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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/
- x+10+2 = 6 x =?arrow_forward4. Prove: If x {0, 1} then x² - -x=0. 5. 6. Prove by contrapositive: Suppose x is a real number. If x>0 then x + 16 0. Prove by contradiction: Suppose n is an integer. Then n² - n+10. Hint: You might try organizing the proof by cases on whether n is even or odd. Is n² - n+1 even or odd?arrow_forwardLet f(x)=7x²-2x and g(x) = 5x+3. Find f[g(k)].arrow_forward
- Use the method of reduction of order to find a second solution to ty"-(4t+4)+(4t+8)y = 0, t> 0 Given y₁(t) = e²t Y2(t) = Give your answer in simplest form (ie no coefficients)arrow_forward1. Suppose the domain of discourse is kinds of minerals. Let A be kinds of minerals that dissolve in acid, let S be minerals that can be scratched by an iron nail, and let C be minerals that are clear. Write expressions using set operations that represent the following sets of minerals: (a) Minerals that dissolve in acid and can be scratched by an iron nail. (b) Minerals that dissolve in acid and are not clear. (c) Minerals that are either clear or both dissolve in acid but cannot be scratched by an iron nail. (d) Minerals that are neither dissolvable in acid nor scratable by an iron nail. (e) Minerals that are either both dissolvable in acid and scratchable by an iron nail or both dissolvable in acid and not clear.arrow_forwardExpress the integrand as a sum of partial fractions and evaluate the integral. 2 32s+ 32 (s²+1) (s-1)3 ds Express the integrand as a sum of partial fractions. (Simplify your answer.)arrow_forward
- Solve the problemarrow_forwardPerform long division on the integrand, write the proper fraction as a sum of partial fractions, and then evaluate the integral. 30x³-60x²+8 dx 2 x-2x After performing the long division, write the resulting proper fraction as a sum of partial fractions. Evaluate the integral. 30x³-60x²+8 2 x² -2x dx=arrow_forwardEvaluate the following integral. x/6 S tan 2x dx x/12arrow_forward
- Trigonometry (MindTap Course List)TrigonometryISBN:9781305652224Author:Charles P. McKeague, Mark D. TurnerPublisher:Cengage Learning
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