Economic Thinking On August 29th, we discussed most of the review questions from Chapter 2: 8am: 2-8; 9:10am: 2, 4-6, 9, 10; 11:30am 2, 4, 6, 9, 10 In the 8am section, we further examined deductive and inductive arguments. 1 Arguments Argument – a sequence of statements together with a claim. Inference – a statement that follows from one or more of the premises. Conclusion – the final inference in an argument. 2 A deductive argument … is one in which it is impossible for the premises to be true but the conclusion false. Ex: 1. All men are mortal. (premise) 2. Socrates was a man. (premise) 3. Socrates was mortal. (conclusion) … is valid if its inferences are correct and it contains no logical fallacies. … is sound if it is valid and all its premises are true. 3 Example of a deductive argument 1. All birds are mammals. (premise) 2. A platypus is a bird. (premise) 3. Therefore, the platypus is a mammal. (conclusion) Is it valid? Yes, it is valid. If so, is it sound? No, it is not sound; both premises are false. Nevertheless, the conclusion is true. We have refuted the argument, but not disproved its conclusion. 4 Example of a deductive argument 1. All trees are plants. (premise) 2. The redwood is a tree. (premise) 3. Therefore, the redwood is a plant. (conclusion) Is it valid? Yes, it is valid. If so, is it sound? Yes, it is sound; both premises are true. The conclusion must be true. 5 Is it valid? If so, is it sound? 1. Knowledge is power. (premise) 2. Power corrupts. (premise) 3. Therefore knowledge corrupts. (conclusion) No, it is not valid. It contains the fallacy of equivocation: Power is used in two different senses. It cannot be sound if it is not valid. 6 Is it valid? If so, is it sound? 1. All economists are scoundrels. (premise) 2. Eastwood is an economist. (premise) 3. Therefore Eastwood is a scoundrel. (conclusion) Yes, it is valid. No, it is not sound; the first premise is false. 7 An Inductive Argument …is one in which it is probable that the conclusion is true if the premise is true. Here is an example: 1. Socrates was Greek. (premise) 2. Most Greeks eat fish. (premise) 3. Socrates probably ate fish. (conclusion) … is strong if the probability is high. … is weak if the probability is low. … is cogent if it is strong and all its premises are true. … is uncogent if it is weak or if it has a false premise. 8 Try this: “Pieces of foam fall from the shuttle on almost every launch. However, the shuttle has never been seriously damaged by the foam. The foam is soft, but the wing is strong; the foam could not damage the wing. Therefore, there is no danger to the shuttle.” Identify and critique. 9 Try question 8, page 42: “If society decides to use its resources fully (that is, to produce on its production possibilities frontier), then future generations will be worse off because they will not be able to use these resources.” Identify the argument and critique it. 1. Some resources are scarce. (premise) 2. Producing on the PPF requires full and efficient resource utilization. (premise) 3. Using resources fully uses them faster. (premise) 4. Therefore the resources will be depleted sooner. (inference) 5. Therefore, future generations will have fewer resources. (inference) 6. Therefore, future generations will be worse off. (conclusion) 10 Summary In a valid deductive argument it is impossible for the premise to be true and the conclusion false. In a correct inductive argument it is improbable for the conclusion to be false if the premise is true. 11 The Fallacy of False Cause This fallacy occurs when in argument one mistakes what is not the cause of a given effect for its real cause. When an argument takes the following form, it is often incorrect: Event A occurs, then Event B occurs Therefore A causes B. 12 Variants of the False-Cause Fallacy Post hoc, ergo propter hoc (Latin) translates roughly as “after this, therefore because of this.” Accidental correlation: A occurs when B occurs. Therefore A causes B (or viceversa). 13 The Fallacy of Composition Assuming that what is true for the individual is true for the group. Frederic Bastiat’s “Petition of the Candle Makers” illustrates this fallacy. 14 The Fallacy of Decomposition Assuming that what is true for the group is true for the individual. Example: Gator-Aid tastes sweet. Therefore all the ingredients of Gator-Aid must taste sweet. 15 Production Possibility Frontier (PPF) Assumptions: Quantities of productive factors are fixed, but can be allocated among different types of production. Technology is constant. All scarce resources are fully and efficiently employed. 16 Beef (mill. lb./yr.) List the coordinates of the points A:(__,___) 1000 900 800 700 600 500 400 300 200 100 0 B:(___,____) C:(___,___) D 0 100 200 300 400 Tax Forms (millions/yr) 500 600 17 Beef (mill. lb./yr.) Find the slope of each segment. Include the units. A:(0,1000) 1000 900 800 700 600 500 400 300 200 100 0 B:(200,950) C:(400,700) D: (600, 0) 0 100 200 300 400 Tax Forms (millions/yr) 500 What does the slope of the PPF tell us? 600 18 Constant Opportunity Cost TEXTILES, T (millions of yards per year) 5 4 b A’s opportunity cost: 2 bushels S costs 1 yard T, |slope| = 0.5 yd./bu. 3 B’s opportunity cost: 1 bushel S costs 3 yards T, |slope| = 3 yd./bu. Who has CA in S? … in T? Can they gain from trade? Britain’s PPF 2 1 b’ a America’s PPF 1 a' 2 3 4 SOYBEANS, S (millions of bushels per year) 19 TEXTILES, T (millions of yards per year) Increasing Opportunity Cost 6 million bushels of T 20 18 Opportunity cost of 1 bushel of S is 1 yard T, a' |slope| = 1 yd./bu. 14 12 6 million yards S 6 0 America’s PPF 2 4 8 12 SOYBEANS, S (millions of bushels per year) TEXTILES, T (millions of yards per year) Increasing Opportunity Cost 36 30 24 Opportunity cost of 1 bushel of S is 9 yards of T, 18million yards of T |slope| = 9 yd./bu. a 15 Britain’s PPF 6 0 2 million bushels of S 4 7 8 9 12 SOYBEANS, S (millions of bushels per year) Coconuts ( bu./yr.) PPFs for two individuals 1400 1200 1000 800 Guy 600 400 Rob 200 0 0 200 400 600 800 1000 1200 1400 Fish (lbs/yr) 22 Coconuts ( bu./yr.) CPF with a price ratio of 1(bu/lb) 1400 Guy's production 1200 1000 800 600 400 200 Rob's 0 0 200 400 600 800 1000 1200 1400 Fish (lbs/yr) 23 Coconuts ( bu./yr.) If Guy and Rob share equally 1400 Guy's production 1200 1000 Both could eat (600,600) 800 600 400 200 Rob's 0 0 200 400 600 800 1000 1200 1400 Fish (lbs/yr) 24 Why Do Nations Trade? Absolute Advantage:A nation (individual) is said to have an absolute advantage in producing a good when it can produce that good ____________________. This greater efficiency in production is due to superior technology. Smith thought this explained trade patterns. 25 Comparative Advantage: A nation (individual) is said to have a comparative advantage in producing a good when it can produce that good __________ __________________________________. Ricardo -- differing technologies Heckscher-Ohlin -- differing resource endowments 26 Concepts and the PPF Scarcity Necessity of Choice Opportunity Cost Economic Growth Due to an increase in resources • Capital, Labor & Land Due to technological progress International Trade (many applications) 27 Classifying Economic Systems Who makes decisions? Centralized or Decentralized Who owns which resources? individuals or the state 28 Communism v. Capitalism Communism entails state ownership and centralized decision making Pure capitalism implies private ownership and decentralized decision making 29 Private Property Rights Fee-Simple property rights are broadest use the good as you choose, as long as you violate noone’s rights trade or give these rights to anyone or deny others the right to use a good Most argue that property rights are determined by law. 30