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A one-volume reference to the history of ideas that is a compendium of everything that humankind has thought, invented, created, considered, and perfected from the beginning of civilization into the twenty-first century. Massive in its scope, and yet accessible, "A History of Knowledge" covers not only all the great theories and discoveries of the human race, but also explores the social conditions, political climates, and individual men and women of genius that brought ideas to fruition throughout history. By the way, Charles Van Doren was once editorial director of the Encyclopedia Britannica.

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A History of Knowledge in Amazon

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history book historical inquiry
This is not an easy book to read, but if you have a reasonable background in mathematics, your hard work will pay off.

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Volume 1 - Induction and Analogy in Mathematics

Volume 2 - Patterns of Plausible Inference

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mathematics reasoning book mathematical inquiry
A show about our data age. Each week, Jody Avirgan brings you stories and interviews on how data is changing our lives.

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science podcast statistical thinking statistics
In talking about the distinction between Mathematicians and Physicists, Feynman touches upon the distinction between Mathematical and Scientific Inquiry.

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Micromotives and Macrobehavior was originally published over twenty-five years ago, yet the stories it tells feel just as fresh today. And the subject of these stories—how small and seemingly meaningless decisions and actions by individuals often lead to significant unintended consequences for a large group—is more important than ever. In one famous example, Thomas C. Schelling shows that a slight-but-not-malicious preference to have neighbors of the same race eventually leads to completely segregated populations.

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science economics behavioral economics scientific inquiry
As a Wharton professor, Philip Tetlock showed in a landmark 2005 study that even experts’ predictions are only slightly better than chance. However, an important and underreported conclusion of that study was that some experts do have real foresight, and Tetlock has spent the past decade trying to figure out why. What makes some people so good? And can this talent be taught?

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The book/essay frames learning mathematics as an artistic and imaginative pursuit which is not reflected at all in the way the subject is currently taught.

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mathematics education school education inquiry oriented education mathematical inquiry
The World Science Festival is a production of the Science Festival Foundation. The Foundation's mission is to cultivate a general public informed by science, inspired by its wonder, convinced of its value, and prepared to engage with its implications for the future.

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The power and attractiveness of the subject of mathematics is often hidden from students who are in introductory courses. In this new, innovative overview textbook, the authors put special emphasis on the deep ideas of mathematics, and present the subject through lively and entertaining examples, anecdotes, challenges and illustrations, all of which are designed to excite the student's interest. The underlying ideas include topics from number theory, infinity, geometry, topology, probability and chaos theory.

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The Signal and The Noise : Why Most Predictions Fail – but Some Don't is a book by Nate Silver detailing the art of using probability and statistics as applied to real-world circumstances.

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Online Courses is a database of courses from the best universities from around the world. Apart from serving as a database, it also helps you pick courses you would enjoy based on your preferences and past choices.

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A book by Richard Thaler and Cass Sunstein on how we can apply the new science of choice architecture to nudge people toward decisions that will improve their lives by making them healthier, wealthier, and more free

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science economics behavioral economics book
This is an introductory textbook on probability and induction written by one of the world's foremost philosophers of science. The book has been designed to offer maximal accessibility to the widest range of students (not only those majoring in philosophy) and assumes no formal training in elementary symbolic logic. It offers a comprehensive course covering all basic definitions of induction and probability, and considers such topics as decision theory, Bayesianism, frequency ideas, and the philosophical problem of induction.

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probability philosophy reasoning book
FiveThirtyEight maintains the innovative and entrepreneurial spirit of the original site Nate Silver founded in 2008, while extending its coverage to diverse areas such as sports, politics, economics, science and life.

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science blog magazine statistical thinking statistics
Does modern pure mathematics make logical sense? No, unfortunately there are serious problems! Foundational issues have been finessed by modern mathematics, and this series aims to turn things around. And it will have interesting things to say also about mathematics education---especially at the primary and high school level.
The plan is to start right from the beginning, and to define all the really important concepts of basic mathematics without any waffling or appeals to authority.

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foundations of mathematics youtube playlist mathematics video mathematical inquiry
A podcast inquiring into a particular murder in the late 90s, Serial brings up very important considerations for Historical Inquiry in general.

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science history historical inquiry podcast scientific inquiry