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math.andrej.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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4gravitons.com
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| | | | | Merging quantum mechanics and gravity is a famously hard physics problem. Explaining why merging quantum mechanics and gravity is hard is, in turn, a very hard science communication problem. The more popular descriptions tend to lead to misunderstandings, and I've posted many times over the years to chip away at those misunderstandings. Merging quantum mechanics... | |
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unstableontology.com
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| | | | | Sometimes, a philosophy debate has two basic positions, call them A and B. A matches a lot of people's intuitions, but is hard to make realistic. B is initially unintuitive (sometimes radically so), perhaps feeling "empty", but has a basic realism to it. There might be third positions that claim something like, "A and B... | |
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richardzach.org
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| | | The eminent proof theorist and philosopher of mathematics William Walker ("Bill") Tait died March 15, 2024 in Chicago. He was 95. Bill was born on January 22, 1929, in Freeport, NY, and... | ||