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www.themathdoctors.org
| | 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
| | thatsmaths.com
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| | [AI summary] A blog archive listing titled 'ThatsMaths' containing over 600 posts from 2002 to 2025 covering mathematical history, problems, applications, and scientific concepts.
| | catb.org
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| | discusses the best current understanding of the relationship between mathematical and empirical knowledge
| | thehousecarpenter.wordpress.com
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| NB: I've opted to just get straight to the point with this post rather than attempting to introduce the subject first, so it may be of little interest to readers who aren't already interested in proving the completeness theorem for propositional logic. A PDF version of this document is available here. The key thing I...