Let D be a set of dogs including the particular dogs Cardie (c) and Duncan (d). Define the following predicates on D: W(x) means "dog r likes walks", T(x) means “dog x is a terrier", R(x) means "dog x is a Rottweiler", and S(r,y) means "dog r is smaller than dog y" or equivalently “dog y is larger than dog æ". Using the first five of the statements below, prove the last statement using quantifier rules. (Translate the statements into symbolic ones before you start.) • Duncan is a terrier. • All terriers are smaller than Cardie. • Cardie is smaller than some Rottweiler. • If a first dog is smaller than a second dog, and the second is smaller than a third dog, then the first dog is smaller than the third. • All dogs like walks. There is a Rottweiler who is larger than some terrier who likes walks.

Let D be a set of dogs including the particular dogs Cardie (c) and Duncan (d). Define the following predicates on D: W(x) means "dog r likes walks", T(x) means “dog x is a terrier", R(x) means "dog x is a Rottweiler", and S(r,y) means "dog r is smaller than dog y" or equivalently “dog y is larger than dog æ". Using the first five of the statements below, prove the last statement using quantifier rules. (Translate the statements into symbolic ones before you start.) • Duncan is a terrier. • All terriers are smaller than Cardie. • Cardie is smaller than some Rottweiler. • If a first dog is smaller than a second dog, and the second is smaller than a third dog, then the first dog is smaller than the third. • All dogs like walks. There is a Rottweiler who is larger than some terrier who likes walks.

Computer Networking: A Top-Down Approach (7th Edition)

7th Edition

ISBN:9780133594140

Author:James Kurose, Keith Ross

Publisher:James Kurose, Keith Ross

Chapter1: Computer Networks And The Internet

Section: Chapter Questions

Problem R1RQ: What is the difference between a host and an end system? List several different types of end...

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Answer (c)
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Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.) D(x): x is a day S(x): x is sunny R(x): x is rainy M: Monday T: Tuesday 1. All animals are dogs. 2.Some animals are not cats. 3.Every animal that is a dog is not a cat. 4.Some animals are dogs and cats. 5.No animal is both a dog and a cat. 6. An animal is always a dog only if it is a cat. 7.No animals are dogs. 8.Meg is a cat; all animals are cats. 9.Meg and Alex are both cats. 10.If one animal is a cat, then every animal will be a cat.
Write the following English statements using the following predicates, anyneeded logical operators, and quantifiers if needed. Assume the domain of x is all students and thedomain of y is all states in US.B(x, y): Person x has been to state y. L(x, y): Person x likes state y. a. No one has been to every state in US.d. Alice has been to every state that Bob has been to.e. There is no state that both Alice and Bob have been to.
Let p, q, and r be the propositions p: You started a new video game this week. q: You finished all its quests.r: You didn’t win the platinum trophy.Express each of these propositions as an English sentence.¬p → ¬q(p ∧ q) → (¬r)((¬p) → (¬q)) ∨ (q → (¬r))(p ∧ q) ∨ (¬q ∧ r)
Using the predicate symbols shown and appropriate quantifiers, write each English language statement as a predicate wff. (The domain is the whole world.) D(x): x is a day S(x): x is sunny R(x): x is rainy M: Monday T: Tuesday 1.All animals are dogs. 3.Some animals are not cats. 4.Every animal that is a dog is not a cat. 5.Some animals are dogs and cats. 6.No animal is both a dog and a cat. 7.An animal is always a dog only if it is a cat. 8.No animals are dogs. 9.Meg is a cat; all animals are cats. 10.Meg and Alex are both cats. 11.If one animal is a cat, then every animal will be a cat.