
Concept explainers
Analyzing Fallacies. Consider the following examples of fallacies.
a. Identity the premise(s) and conclusion of the argument.
b. Briefly describe how the stated fallacy occurs in the argument.
c. Make up another argument that exhibits the same fallacy.
11. (Appeal to popularity) Apple’s iPhone outsells all other smart phones, so it must be the best smart phone on the market.
12. (False cause) I became sick just hours after eating at Burger Hut, so its food must have made me sick.
13. (Appeal to ignorance) Decades of searching have not revealed life on other planets, so life in the universe must be confined to Earth.
14. (Hasty generalization) I saw three people use food stamps to buy expensive steaks, so abuse of food stamps must be widespread.
15. (Limited choice) He refused to testify by invoking his Fifth Amendment rights, so he must be guilty.
16. (Appeal to emotion) Thousands of unarmed people, many of them children, are killed by firearms every year. It’s time we ban the sale of guns.
17. (Personal attack) Senator Smith’s bill on agricultural policy is a sham, because he is supported by companies that sell genetically modified crop seeds.
18. (Circular reasoning) Illegal immigration is against the law, so illegal immigrants are criminals.
19. (Diversion) Good grades are needed to get into college, and a college diploma is necessary for a good career. Therefore, attendance should count in high school grades.
20. (Straw man) The mayor wants to raise taxes to fund social programs, so she must not believe in the value of hard work.

Want to see the full answer?
Check out a sample textbook solution
Chapter 1 Solutions
EP USING+UNDERSTANDING MATH.-MYMATHLAB
- not use ai pleasearrow_forward4 In the integral dxf1dy (7)², make the change of variables x = ½(r− s), y = ½(r + s), and evaluate the integral. Hint: Find the limits on r and s by sketching the area of integration in the (x, y) plane along with the r and s axes, and then show that the same area can be covered by s from 0 to r and r from 0 to 1.arrow_forward7. What are all values of 0, for 0≤0<2л, where 2 sin² 0=-sin? - 5π 6 π (A) 0, л, and 6 7π (B) 0,л, 11π , and 6 6 π 3π π (C) 5π 2 2 3 , and π 3π 2π (D) 2' 2'3 , and 3 4元 3 1 די } I -2m 3 1 -3 บ 1 # 1 I 3# 3m 8. The graph of g is shown above. Which of the following is an expression for g(x)? (A) 1+ tan(x) (B) 1-tan (x) (C) 1-tan (2x) (D) 1-tan + X - 9. The function j is given by j(x)=2(sin x)(cos x)-cos x. Solve j(x) = 0 for values of x in the interval Quiz A: Topic 3.10 Trigonometric Equations and Inequalities Created by Bryan Passwaterarrow_forward
- not use ai pleasearrow_forward-xx0. B2 If Xfx(x) find the MGF in the case that fx(x) = - 1 28 exp{-|x − a\/ẞ}, Use the MGF to compute E(X) and Var(X).arrow_forwardName Assume there is the following simplified grade book: Homework Labs | Final Exam | Project Avery 95 98 90 100 Blake 90 96 Carlos 83 79 Dax 55 30 228 92 95 79 90 65 60 Assume that the weights used to compute the final grades are homework 0.3, labs 0.2, the final 0.35, and the project 0.15. | Write an explicit formula to compute Avery's final grade using a single inner product. Write an explicit formula to compute everyone's final grade simultane- ously using a single matrix-vector product.arrow_forward
- 1. Explicitly compute by hand (with work shown) the following Frobenius inner products 00 4.56 3.12 (a) ((º º º). (156 (b) 10.9 -1 0 2)), Fro 5')) Froarrow_forward3. Let 4 0 0 00 0 0 1.2 0 00 0 0 0 -10.1 0 0 0 D = 0 0 0 00 0 0 0 0 05 0 0 0 0 0 0 2.8 Either explicitly compute D-¹ or explain why it doesn't exist.arrow_forward4. [9 points] Assume that B, C, E are all 3 x 3 matrices such that BC == -64 -1 0 3 4 4 4 -2 2 CB=-1-2 4 BE -2 1 3 EC = 1 3 2 -7, 1 6 -6 2-5 -7 -2 Explicitly compute the following by hand. (I.e., write out the entries of the 3 × 3 matrix.) (a) [3 points] B(E+C) (b) [3 points] (E+B)C (c) [3 points] ETBTarrow_forward
- 6. Consider the matrices G = 0 (3) -3\ -3 2 and H = -1 2 0 5 0 5 5 noting that H(:, 3) = 2H(:,1) + H(:, 2). Is G invertible? Explain your answer. Is H invertible? Explain your answer. Use co-factor expansion to find the determinant of H. (Hint: expand the 2nd or 3rd row)arrow_forwardB3 Consider X ~ Bern(p) (a) Find Mx(t), the moment generating function of X. iid (b) If X1,..., Xn Bern(p), find the MGF, say My (t) of n Y = ΣΧ (c) Using the fact that i=1 n lim (1 (1+2)"= N→X = e² find limn→∞ My (t) in the case that p satisfies limn→∞ np = λ, say. (d) State the distribution of Y in the case that n is not large, and the distribution of Y in the limiting case described in the question.arrow_forwardB1 The density of the x2 distribution is given in the notes as 1 F(§)2/2 (x)=()2/21 x/2-1/2, if x > 0, and e where I(t)=√xt-¹e dx is the gamma function. otherwise, Find the point at which o(a) has its maximum, i.e. find arg max, o, (x)arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
