Let P- "I return my books on time" Q- "I make noise in the library", and...
Let p, q, and r represent the following simple statements. p: I get an A. q: It is snowing outside. r: I work hard. Write the following compound statement in its symbolic form. I get an A and it is snowing outside, or I work hard. The symbolic form is
Let P(X) be the predicate " is a dragon." Let Q(x) be the predicate "x breathes fire.” Let R(x,y) be the predicate "x and y are the same object.” Let S be an arbitrary nonempty set. Rewrite the following English statements in symbolic no- tation using predicates P, Q, R, universal and existential quanti- fiers, and any variables you want. i. There are no dragons in S. ii. Not everything in S is a dragon. iii. There is at least...
Answer the questions for the following argument. If my laptop does not work, then I will use my sister’s computer. My laptop works. I will not use my sister’s computer. [5 pts] Define statement variables (e.g., p, q) and formally rewrite the above argument into an argument form [5 pts] Is the above argument form you answered valid or invalid? Why? Do not use a truth table when justifying your answer.
Let p and q be the following statements. p: Ravi is going to work on Monday. q: We are going to the museum. Consider this argument Premise 1: If Ravi is going to work on Monday, then we are going to the museum. Premise 2: Ravi is not going to work on Monday. Conclusion: Therefore, we are not going to the museum. (a) Write the argument in symbolic form. Premise 1: р 9 Premise 2: 0 Conclusion: - 0 DAD...
3. (6 marks) Consider the following argument: Handing my assignment in on time is necessary for me to get a passing mark for my assignment. If I get up early and skip breakfast, then I hand in my assignment on time. I get up early but I do not skip breakfast. Therefore I get a passing mark for my assignment. (a) Write this argument in symbolic form, using the variables listed below. I hand my assignment in on time I...
question 13 Let p. q, and r represent the following simple statements. p. The temperature is below 40 q: We finished writing. We go to the slope. Write the symbolic statement (TAG) p in words of the symbolic statement is given without parentheses, statements before and after the most dominant connective should be grouped. Translate into English Choose the correct sentence below. O A. If we go to the slope or we have finished writing, then the temperature is below...
QUESTION 2 a. Let p and q be the statements. i Construct the truth table for (-p V q) ^ q and (-p) v q. What do you notice about the truth tables? Based on this result, a creative student concludes that you can always interchange V and A without changing the truth table. Is the student, right? ii. Construct the truth tables for (-p VG) A p and (-p) v p. What do you think of the rule formulated...
Let p(q) = 24 + x3 +1 € Z2[2] and let a = [2] in the field E = Z2[r]/(p()), so a is a root of p(q). (a) (15 points) Write the following elements of E in the form aa'+ba? +ca +d, with a, b, c, d e Z2. i. a", a, a, and a 10 ii. a ta' + a² +1 iii. (a? + 1)" (b) (5 points) The set of units E* = E-{0} of the field E...
Let p(q) = 24 + x3 +1 € Z2[2] and let a = [2] in the field E = Z2[r]/(p()), so a is a root of p(q). (a) (15 points) Write the following elements of E in the form aa'+ba? +ca +d, with a, b, c, d e Z2. i. a", a, a, and a 10 ii. a ta' + a² +1 iii. (a? + 1)" (b) (5 points) The set of units E* = E-{0} of the field E...
1. Let p be the proposition "I am a dog", q be the proposition "I like cats", and r be the proposition "I am related to wolves". Translate the following expressions into English. [5 marks] a. rAq