edition)
Computer Science
ISBN:
9780133976892
Author:
Paul J. Deitel, Harvey Deitel
Publisher:
PEARSON
Database Systems: Design, Implementation, & Manag…
Database Systems: Design, Implementation, & Manag…
Computer Science
ISBN:
9781337627900
Author:
Carlos Coronel, Steven Morris
Publisher:
Cengage Learning
Programmable Logic Controllers
Programmable Logic Controllers
Computer Science
ISBN:
9780073373843
Author:
Frank D. Petruzella
Publisher:
McGraw-Hill Education