The Great Courses (Firm)
Description
We commonly define the Pythagorean theorem using the formula a2 + b2 = c2. But Pythagoras himself would have been confused by that. Explore how this famous theorem can be explained using common geometric shapes (no fancy algebra required), and how it’s a critical foundation for the rest of geometry.
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Series
Great Courses volume 9
Description
Logic is intellectual self-defense against such assaults on reason and also a method of quality control for checking the validity of your own views. But beyond these very practical benefits, informal logic—the kind we apply in daily life—is the gateway to an elegant and fascinating branch of philosophy known as formal logic, which is philosophy’s equivalent to calculus. Formal logic is a breathtakingly versatile tool. Much like a Swiss army...
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Quantum mechanics gives us a picture of the world so radically counterintuitive that it has changed our perspective on reality itself. In Quantum Mechanics: The Physics of the Microscopic World, award-winning Professor Benjamin Schumacher gives you the logical tools to grasp the paradoxes and astonishing insights of this field.
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What's going on in your cognitive machinery as you manufacture your decision? Delve into the two-system model of decision making: System 1 is your automatic and intuitive processor, your earlier system from an evolutionary perspective; and System 2 is the flexible, powerful serial processor that you think of as "you."
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Alcohol is often discussed separately from other drugs, but as you'll discover in this lecture, alcohol affects the human body in many of the same ways. Take a close look at your brain on alcohol to explore dependence, withdrawal, and genetic susceptibility. Then review several treatment options for alcohol abuse.
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Chart subsequent occurrences of plague across Europe following the Black Death of the 14th century, culminating with the Great Plague of London of 1665–66. Learn how people developed critical strategies to combat outbreaks, from administrative bodies created to deal with the plague to the phenomena of pesthouses for the sick, plague pits, and quarantines.
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Whether it's chess, poker, or Sudoku, most games have this in common: Everything you need to win is rooted in mathematics. Now, using nothing more than a simple grasp of math, you can discover optimal ways to win games and solve puzzles with the speed and accuracy of professional players. These 12 lessons will teach you a rewarding set of skills you can apply to countless games and puzzles.
10) Anonymity
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With the pervasiveness of government and corporate surveillance, some people feel the urge to go off the grid. This lecture explores the benefits and challenges of anonymity for individuals and for society, delving into issues such as the freedom of political speech and the privacy of personal searches and communication. Take a look at two tools people use in pursuit of Internet anonymity: TOR networks and Bitcoin currency.
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Taught by Professor Bradley Schaefer of Louisiana State University, this course shows how ancient Egyptians, Greeks, Indians, Chinese, and other cultures saw the sky. You learn how the Sun, Moon, and stars were their clock, calendar, and compass; constellations encoded their mythologies; and the heavens inspired religious and philosophical ideas, laying the foundation for modern science.
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Focus on the dominant source of electricity in the U.S. today: coal. Begin by reviewing concepts from thermodynamics that explain how power plants work. Then follow the processes that turn a hopper full of coal into abundant electrical power, extracting the maximum amount of energy along the way..
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Darwin believed that musical behavior arose because it gave our early ancestors a biological advantage. But what advantage? Investigate Darwin’s theory and other adaptationist explanations for the evolution of music. Then look at two alternatives: invention theories and gene-culture co-evolution theories..
15) The Grand Finale
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This last lecture crowns the course by briefly summarizing 3,000 years of Egyptian history; outlining Egypt's legacy to us; surveying images of Egypt in film and literature; and listing ways you can pursue your interest in this remarkable civilization. Your learning needn't stop here!
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In Hinduism, death is part of a grander cycle of rebirth and suffering—with the ultimate goal of liberation (moksha). Here, ponder the concept of the Atman (one’s immutable soul); meet the Hindu gods who personify death and, relatedly, time; and learn what rituals can prevent a spirit from becoming stuck between worlds.
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Begin your study of musical rhythm by distinguishing periodic from non-periodic rhythmic patterns. Periodicity can be thought of as beat; non-periodicity involves expressive techniques such as timing variations and phrasing. Close by asking whether composers write music in the rhythmic patterns of their native language..
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Add the last movements of the form: shoot the tiger, sealing and closing, cross hands, and closing form. Go through the entire 40-movement form, feeling the flow. Ponder the significance of your journey to tai chi mastery, and consider the next steps on your path-because studying the art of tai chi chuan yields rewards for a lifetime.
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The expansion of the Islamic civilization between the 8th and 10th centuries played a major role in the history of Afro-Eurasian states and cultures. Survey the story of Islam from the life of Mohammed to the Sunni-Shia split to the Islamic Golden Age. Review the pillars of the faith and the culture's impact on the world.