Catalog Search Results
Author
Publisher
Teaching Co
Pub. Date
©2009
Language
English
Description
These lectures reveal how mathematics has changed the way people look at the world. We study how the model of certainty in Euclid's revolutionary Elements influenced philosophers for centuries, and how the invention of non-Euclidiean geometry further influenced philosophy and changed modern views of the world. As well. we consider how the newer disciplines of probability and statistics gave scientists ways of dealing--with precision--with events that...
Author
Language
English
Formats
Description
"The first major biography of the logician and mathematician whose incompleteness theorems helped launch a modern scientific revolution. Nearly a hundred years after its publication, Kurt Gödel's famous proof that every mathematical system must contain propositions that are true--yet never provable--continues to unsettle mathematics, philosophy, and computer science. Yet unlike Einstein, with whom he formed a warm and abiding friendship, Gödel has...
3) Flatland
Publisher
Kanopy Streaming
Pub. Date
2014.
Language
English
Description
In 1962 John Hubley came to Harvard University as the first teacher of animation in the new Visual Arts Center. It was his idea to make a film based on Edwin Abbott's famous novel about life in a two-dimensional world, Flatland.
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
Professor Jason Rosenhouse presents his favorite brain teasers and logic puzzles. Each episode starts with a relatively simple puzzle that illustrates a mathematical idea or problem-solving strategy. From there, you progress to more challenging problems that will provide hours of amusement. Puzzles include the Monty Hall problem, the "Hardest Logic Puzzle Ever," and many more.
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
Ponder probability, starting with the chances of getting an ace of spades when you turn over the top cards on two well-shuffled decks. In probability, it's a safe bet that your first instinct is wrong! Investigate other phenomena, including the chances that your suitcase is lost when 98 percent of the luggage has arrived at baggage claim, but yours has not.
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
Now turn to logic puzzles, trying to distinguish between knights who only make true statements, and knaves who only tell falsehoods. Start with simple cases. Then introduce tricky "if–then" statements. Next, what if the knight or knave is insane and thus has false beliefs? This makes things trickier! Finally, add a third category: normal people who are sometimes truthful, sometimes not.
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
Lewis Carroll, author of Alice's Adventures in Wonderland, wrote a book of logic puzzles for children. Take a crack at some of these fun exercises, which Carroll designed to illustrate the principles of Aristotelian logic. See what you can conclude from such categorical statements as "all wasps are unfriendly, and all puppies are friendly." Carroll's syllogisms get progressively more elaborate.
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
Finish your study of logic with puzzles where you must draw conclusions based on what other people can infer from information they are given. Your first example is the "muddy children" puzzle, in which children with muddy faces must conclude with logical certainty (without looking in a mirror, feeling their faces, or being told) that they have muddy faces. Such puzzles are unusually subtle.
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
Return to the Island of Knights and Knaves to consider puzzles where asking the right questions is the point of the problem. Work your way up to the famous "heaven or hell" puzzle. Then close with an exercise in coercive logic, devised by noted mathematician and puzzle master Raymond Smullyan. Easy riches hinge on a very simple bargain that sounds too good to be true. Do you accept?
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
Why do we create puzzles simply for the pleasure of solving them? After proposing a few theories, Professor Rosenhouse notes that mathematicians love puzzles, especially those that lead to deep mathematical insights. Get warmed up for the series with six brain teasers involving hourglasses, a restaurant order, a biased coin, the numbers on a clock face, and two chessboard scenarios.
11) Mathematical Brain Teasers and Logic Puzzles: Episode 7,The Saga of the Hardest Logic Puzzle Ever
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
Learn about biconditional statements of the form, "p if and only if q." Then tackle the "Hardest Logic Puzzle Ever," devised by philosopher George Boolos. You have three yes/no questions to identify three gods: the god who always answers truthfully, the god who always lies, and the god who randomly mixes true and false answers. One big problem: They answer in a language you don't speak.
Publisher
The Great Courses
Pub. Date
2020.
Language
English
Description
Study the famous Monty Hall problem from the game show Let's Make a Deal. Your quandary: A new car is hidden behind one of three doors; after making your choice, your door is left shut and one of the doors without the car is opened. Do you care to switch to the other closed door? Find out why one expert says, "No other statistical puzzle comes so close to fooling all the people all the time."
Author
Publisher
Basic Books
Language
English
Formats
Description
"Where does math come from? From a textbook? From rules? From deduction? From logic? Not really, Eugenia Cheng writes in Is Math Real?: it comes from curiosity, from instinctive human curiosity, "from people not being satisfied with answers and always wanting to understand more." And most importantly, she says, "it comes from questions": not from answering them, but from posing them. Nothing could seem more at odds from the way most of us were taught...
Publisher
[Publisher not identified]
Pub. Date
[2015]
Language
English
Description
Astrophysicist Mario Livio, along with a colorful cast of mathematicians, physicists, and engineers, follow math from Pythagoras to Einstein and beyond, all leading to the ultimate riddle: Is math an invention or a discovery? Humankind₂s clever trick, or the language of the universe? Join Nova for a mathematical mystery tour, a provocative exploration of math₂s astonishing power across the centuries.
Author
Publisher
Yale University Press
Pub. Date
2020
Language
English
Description
An inclusive vision of mathematics-its beauty, its humanity, and its power to build virtues that help us all flourish0 For mathematician Francis Su, a society without mathematical affection is like a city without museums. To miss out on mathematics is to live without experiencing some of humanity's most beautiful ideas. In this profound book, written for a diverse audience but especially for those disenchanted by their past experiences, an award-winning...
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