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thonyc.wordpress.com | ||
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www.thingsrevealed.net
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letterstonature.wordpress.com
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| | | | | Warning: long post! Abstract: Neil deGrasse Tyson has argued that Isaac Newton's religious views stymied his science, preventing him from discovering what Laplace showed a century later - that theplanetary orbits are stable against perturbation. This conclusion is highly dubious. Newton did develop perturbation theory, and applied it to the moon's orbit. His lack of... | |
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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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dvt.name
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| | | Gödel's incompleteness theorems have been hailed as "the greatest mathematical discoveries of the 20th century" - indeed, the theorems apply not only to mathematics, but all formal systems and have deep implications for science, logic, computer science, philosophy, and so on. In this post, I'll give a simple but rigorous sketch of Gödel's First Incompleteness ... | ||
