Is the following sentence a proposition? If it is a proposition, determine whether it is true or false.   “In the year 2000, Montreal was the capital of Quebec.”

4. Which rule of inference is used in the following argument? "Every student in this class studied for the exam. Ana is a student in this class. Therefore, Ana studied for the exam." a. Universal instantiation. b. Universal generalization. c. Existential instantiation. d. Existential generalization.

Provide symbolization keys and translations for the following sentences into QL.   6.) No one loves Raymond. ANSWER:   7.) Some animals that live in the sea are not fish. ANSWER:   8.) There are at least two monkeys in the zoo. ANSWER:   9.) There are at most two philosophers who are friends with Janet. ANSWER:   10.) Hypatia was a good philosopher and a good astronomer, and Hegel was a philosopher but not a good astronomer ANSWER:

Q: The propositional variables b, v, and s represent the propositions:   b: Alice rode her bike today. v: Alice overslept today. s: It is sunny today.   Select the logical expression that represents the statement: “Alice rode her bike today only if it was sunny today and she did not oversleep.”  b→(s→¬v)     2. b→(s∧¬v)   3. s∧(¬v→b) 4.  (s∧¬v)→b     Group of answer choices   A): b→(s∧¬v) B): b→(s→¬v) C): s∧(¬v→b) D): (s∧¬v)→b

The narrator of "The Yellow Wallpaper" agrees to stay in the old house, even though s her husband says it's best for her. What can the reader reasonably infer from this abo a)That she is confused about what her husband is asking of her b)That she is secretly planning her escape from the house, C)• That she is used to following her husband's directions, d) That she often stands up for herself against her husband e) That she is very sick and really does need the rest.

Which statement is NOT correct? O A. Every WFF is equivalent to a WFF in prenex normal form. B. Skolemization does not change the meaning of sentences. C. Skolemization generates equisatisfiable sentences. D. A formula in Skolem form does not have existentially quantified variables.

Construct a truth table to decide if the two statements are equivalent. ~p ∧ ~q; ~(p ∨ q) TRUE FALSE

Consider the following true propositions:• p : The applicant has passed the learner permit test.• q : The applicant has passed the road test.• r : The applicant is allowed a driver’s license.For each of the following sentences write,symbolically, the compound proposition that correspondstothe given sentence in English asit is written (do not change the order or form of the expression).a) The applicant did not pass the road test but passed the learner permit test.b) If the applicant passes the learner permit test and the road test, then the applicant is allowed adriver’s license.c) Passing the learner permit test and the road test are necessary for being allowed a driver’slicense.d) The applicant passed either the learner permit test or the road test, but not both.e) It is not true that the applicant does not pass the road test and is allowed a driver’s license.

Choose the best answer :If the final column of a truth table of a given statement formula has all F then it is called a) A Contradiction b) A negation statement c) none of the above

Part A: Which of the following is a quantified statement? a. Go, Eagles! b. When will I be loved? c. Go, Cougars! d. Honey is sweeter than sugar. e.No dogs are cats. Part B: Which of the following is a quantified statement? a. Wild animals need to be protected. b. Your pudding is hard as a rock. c. My car is green. d. This sentence is false. e. Some movies are too long.