Kinetic Gas Theory
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This lecture brings experiment to bear on the previous theoretical discussion of bonding by focusing on hybridization of the central atom in three XH3 molecules. Because independent electron pairs must not overlap, hybridization can be related to molecular structure by a simple equation. The "Umbrella Vibration" and the associated rehybridization of the central atom is used to illustrate how a competition between strong bonds and stable at...more
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Professor Shapiro continues his examination of Jeremy Bentham's formulation of classical utilitarianism, with a focus on the distributive implications of the theory of "maximizing the greatest happiness of the greatest number." He engages students in a discussion of a guiding principle of classical utilitarianism, the principle of diminishing marginal utility, and some traditional critiques of this principle. Professor Shapiro examines the...more
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The form of medicine that arose in fifth-century Greece, associated with the name of Hippocrates and later popularized by Galen, marked a major innovation in the treatment of disease. Unlike supernatural theories of disease, Hippocrates' method involved seeking the causes of illness in natural factors. This method rested upon an analogy between the order of the universe and the composition of the body's "humors." Health, on this view, was ...more
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While economists didn't have a good theory of interest until Irving Fisher came along, and didn't understand the role of collateral until even later, Shakespeare understood many of these things hundreds of years earlier. The first half of this lecture examines Shakespeare's economic insights in depth, and sees how they sometimes prefigured or even surpassed Irving Fisher's intuitions. The second half of this lecture uses the concept of pre...more
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Momentum and its conservation during collisions is introduced. Kinetic energy can decrease or increase during collisions. When kinetic energy is conserved, we call it an elastic collision. The momentum vector, internal forces, external forces and the conservation of momentum are discussed. Professor Lewin does some air track experiments where the released energy is from a compressed spring; kinetic energy increases but momentum is conserve...more
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Our understanding of the economy will be more tangible and vivid if we can in principle explain all the economic decisions of every agent in the economy. This lecture demonstrates, with two examples, how the theory lets us calculate equilibrium prices and allocations in a simple economy, either by hand or using a computer. In future lectures we shall extend this method so as to compute equilibrium in financial economies with stocks and bon...more
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The discussion of Gadamer and Hirsch continues in this lecture, which further examines the relationship between reading and interpretation. Through a comparative analysis of these theorists, Professor Paul Fry explores the difference between meaning and significance, the relationship between understanding and paraphrasing, and the nature of the gap between the reader and the text. Through Wolfgang Iser's essay, "The Reading Process," the n...more
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Using the law of conservation of energy to see how potential energy is converted into kinetic energy.
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John Locke had such a profound influence on Thomas Jefferson that he may be deemed an honorary founding father of the United States. He advocated the natural equality of human beings, their natural rights to life, liberty, and property, and defined legitimate government in terms that Jefferson would later use in the Declaration of Independence. Locke's life and works are discussed, and the lecture shows how he transformed ideas previously ...more
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In this lecture, two important issues are addressed in the context of Locke's Second Treatise. First, there is discussion on the role of the executive vis-a-vis the legislative branch of government in Locke's theory of the constitutional state. Second, Locke's political theories are related to the American regime and contemporary American political philosophy. The lecture concludes with John Rawls' book, A Theory of Justice, and how his ge...more
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The debate between contagionists and anticontagionists over the transmission of infectious diseases played a major role in nineteenth-century medical discourse. On the one side were those who believed that diseases could be spread by infected material, perhaps including people and inanimate objects, and on the other those who subscribed to the more venerable miasmatic theory. Although the contagionist view would be substantially vindicated...more
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Concentrates on recognizing and solving convex optimization problems that arise in engineering. Topics include: Convex sets, functions, and optimization problems. Basics of convex analysis. Least-squares, linear and quadratic programs, semidefinite programming, minimax, extremal volume, and other problems. Optimality conditions, duality theory, theorems of alternative, and applications. Interiorpoint methods. Applications to signal proc...more
