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mycqstate.wordpress.com | ||
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intellectualmathematics.com
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| | | | | The discovery of non-Euclidean geometry in the 19th century radically undermined traditional conceptions of the relation between mathematics and the world. Instead of assuming that physical space was the subject matter of geometry, mathematicians elaborated numerous alternative geometries abstractly | |
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njwildberger.com
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| | | | | Modern mathematics is enormously complicated and sophisticated. It takes some courage, and perhaps some foolishness, to dare to suggest that behind the fancy theories lie serious logical gaps, and indeed error. But this is the unfortunate reality. Around the corner, however, is a new and more beautiful mathematics, a more honest mathematics, in which everything... | |
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www.quantamagazine.org
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| | | | | Number theorist Andrew Granville on what mathematics really is - and why objectivity is never quite within reach. | |
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scottaaronson.blog
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| | | The following is the lightly-edited transcript of a talk that I gave a week ago, on Wednesday October 5, at Avi Wigderson's 60th birthday conference at the Institute for Advanced Study in Princeton. Videos of all the talks (including mine) are now available here. Thanks so much to Sanjeev Arora, Boaz Barak, Ran Raz, Peter... | ||
