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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.
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Chapter 1 Solutions
USING AND UNDERSTANDING MATHEMATICS W/
- The 173 acellus.com StudentFunctions inter ooks 24-25/08 R Mastery Connect ac ?ClassiD-952638111# Introduction - Surface Area of Composite Figures 3 cm 3 cm 8 cm 8 cm Find the surface area of the composite figure. 2 SA = [?] cm² 7 cm REMEMBER! Exclude areas where complex shapes touch. 7 cm 12 cm 10 cm might ©2003-2025 International Academy of Science. All Rights Reserved. Enterarrow_forward2 x²+1 dx x47x²+1arrow_forwardQuestion attachedarrow_forward
- The graph of f(x) is given in the figure below. draw tangent lines to the graph at x=-3,x=-2,x=1,and x=4. estimate f'(-3),f'(-2),f'(1),and f'(4). Round your answers to one decimal place.arrow_forwardConsider the functions f(x)=4x-1 and g(x)=sq root of -x+7. Determine 1. f o g(x) 2. Give the domain of f o g(x) 3. g o f (x) 4. Give the domain of g o f(x)arrow_forward12. lim h→0 √5x+5h -√5x h where x>0 is constaarrow_forward
- If f(x)=x2+4, g(x)=x-6, h(x)=sq root of x, then (f o g o h)(x)=arrow_forwardIf f(x)=x2+4, g(x)=x-6, h(x)=sq root of x, then (f o g o h)(x)=arrow_forwardYou are given a plane Π in R3 defined by two vectors, p1 and p2, and a subspace W in R3 spanned by twovectors, w1 and w2. Your task is to project the plane Π onto the subspace W.First, answer the question of what the projection matrix is that projects onto the subspace W and how toapply it to find the desired projection. Second, approach the task in a different way by using the Gram-Schmidtmethod to find an orthonormal basis for subspace W, before then using the resulting basis vectors for theprojection. Last, compare the results obtained from both methodsarrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
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